JP5996206B2 - Spectacle wearing simulation system, spectacle wearing simulation information providing method, and spectacle wearing simulation program - Google Patents

Description

  The present invention relates to a spectacle wearing simulation system, a spectacle wearing simulation information providing method, and a spectacle wearing simulation program, and more particularly to a spectacle wearing simulation technique that allows a wearer to simulate an eye image that can be observed when a spectacle lens is worn.

  Normally, when a wearer wears spectacles, the eye looks small with a myopic lens and the eye looks large with a farsighted lens due to refraction by the spectacle lens. In the conventional spectacle wearing simulation apparatus, the synthesized image does not fully consider the refraction by the lens. Therefore, the size of the eye image that can be observed when the spectacle lens is worn may not be able to obtain a simulation result that reflects the effect of the actual spectacle lens, even if a simulation is performed.

  For this pre-conventional situation, it is assumed that a still image of a customer's face without a spectacle frame is taken with a video camera or the like, and a pre-registered spectacle frame image is synthesized and displayed on this image. Such a technique is known (for example, Patent Document 1). Specifically, as shown in the specification paragraph 0012 of FIG. 4 and FIG. 4 and FIG. 5, the object side surface (hereinafter referred to as “front surface”) and the eyeball side surface (hereinafter referred to as “back surface”). The distance between the center of thickness of the spectacle lens and the feature point of the eye contour of the wearer and the lens power are taken into consideration in the simulation.

JP-A-6-139318

  As spectacle lenses, there are aspherical single-focus lenses and progressive lenses whose power changes on the surface, in addition to conventional single-focus lenses with spherical and toric surfaces (hereinafter also simply referred to as “spherical lenses”). . Furthermore, in recent years, even so-called individual lenses that use differently shaped surfaces according to individual parameters of patients have appeared even with lenses of the same power. These lenses having a complex surface (hereinafter referred to as the above-mentioned lens, and the lens other than the “spherical lens” are also simply referred to as “aspherical lens”) are light incident from the front surface and light emitted from the rear surface. Is significantly different from that of the spherical lens.

It is ideal if the patient receives an optometry at a spectacles store, decides the frame, and puts on the actual glasses on the spot to see how his / her face looks, including the expansion and contraction of the eyes. It also has to accurately reproduce the deformation of the image in the frame, reflecting the individually designed surface based on characteristic values such as prescription power and lens posture. Furthermore, it is necessary to complete a series of processes in a short time without causing the wearer to wait as much as possible.
However, there are many problems to satisfy the above requirements. In particular, there are the following two problems.

One is a problem about “expansion of information amount”. In the first place, as a method of accurately reproducing the deformation of the image in the frame, the position (original image position) where the ray passing through the position of the pixel on the frame intersects the face (around the eye) for all pixels is skewed. It is necessary to obtain by ray tracing. Aspherical ray tracing requires a large amount of calculation, and if it is performed for all pixels, the calculation time is enormous.
Of course, if there is a real spectacle lens (aspheric lens) that meets all the prescription values of the wearer, ask the customer to try the spectacle lens at a spectacle store, etc., and actually check the enlargement / reduction of the eye It is possible. However, in an aspheric lens, the optical surface shape is determined according to the prescription of the wearer. That is, the spectacle lens is manufactured by the wearer's custom-made (custom-made), and the prescription of each wearer is reflected, so that the surface shape of the aspherical lens is extremely complicated. Yes. Therefore, it is not realistic to manufacture such an aspherical lens having an extremely complicated shape only for trial use.
It is also conceivable to simulate eye enlargement / reduction based on the surface shape data of the aspherical lens without actually manufacturing the aspherical lens. However, as described above, the surface shape of the aspherical lens is extremely complicated. This will lead to an enormous amount of surface shape data. Then, the spectacle lens manufacturer has to prepare a huge amount of data on the surface shape of the aspherical lens only for the purpose of simulating the enlargement / reduction of the image of the eye. In addition, there may be a situation where the spectacle store side has to process the enormous amount of data. As a result, not only the spectacle lens manufacturer but also the burden on the spectacle store increases.

  The other is a problem about “risk of leakage of technical information”. In the first place, in order to enable ray tracing, accurate surface shape data must be acquired. Since this data includes the manufacturer's technical information, it must be prevented from leaking outside. When the eye enlargement / reduction calculation is performed by the server of the spectacle lens manufacturer, the spectacle lens manufacturer can take measures to prevent technical leakage. However, when eye enlargement / reduction calculation is performed by a PC of a spectacle store or a server of a network service provider that has been outsourced, detailed shape data on an aspherical lens that is a lump of technical information is obtained from the PC or server. The possibility of leaking outside cannot be denied. Therefore, a spectacle lens manufacturer needs to prepare a system such as a safety net to cope with the above case.

  In the conventional simulation method based on a single focus lens, the deformation of the periphery of the eye within the frame frame that can be observed when a spectacle lens having an aspherical shape is worn (hereinafter referred to as “eye image”). "Scaling") may not be accurately simulated. As in Patent Document 1, in a method based on paraxial ray tracing, an eye image is enlarged or reduced at a uniform magnification. It must be said that this is a big departure from the fact. Even in the case of a spherical lens, as indicated by the presence of distortion, the magnification near the optical axis and the magnification around the lens are different and not uniform.

  As a result, in the conventional simulation method based on a spherical lens, the magnification of the size of an eye image that can be observed when a spectacle lens having an aspherical shape is worn (hereinafter referred to as “eye image scaling”). May also be unable to simulate correctly.

  The reduction in the simulation accuracy is larger (or smaller) than the image of the wearer's eye that should have been simulated at the spectacle store, leading to a situation in which the wearer's eye is reflected on a third party. If it becomes so, it will become a result different from the appearance which he imagines for the wearer, and the situation where it looks bad depending on the case will be caused. Further, the wearer is dissatisfied with the spectacle store or spectacle lens manufacturer, and as a result, the possibility that the spectacle store or spectacle lens manufacturer cannot obtain sufficient customer satisfaction cannot be denied.

  Therefore, the present invention provides a spectacle wearing simulation system and spectacles that realize a precise simulation of an eye image that can be observed when a wearer wears a spectacle lens, regardless of the spectacle lens shape, while suppressing the risk of information leakage. It is an object to provide a wearing simulation information providing method and a spectacle wearing simulation program.

  Offers customized eyeglass lenses for each wearer, complicates optical surface shape due to the adoption of an aspherical shape for spectacle lenses, and expands data related to the aspherical shape of the optical surface of spectacle lenses Under the circumstances, we have faced the above-mentioned challenges that no one has ever faced, as we have a tireless search for customer satisfaction. Then, the simulation of the enlargement / reduction of the eye image in the aspherical lens was examined. As a result, the present inventors, when the wearer wears the spectacle lens, the actual arrangement relationship between at least a part of the shape of the eye of the wearer and the back surface of the spectacle lens (hereinafter referred to as the spectacle lens) Based on the above, the method of simulating the enlargement / reduction of the eye image was conceived.

  In Patent Document 1, as described above, a still image of the face of a wearer who does not wear a spectacle frame is taken with a video camera or the like, and a pre-registered spectacle frame image is synthesized and displayed on this image. This is a technology based on the above method. In other words, the wearer does not actually wear a spectacle lens, but even wears a spectacle frame. As can be seen from the above, at the spectacle position m ′ referred to in Patent Document 1, no assumptions have been made about the “actual arrangement relationship” when the wearer wears the spectacle lens in the present invention. Absent.

As described above, the present invention has been made based on the above-described new knowledge by the present inventors.
One aspect of the present invention is:
In a spectacle wearing simulation system that allows a wearer to experience an eye image that can be observed when a spectacle lens is worn,
When the spectacle lens is worn, the wearer selects the spectacle lens based on the actual positional relationship between at least a part of the shape of the eye shape of the wearer and the eyeball side surface of the spectacle lens. A simulation image generating means for generating a simulation image reflecting the enlargement / reduction of an eye image generated when worn;
Simulation image display means for displaying the simulation image;
It is the spectacles wearing simulation system characterized by having.
Another aspect of the present invention provides:
In a method for providing spectacle wearing simulation information that allows a wearer to experience an eye image that can be observed when a spectacle lens is worn,
When the spectacle lens is worn, the actual arrangement relationship between at least a part of the shape of the eye shape of the wearer and the eyeball side surface of the spectacle lens is set to the user device installed in the store. Enter
Based on the input actual arrangement relationship, in the user device or a server device connected to the user device, generate a simulation image reflecting the expansion and contraction of the eye image that occurs when the wearer wears a spectacle lens,
Providing simulation information for spectacle wearing by displaying the generated simulation image on the simulation image display means in the user device and allowing the wearer to experience a simulated eye image when the spectacle lens is worn Is the method.
Another aspect of the present invention provides:
In the eyeglass wear simulation program that allows the wearer to experience an eye image that can be observed when wearing a spectacle lens,
Computer
When the spectacle lens is worn, the wearer selects the spectacle lens based on the actual positional relationship between at least a part of the shape of the eye shape of the wearer and the eyeball side surface of the spectacle lens. A simulation image generating means for generating a simulation image reflecting the enlargement / reduction of an eye image generated when worn; and
Simulation image display means for displaying the simulation image;
It is a spectacle wearing simulation program characterized in that it is functioned as:

  According to the present invention, it is possible to realize a precise simulation of an eye image that can be observed when a wearer wears a spectacle lens regardless of the spectacle lens shape, while suppressing the risk of information leakage.

It is a block diagram which shows the structural example of the whole spectacles wear simulation system in this embodiment. It is a block diagram which shows the function structural example of the order side apparatus in the spectacles wear simulation system in this embodiment. It is a block diagram which shows the function structural example of the order receiving side apparatus in the spectacles wearing simulation system in this embodiment. It is a flowchart which shows the outline | summary of the procedure of the spectacles wearing simulation system in this embodiment. FIG. 5 is a schematic diagram for explaining spherical component parameters and correction component parameters in the present embodiment, and in particular, correction component parameters (“starting point information correction value” and “ It is a figure for demonstrating gradient information correction value "). (A) is an XY plan view (cross-sectional view of the spectacle lens), and (b) is a YZ plan view (plan view of the spectacle lens). It is the schematic for demonstrating the spherical component parameter and correction | amendment component parameter in this embodiment, and is a figure for demonstrating especially the case where a spectacles lens is arrange | positioned forward (a) or inward (b). It is. (A) is an XY plan view (cross-sectional view of the spectacle lens), and (b) is an XZ plan view (cross-sectional view of the spectacle lens).

Hereinafter, embodiments of the present invention will be described in detail.
In the present embodiment, an aspheric lens is used as the spectacle lens, and the description will be given in the following order.
1. 1. Configuration example of the entire spectacle wearing simulation system 2. Example of functional configuration of ordering device Example of functional configuration of order-receiving device A) Mechanism of simulation B) Each means for embodying the simulation 4. Simulation procedure Simulation program 6. Method for providing simulation information Advantages of the embodiment 8. Modified Examples As other embodiments, [Embodiment 2] (simplification of calculation method of correction component parameters), [Embodiment 3] (omitting ray tracing calculation for spherical component parameters), and [Implementation] Form 4] (simplification of calculation of aspheric component parameters in a double-sided aspheric lens).

[Embodiment 1]
<1. Configuration example of the entire spectacle wearing simulation system>
FIG. 1 is a block diagram illustrating a configuration example of the entire system of the spectacle wearing simulation system.
In the system configuration shown in the figure, a spectacle store 1 which is a simulation ordering side and a simulation center 2 of a spectacle lens manufacturer which is a simulation ordering side are connected via a communication line 3 such as the Internet. Although the figure shows a case where there is only one spectacle store 1, a plurality of spectacle stores 1 are actually connected to the simulation center 2 via the communication line 3.

  The spectacle store 1 is provided with an ordering device 11. The ordering device 11 is a combination of a CPU (Central Processing Unit), a RAM (Random Access Memory), a HDD (Hard Disk Drive), etc., and a computer unit 11a having an arithmetic processing function as a computer, a keyboard, a mouse, a touch panel, etc. And an operation unit 11b for inputting information to the computer unit 11a, and a simulation image display unit 11c (i.e., "simulation image display means") for displaying an image in accordance with an instruction from the computer unit 11a. Part 11c ").). The computer unit 11a is connected to the communication line 3 through a router or the like (not shown), and is configured to exchange data with other devices through the communication line 3.

  Further, in the spectacle store 1, an order-side apparatus 11 is connected to a lens pre-eye arrangement information measuring apparatus 12 (hereinafter, also simply referred to as “an arrangement measuring apparatus 12”). The arrangement measuring device 12 is configured to detect the actual distance from the back surface of the spectacle lens to the cornea when the spectacle lens is worn (for example, the distance d between the vertex and the apex of the cornea that are the intersection of the origin plane and the back surface described later) Hereinafter, this distance d is also referred to as “inter-vertex distance d” or simply “distance d”), “forward tilt angle” or “inward tilt angle” of the spectacle lens when worn, or information on a combination thereof. Thus, the “actual arrangement relationship” (hereinafter also referred to as “lens arrangement information”) is measured. A known device can be used as the arrangement measuring device 12.

  In the simulation center 2, an order receiving device 21 is arranged. The order receiving side device 21 is configured to have a function as a computer, and is connected to the communication line 3 via a router or the like (not shown), whereby another device (for example, an ordering side device) on the communication line 3 is connected. 11) can exchange data.

  In the simulation center 2, data storage means 77 (refer to FIG. 3 described later) is connected to the order receiving side device 21 via a communication line such as a LAN (Local Area Network). The data storage unit 77 also stores and accumulates information that may be necessary for calculating the aspheric component parameter. This information includes, for example, information related to the type and model number of the spectacle lens, and information related to spherical component parameters and correction component parameters already calculated according to the type and model number of the spectacle lens. As will be described later, the order-receiving device 21 may be connected to the data server 4 via a communication line instead of the data storage unit 77.

  In addition to the order-receiving device 21, the simulation center 2 is separately provided with a target lens processing device, a database, a processing device such as a curve generator and a polishing machine, and other terminal computers (all not shown). Also good.

  In addition, a data server 4 configured to be accessible from the ordering side device 11 of the spectacle store 1 is disposed on the communication line 3. The data server 4 stores and accumulates spectacle lens information 64.

  Note that the location of the data server 4 is not particularly limited. That is, if lens information (described later) is stored and stored and can be accessed from the ordering apparatus 11, a database or the like (not shown) in the simulation center 2 functions as the data server 4. It can be considered.

  In this specification, the “user device” refers to a device mainly used by the spectacle store 1 side. Specifically, the “server device” refers to a device and a data server 4 used by the lens manufacturing side or the simulation center 2 side of the network service providing side entrusted by the manufacturer. The user device is installed in the store. A server device is separately provided so as to be connected to the user device.

  In the spectacle wearing simulation system configured as described above, the spectacle store 1 places an order for simulation in the following order.

First, the eyeglass store 1 obtains lens information related to a subject (hereinafter also referred to as “wearer”) who is a person who plans to purchase eyeglass lenses and wears eyeglasses. For example, the prescription value of the lens required by the wearer is obtained by optometry, or the wearer selects the lens type and refractive index. Then, the wearer decides a preferred frame and attaches the frame so as to match the shape of the wearer's face and head (pre-fitting). At this stage, it is important to accurately determine the position of the eye point on the temporary lens of the frame. The eye point is a reference for mounting the lens on the frame. Further, provisional lens arrangement information is measured in a pre-fitting state.
Thereafter, the store clerk operating the operation unit 11b of the ordering apparatus 11 determines the spectacle frame lens shape (lens shape in plan view, etc.) and lens prescription value (hereinafter simply referred to as “prescription value”) desired by the wearer. And data regarding lens arrangement information and the like are input. Then, the computer unit 11 a of the ordering side apparatus 11 transmits input data to the order receiving side apparatus 21 through the communication line 3.

  On the simulation center 2 side, the order receiving side device 21 receives an order from the ordering side device 11. Then, while referring to the database 23 connected to the order receiving side device 21, the correction component parameters necessary for determining the shape of the optical surface of the spectacle lens in the order receiving side device 21, and finally the aspherical component parameters are set. Calculated. Based on this aspheric component parameter, a simulation image reflecting “eye image scaling” is generated.

And this simulation image is transmitted to the spectacles store 1, and the image is finally displayed on the display part 11c. By doing so, the wearer is made to experience a simulated eye image that can be observed when the spectacle lens is worn.
Note that the “simulation image” in the present embodiment mainly assumes an image that can be displayed on the display unit 11c, but expresses the enlargement / reduction of the eye image by projecting a three-dimensional stereoscopic image. It doesn't matter. In addition, as will be described in detail later, in this embodiment, a plurality of sample points and portions where light hits the wearer are prepared, and “starting point information” (coordinates of sample points) is obtained using the results of ray tracing calculation at the plurality of locations. (Y, z) and the coordinates (y ₁ ′, z ₁ ′) of the virtual emission start point are obtained, and the enlargement / reduction of the eye image is simulated using the start point information. By doing so, it becomes possible to accurately reproduce the enlargement / reduction in each part of the eye image, and as a result, the simulation accuracy of the enlargement / reduction of the eye image can be improved.

<2. Example of functional configuration of ordering device>
Next, the functional configuration of the ordering apparatus 11 in the spectacle wearing simulation system will be described.
FIG. 2 is a block diagram illustrating an example of a functional configuration of the ordering apparatus 11 in the spectacle wearing simulation system. As shown in the figure, the computer unit 11a of the ordering apparatus 11 includes a data input receiving unit 51, an information acquiring unit 52, a control unit 53, a data correcting unit 55, a simulation order processing unit 56 (hereinafter simply referred to as “order processing unit”). 56 ”), and is configured to function as the simulation image receiving means 57 and the data storage means 58.

As described above, in the present embodiment, “lens arrangement information” is obtained in advance at the stage of simulating the enlargement / reduction of the eye image with respect to the ordering apparatus 11, and the lens arrangement information is obtained as data input receiving means 51. To enter. Thus, even if there is no detailed data on the spectacle lens optical surface shape, a simulation image is generated by the simulation image generating means without having to be based on the detailed surface shape data of the spectacle lens. The above contents have one feature of the present embodiment.
The “lens arrangement information” is described again, but the forward tilt angle, the internal tilt angle, the inter-vertex distance d, and the like are excited. In summary, calculation of the amount of change from the position where the light is incident on the spectacle lens to the position where the light is emitted from the spectacle lens when viewed on a plane perpendicular to the optical axis direction of the light incident on the spectacle lens. Indicates the underlying information.

  The data input accepting unit 51 accepts lens information input from the operation unit 11 b of the ordering apparatus 11 and information input from the arrangement measuring apparatus 12. In some cases, the spectacle store 1 accesses the data server 4 as necessary, so that information necessary for calculating the aspheric component parameter later is acquired from the data server 4, and the acquired information is sent to the data input receiving means 51. You may enter.

  The lens information input from the operation unit 11b includes lens designation information 61, layout information 62, spectacle frame information 63, and spectacle lens information 64.

  The lens designation information 61 is information necessary for specifying the spectacle lens desired by the wearer. Specifically, the lens designation information 61 includes information for designating the spectacle lens manufacturer name and lens model number, a lens prescription value, and the like. The prescription value is a power value of a spectacle lens that has been treated to suit the visual environment of the wearer. Specifically, the spherical power, cylindrical (astigmatism) power, cylindrical (astigmatism) axial power, and prism power of the left and right eyes. It is a degree of addition. The lens designation information 61 only needs to be able to identify the lens, and may be configured to include items other than those listed here.

  The layout information 62 is information for adjusting the optical center of the lens to the position of the wearer's pupil, and indicates the position of the fitting point (eye point) with reference to the geometric center (frame center) of the spectacle frame. . Specifically, it is composed of items such as PD (distance between pupils for distance), NPD (distance between pupils for near distance), SEG (segment ball position), EP (eye point), and FPD (distance between geometric centers). .

  The eyeglass frame information 63 includes mounting hole data (hole position, hole diameter, hole depth, etc.) in the two-point frame, groove data (groove width, groove depth, fixed location data, etc.) in the nyroll frame, and non-deformable in the nyroll frame. A region (or a deformable region) or the like is included. Of course, data necessary for a frame with a frame is also included.

  In the present embodiment, in addition to the lens information being input from the operation unit 11b, lens arrangement information is also input. As described above, a known device may be used as the arrangement measuring device 12. On the other hand, the lens arrangement information may not be input from the arrangement measuring device 12. In other words, if the wearer can use the previously obtained lens arrangement information, such as when the previous measurement and the current measurement are the same, the storage device provided in the ordering apparatus 11 or the data server existing on the communication line 3 4 or the like, the data input accepting means 51 may obtain the lens arrangement information via the information obtaining means 52. The lens arrangement information may be used as it is, or the value of the lens arrangement information may be corrected in some form.

The information acquisition means 52 accesses the data server 4 through the communication line 3 and acquires the spectacle lens information 64 from the data server 4.
The spectacle lens information 64 is information other than information necessary for specifying the spectacle lens desired by the wearer, and indicates other information necessary for the simulation.

  The control means 53 serves as a relay point for transmission data in the ordering apparatus. More specifically, it has a function of transmitting information received by the data input receiving means 51 to the order processing means 56. Furthermore, after the simulation image receiving means 57 receives the simulation image regarding the enlargement / reduction of the eye image generated by the simulation center 2, it plays a role of transmitting the simulation image to the display unit 11c. Further, when the enlargement / reduction of the eye image is outside the allowable range of the wearer, the data corrected by the data correction means 55 is also transmitted to the order processing means 56 again.

  The data correction means 55 appropriately corrects the data regarding the lens information when the enlargement / reduction of the eye image is outside the allowable range of the wearer. When the data correction unit 55 receives a data change, the lens information specified by the changed data content is acquired from the information acquisition unit 52. Then, the acquired information is input to the data input receiving means 51, and the information is again transmitted to the simulation center 2 by the order processing means 56 via the control means 53.

  When the order content of the simulation is confirmed, the order processing means 56 confirms the order content, that is, “lens information (lens designation information 61, layout information 62, spectacle frame information 63, spectacle lens information 64, etc.)” after confirmation and By transmitting “lens arrangement information” to the order receiving side device 21 through the communication line 3, the simulation is ordered. It should be noted that when the spectacle lens simulation is ordered (hereinafter, also simply referred to as “ordering”), if there is a change in the data contents by the data correction means 55, the order is placed in a state in which the deformation or change is reflected. The processing means 56 places an order with the order receiving side device 21.

  The simulation image receiving unit 57 receives a simulation image generated by the simulation center 2 as will be described in detail later. And a simulation image is transmitted to the display part 11c via the control means 53. FIG.

  The data storage means 58 stores the order contents by the order processing means 56 as ordered data 65 by associating identification data such as the ordering wearer, the ordering process, and the ordered eyeglass lens as necessary. To do. The ordered data 65 stored and held includes data on lens information and lens arrangement information.

<3. Example of functional configuration of order-receiving device>
Next, the functional configuration of the order-receiving device 21 in the spectacle wearing simulation system will be described.
FIG. 3 is a block diagram illustrating a functional configuration example of the ordering apparatus 11 in the spectacle wearing simulation system. As shown in the figure, the computer unit 11a of the order-receiving device 21 includes a simulation order processing means 71, a spherical component parameter calculation means 72, a correction component parameter calculation means 73, an aspherical component parameter calculation means 74, and a simulation image generation means 75. And the simulation image transmitting means 76.

  The simulation order processing means 71 (hereinafter also referred to simply as “order receiving processing means 71”), when the order contents of the simulation are confirmed, the order contents, that is, “lens information (lens designation information 61, layout information 62) after confirmation. , Spectacle frame information 63, spectacle lens information 64, etc.) ”and“ lens arrangement information ”are received by the order receiving side device 21 through the communication line 3 to receive an order for the simulation.

A) Simulation Mechanism First, the simulation mechanism of this embodiment will be described in detail. Thereafter, each means for embodying the simulation will be described.
First, the present embodiment has one feature in that data on “lens arrangement information” transmitted from the ordering apparatus 11 is used for calculation of correction component parameters. It is relatively easy for the wearer to obtain the spherical component parameter of the spectacle lens to be simulated. Even if there is no detailed surface shape data of the optical surface of a lens having a complicated shape such as an aspheric lens, if there is a correction component parameter, the simulation image generating means can be used without using the surface shape data of the spectacle lens. Thus, a simulation image can be generated. In order to calculate the correction component parameter, lens arrangement information is used in the present embodiment.

In the present embodiment, the spherical component parameter is calculated by the spherical component parameter calculating unit 72 based on the information received by the order receiving processing unit 71 (particularly lens arrangement information), and the correction component parameter is input to the correction component parameter calculating unit 73. There is one feature in the calculation. Based on the spherical component parameter and the correction component parameter, the aspheric component parameter is calculated by the aspheric component parameter calculation means 74. Based on the aspheric component parameters, the simulation image generation means 75 generates a simulation image for scaling the eye image. This makes it possible to perform at least a detailed simulation of the eye image scaling as if using detailed data on the optical surface shape of the spectacle lens that is the object of simulation of the scaling of the eye image of the wearer. Is possible.
Hereinafter, how a simulation image for scaling of an eye image is generated from the spherical component parameter and the correction component parameter will be described in detail with reference to FIGS.

FIG. 5 is a schematic diagram for explaining the spherical component parameter and the correction component parameter in the present embodiment. In particular, the correction component parameter (“starting point information correction” is described using the light trajectory when the light passes through the spectacle lens. It is a figure for demonstrating "value" and "gradient information correction value"). The optical axis direction of the spectacle lens is the X axis, the vertical direction is the Y axis, the vertical direction is the Y axis, the horizontal direction is the Z axis, and the horizontal direction is the Z axis. Note that the X axis in the present embodiment is in the horizontal direction and passes through the center of the pupil. FIG. 5A is an XY plan view (cross-sectional view of the spectacle lens), and FIG. 5B is a YZ plan view (plan view of the spectacle lens). FIG. 5A shows a spectacle lens (refractive index n, thickness t at the geometric center) using spherical lenses having aspherical shapes on the front and back surfaces. However, for convenience of explanation, the notation on the drawing is a shape close to a spherical shape. In this case, the curvature at each spherical shape portion is r ₁ and r ₂ .
FIG. 6 is a schematic diagram for explaining the spherical component parameters and the correction component parameters in the present embodiment, and in particular, when the spectacle lens is arranged tilted forward (a) or inward (b). It is a figure for demonstrating. (A) is an XY plan view (cross-sectional view of the spectacle lens), and (b) is an XZ plan view (cross-sectional view of the spectacle lens).

  In FIG. 5A, considering light incident on the spectacle lens (light that is in the X-axis direction and also in the lens thickness direction), the light incident from the point A on the surface of the spectacle lens is refracted in the spectacle lens. Then proceed. Thereafter, the light is emitted from the point H on the back surface of the spectacle lens to the outside of the spectacle lens. Thereafter, light contacts point C on the wearer's face.

  In the case of an aspheric lens as in the present embodiment, originally, if there is detailed optical surface shape data, the trajectory of light in each part of the spectacle lens can be obtained by the ray tracing method or the like. However, as described in the subject of the present invention, it is necessary to determine various optical surface shapes according to the prescription of the wearer. Nevertheless, due to the time-consuming ray tracing of aspheric surfaces and the need to protect the technical information of aspherical design, the information on scaling of eye images with spectacle lenses is purely a ray tracing method. Was not calculated. In other words, no consideration has been given to a simulation of eye image scaling when a wearer wears a spectacle lens that is an aspheric lens. Specific means that the present inventors have conceived in order to solve the problem are as follows.

First, the enlargement / reduction of the eye image is performed after the distance ρ ₁ between the point A where the light enters the spectacle lens and a reference position (for example, the X axis, the same applies hereinafter) and after the light is emitted from the spectacle lens. If the distance ρ ₂ between the portion corresponding to the person and the reference position is found, it can be obtained. In order to obtain ρ ₂ , how much light is refracted in the spectacle lens, that is, the actual emission start point H of light from the back surface (in some cases, a point B that is a virtual emission start point (detailed later) )) Has changed from the actual incident origin A of the light from the surface of the spectacle lens ("starting point information"), and in which direction the light exits from the back surface of the spectacle lens ("Gradient information") needs to be obtained.

The “starting point information” includes, for example, the coordinates of the actual incident starting point A, the coordinates of the actual outgoing starting point H, the virtual outgoing starting point B, and the like. In summary, calculation of the amount of change from the position where the light is incident on the spectacle lens to the position where the light is emitted from the spectacle lens when viewed on a plane perpendicular to the optical axis direction of the light incident on the spectacle lens. Indicates the underlying information.
“Gradient information” indicates the inclination of the light beam when the light exits the spectacle lens when viewed from the optical axis direction of the light incident on the spectacle lens.

The eye image is scaled by a distance ρ ₁ between the position A where the light is incident on the surface and the X axis which is the reference position when viewed on a plane perpendicular to the optical axis direction of the light incident on the spectacle lens. , Which is determined by the ratio (for example, ρ ₂ / ρ ₁ ) between the distance C ₂ between the point C where the light is incident and hits the wearer and the reference position. If [rho ₁ is a value that is not related to the shape of the spectacle lens, scaling the image of the final eye it will be due to [rho _2. The value of ρ ₂ indicates how much light is refracted in the spectacle lens, that is, how much the light emission starting point H from the back surface has changed from the point A (“starting point information”), light from the back surface of the spectacle lens. Light on the face of the wearer based on information on which direction the head goes when it exits ("gradient information") and how far away the back is from the wearer ("lens placement information") Can be theoretically calculated by examining how much the point C that touches has moved from the point H.

That is, the “starting point information” is ρ ₁ necessary for obtaining ρ ₂ in FIG. 5A, or the distance ρ ₁ ′ between the virtual point B where the light is emitted from the spectacle lens and the reference position. Exists to obtain). Specific examples of the starting point information include the coordinates of point A, point B, and point H.
The “gradient information” is combined with “lens arrangement information (for example, distance d)” to obtain the amount of light displacement from ρ ₁ ′ (the amount of displacement in the Y-axis direction in FIG. 5A). present to obtain a final [rho _2. A specific example of this gradient information is, for example, the light inclination k (angle α) when viewed from the X-axis.

  As described above, one of the features of the present embodiment is that the starting point information is used for generating a simulation image. Furthermore, the present inventors have found that the above “starting point information” and “gradient information” are caused by at least two parameters, “spherical component parameter” and “correction component parameter”.

If the spectacle lens is a spherical lens, “starting point information” and “gradient information” should be determined only according to the “spherical component parameter”. However, as already described in the above problem, when the spectacle lens is not completely a spherical lens, the “starting point information” and the “gradient information” do not follow only the “spherical component parameter”. More specifically, the coordinates of the point B and the point H when the spectacle lens is not completely a spherical lens are shifted from the coordinates of the point B and the point H when the spectacle lens is completely a spherical lens. As a result, deviation occurs even the position of the point C, the deviation also [rho ₂ occurs. That is, the present inventors have obtained the knowledge that there is some parameter for correcting the “spherical component parameter” (ie, “correction component parameter”). More specifically, the present inventors combined “starting point information correction value” according to the correction component parameter with “starting point information” according to the spherical component parameter (for example, adding both), and “corrected starting point information”. I came up with a method to calculate. Similarly, by combining “gradient information correction value” according to the correction component parameter with “gradient information” according to the spherical component parameter, the final “corrected gradient information” that is the basis of the scaling of the eye image is calculated. I came up with a technique to do. As a result, according to “starting point information after correction”, “gradient information after correction”, and “actual arrangement relationship (that is, lens arrangement information, for example, distance d)”, a final image that is the basis of enlargement / reduction of an eye image is obtained. It has been found that ρ ₂ can be calculated with sufficient accuracy to accurately simulate the enlargement / reduction of the eye image without detailed data on the aspherical shape.
That is, the “aspheric surface component parameter” includes “corrected starting point information” and “corrected gradient information”.

The “spherical component parameter” includes “starting point information” and “gradient information”. These starting point information and gradient information are caused by spherical elements in the spectacle lens. The “spherical element” refers to an element formed by a lens having a predetermined spherical power and astigmatic power made of a spherical or toric surface. As an example, there are a spherical shape, a spherical power, an astigmatic power, and the like. In addition to these, it is preferable to generate a simulation image based on the prism power. In this way, in the simulation image generation means, in addition to the expansion and contraction of the eye image that occurs when the wearer wears the spectacle lens, the movement of the eye image within the spectacle frame can be reflected, and the eye image can be reflected. This is because it becomes possible for the wearer to experience the simulated experience of scaling even more realistically.
On the other hand, the “correction component parameter” includes a “starting point information correction value” and a “gradient information correction value”. The starting point information correction value and the gradient information correction value are caused by an aspheric element in the spectacle lens. The “aspherical element” refers to an element other than the above “spherical element”. Further, it refers to an element that is a basis of a correction value applied to the spherical shape by adopting the aspherical shape. In other words, it refers to an element by a spherical lens that realizes the spherical power and the astigmatic power of the aspheric lens (an element for realizing the spherical power and the astigmatic power in the aspheric lens). As an example, there are an aspherical shape (that is, a shape change (deviation) from the spherical shape), an addition power distribution, and the like.
For this reason, the “aspheric component parameter” does not require detailed data on the final aspheric shape for an aspheric spectacle lens to be simulated, and allows precise simulation of eye image scaling. The final parameters are shown. Of course, the aspherical component parameter may not be a finally obtained parameter, and the aspherical component parameter may be finely adjusted during the simulation. Needless to say, the aspheric component parameter in the present embodiment is based on the starting point information and the gradient information.

  Then, the aspherical component parameter calculation means 74 calculates the corrected starting point information and the corrected gradient information as the aspherical component parameters based on the starting point information and the gradient information, and the starting point information correction value and the gradient information correction value. .

  Although the effect of this embodiment will be described later, as one effect, the spectacle store 1 transmits information such as the spherical power, astigmatism power, addition power, and lens arrangement information of the spectacle lens to the simulation center 2 to place an order for the simulation. The simulation center 2 only needs to calculate the correction component parameter based on the information. The spherical component parameters resulting from the spherical lens (ie, “starting point information” and “gradient information”) can be obtained relatively easily by known techniques if the curve values of the spectacle lens are known. As a result, it is not necessary to actually manufacture the spectacle lens that is being simulated by the wearer, and it is possible to simulate the scaling of the eye image without using detailed shape data of the optical surface of the detailed spectacle lens. It is possible to carry out the precise processing.

  Hereinafter, from the “spherical component parameter” (“starting point information” and “gradient information”) and the “correction component parameter” (“starting point information correction value” and “gradient information correction value”), the “aspherical component parameter” (“ A specific method for calculating “starting point information after correction” and “gradient information after correction”) will be described. At this time, for convenience of explanation, a case where “starting point information” is “starting point coordinates” will be described. If necessary, this starting point information may be multiplied by a coefficient, or another process may be performed.

  Note that the point C is at least a part of a portion constituting the shape of the eye of the wearer when the spectacle lens is worn because of the simulation of scaling of the eye image. Further, the “portion constituting the shape of the wearer's eye” may include the eyeball itself, or may include the periphery of the eyeball (for example, the eyelid or the corner of the eye). After all, it is only necessary that the part that forms the shape of the eye when the observer sees the wearer wearing the spectacle lens.

5A, when the point C exists near the boundary between the eyeball and the eyelid, the light emission point H from the back surface of the spectacle lens is beyond the imagination from the point C in the X-axis direction. If aways in, there is a possibility that an error occurs in comparison to the actual [rho _2. Also, if point C light hits was close to the rear surface of the spectacle lens in the eyelid it is thick actually wearer also, there is a possibility that an error occurs in comparison to the actual [rho _2. However, the present invention only needs to be able to simulate scaling of the eye image. In other words, remarkably accurate data such as prescription of spectacle lenses is unnecessary, and when the observer sees the wearer, the appearance does not feel strange and the wearer does not feel uncomfortable. It only needs to be able to simulate precisely. Therefore, the above-described error does not hinder the effect of the present embodiment (that is, performing a precise simulation when wearing a spectacle lens employing an aspheric lens). Rather, this embodiment also has a useful feature in that the error can be tolerated.

Originally, it is preferable to obtain accurate ρ ₁ and ρ ₂ after calculating accurate starting point coordinates. On the other hand, according to the following method, the effect of the present embodiment can be obtained without calculating the correct starting point coordinates. This method will be described with reference to FIG.

  In the present embodiment, instead of obtaining the actual distance between the point C and the point H in the X-axis direction by measurement at each point on the back surface of the spectacle lens, the virtual emission start point B and the face are detected by the following method. The distance d in the X-axis direction from the point C is calculated.

As the method, first, an “incident position plane” that is a tangential plane (YZ plane) in contact with the geometric center of the surface of the spectacle lens is assumed. At the same time, a “starting plane” that is a tangential plane (YZ plane) in contact with the geometric center of the back surface of the spectacle lens is assumed. This “origin plane” is separated from the “incident position plane” by the thickness a of the spectacle lens. The intersection point between the light incident on the spectacle lens and the surface of the spectacle lens is first defined as point A. Thereafter, this light is emitted from the point H on the back surface of the spectacle lens, and the light hits a point C that is a part of the face of the wearer. At this time, an intersection of an extension line of a straight line connecting the point H and the point C and the starting point plane is defined as a point B. At this time, the distance d uses the distance between the origin plane and the apex of the wearer's eyeball. That is, when the spectacle lens is worn, the part constituting the shape of the eye of the wearer is assumed to exist on a plane parallel to the origin plane, including the apex of the wearer's eyeball, It simulates the scaling of the eye image. Then, instead of the point H where the light actually exits from the back surface of the spectacle lens, based on the coordinates of the point B as a substitute for the point H, when the light exits from the spectacle lens, it is between the virtual point B and the reference position. The distance ρ ₁ ′ (that is, one of the starting point information) is calculated. In place of the point A where light actually enters from the surface of the spectacle lens, a contact point between the incident position plane and the light may be used as a virtual incident start point instead of the point A.

Hereinafter, the calculation method of the aspheric component parameter will be described in detail using mathematical expressions.
From the conclusion, the distance between the reference position and the portion of the light incident on the wearer when viewed on a plane perpendicular to the optical axis direction of the light incident on the spectacle lens by the simulation image generating means will be described. ρ ₂ is obtained by an expression listed below, and a simulation image reflecting the enlargement / reduction of the eye image is generated based on ρ ₂ .

When the eye image is enlarged or reduced, the point A (y, z) where the light is incident on the surface when viewed in a plane perpendicular to the optical axis direction of the light incident on the spectacle lens, and the wearer's arrival of the light beam. It is determined by the positional relationship of the point C (y ₂ , z ₂ ) on the face. What is reflected at the position of the point A as seen by the observer is the position of the point C on the wearer's face. The magnification of the eye at this position can be considered to be the ratio of the distance from the optical axis (reference position), that is, ρ ₂ / ρ ₁ . In general, since the magnification of the eye is different at different locations on the lens, strictly speaking, it can be said that the magnification of the eye due to the spectacle lens is determined by the distribution of the “coordinate” of the light beam arrival position C on the face with respect to the incident position. When this distribution is expressed by a mathematical formula, the following formula (a) is obtained.
More specifically, the following equation (b) is obtained.
Y ₁ ′, z ₁ ′ in formula (b) (ie, coordinates y ₁ ′ (y, z), z ₁ ′ (y, z), hereinafter, the same description may be given when the coordinates are shown). Is a coordinate value of the outgoing ray origin B, and is also origin information of the outgoing ray. k _y and k _z is the slope information after the sample points of the surface of the spectacle lens (y, z) the light incident from inside the spectacle lens is emitted from the rear surface to the outside of the spectacle lens, k _y is the output light beam The gradient information in the y direction, k _z is the gradient information in the z direction. d is the distance from the point C to the origin plane, but can be considered as the distance between the corneal apex and the lens back reference point (ie, the inter-vertex distance d) when not considering the unevenness of the face.

As described above, the enlargement / reduction of the eye image by the spectacle lens is performed by starting point information y ₁ ′ (y, z), z ₁ ′ (y, z) and gradient information k _y (y, z), k _z (y, z). And the anterior positioning information of the lens including the inter-vertex distance d from the lens back surface reference point to the corneal apex. In addition to the inter-vertex distance d, the lens frontal arrangement information includes a forward tilt angle and an internal tilt angle. These will be described later.

  If the spherical lens is aspherical for aberration correction or the like, correction is also applied to the origin information and gradient information, which are the enlargement / reduction parameters of the eye image. In other words, the image scaling parameters can be divided into spherical component parameters that are invariable and can be calculated simply and at high speed by a method such as ray tracing, and correction component parameters that have changed due to asphericalization.

First, a case where “spherical component parameter” and “correction component parameter” are separated from “starting point information” will be described.
The above (y ₁ ′, z ₁ ′) was calculated for a spherical lens constituted by adopting a spherical surface or a toric surface of the representative curvature of the front and back surfaces while keeping the central thickness and prism of the spectacle lens as they are. Spherical component parameter starting point information (y _1s ′, z _1s ′) and correction component parameter starting point information correction values (Δy ₁ ′, Δz ₁ ′) resulting from adopting an aspherical surface are divided into the following equations: Obtained separately as shown in (c).

Similarly, k _y and k _z are spherical components calculated with respect to a spherical lens constituted by adopting a spherical surface or a toric surface of the representative curvature of the front and back surfaces while keeping the central thickness and prism of the spectacle lens as they are. The parameter gradient information k _{y s} , k _{z s} and the correction component parameter gradient information correction values Δk _y , Δk _z caused by adopting the aspherical surface are divided into the following equation (d): , Ask separately.

Once summarized, the spherical component parameters y _1s ′ (y, z), z _1s ′ (y, z), k _ys (y, z), k _zs (y, z) are the _front and back surfaces of the aspheric spectacle lens. The starting point information and the gradient information calculated for a spherical lens configured to realize the central thickness and the prism as they are, using a spherical surface or a toric surface of the representative curvature. The correction component parameters Δy ₁₁ ′ (y, z), Δz ₁ ′ (y, z), Δk _y (y, z), and Δk _z (y, z) are correction amounts of the starting point information and the gradient information by the asphericalization. It is.

The above Δy ₁ ′, Δz ₁ ′, Δk _y and Δk _z are obtained by setting a sample point (y, z) on the optical surface of the spectacle lens and using the following spline interpolation function (e).
For example, a two-dimensional B-spline relating to (y, z) may be created to derive the above formula.
Note that f represents Δy ₁ ′, Δz ₁ ′ and Δk _y , Δk _z (that is, any one of the correction component parameters), and Bi (y) and Bj (z) represent the y-axis direction and the z-axis direction. In the B-spline basis function, Cij is a coefficient, and the values of all the sample points are determined so that the actual calculation value and the interpolation value are equal. If the coefficient matrix Cij and the sample point sequence are recorded, the starting point information correction value and the gradient information correction value at the arbitrary point (y, z) on the lens can be recalculated.

Note that Δy ₁ ′ and Δz ₁ ′ are expressed by the following equation (f).
On the other hand, .DELTA.k _y and .DELTA.k _z are expressed by the following equation (g).
At this time, k _ys is gradient information in the Y-axis direction by a spherical lens having a representative curvature spherical surface or toric surface, and k _zs is gradient information in the Z-axis direction.
Further, k _y is gradient information in the aspherical Y-axis direction, and k _z is gradient information in the Z-axis direction.

  Hereinafter, the “correction component parameter” of the convex aspherical surface or the progressive surface (semi-lens) will be described in detail together with a specific calculation method thereof.

First, the curvature of the back surface is determined so that the prescription frequency of the lens assumed when designing the convex surface is set, and the lens is configured to have a convex surface and a predetermined thickness or prism. Starting point information y ₁ ′ (y, z), z ₁ ′ (y, z) and gradient information k _y (y, z), k _z (where the forward tilt angle and the internal tilt angle are both 0 for this lens. An aspheric component parameter constituted by y, z) is obtained by tracking the skew ray. Next, this aspherical (or progressive surface) convex surface is replaced with a spherical surface having a representative curvature to form a spherical lens. The spherical component parameter starting point information y _1s ′ (y, z), z _1s ′ (y, z) and gradient information k _ys (y, z), k _zs (y, z) are skewed with respect to this spherical lens. Seek through tracking.

The starting point information correction values Δy ₁ ′ (y, z) and Δz ₁ ′ (y, z) and the gradient information correction values Δk _y (y, z) and Δk _z (y, z) of the correction component parameters are aspherical component parameters. This is calculated by subtracting the spherical component parameter from.

The starting point information correction value can be obtained by the following formula (h) by changing the formula (c) into the form of the formula (f).

The gradient information correction value can be obtained by the following formula (i) by changing the formula (d) into the form of the formula (g).

Thus, although the starting point information correction value and the gradient information correction value of the correction component parameter can be calculated for the arbitrary incident position (y, z), the values at all points cannot be stored. Therefore, the origin information correction value and the gradient information correction value are calculated and stored only for a finite number of sample points, and for other points, interpolation is performed using values at nearby sample points. Use the spline interpolation method to calculate.
For example, a rectangular spline is obtained by using rectangular mesh intersections of y = −35, −30, −25,..., 30, 35 mm, z = −35, −30, −25,. It can be summarized in the form of the above-described equation (e) (that is, a spline interpolation function).

  In this embodiment, there is a reason that the starting point information and the gradient information are decomposed in the Y-axis direction and the Z-axis direction. As already mentioned, the object of the present invention is to precisely simulate the scaling of the eye image. In many spectacle lenses, an astigmatism prescription or a progressive power function is added, and many are not rotationally symmetric with respect to the optical axis. Even if the front surface and the back surface are spherical lenses, they cannot be regarded mathematically as axially symmetric when there is eccentricity or inclination. Therefore, the incident light beam and the outgoing light beam are not necessarily in the same plane. When simulating the enlargement / reduction of the image of the eye, an error that allows the wearer and the person observing the wearer to feel uncomfortable can be tolerated. Therefore, in consideration of “amount of calculation that can be simplified” and “a certain degree of accuracy of simulation results”, as described above, the aspheric component parameters are decomposed in the Y-axis direction and the Z-axis direction (in other words, The spherical component parameter and the correction component parameter may be obtained without considering the aspherical component parameter in the X-axis direction).

  Note that, as described above, the method of adopting the sample points may be a method of configuring a two-dimensional rectangular range spline by setting an intersection (for example, (y, z)) on a vertical and horizontal orthogonal grid. On the other hand, a two-dimensional spline in the polar coordinates (for example, (ρ, θ)) in the circular range may be configured by setting the intersection of the circular ring and the radiation centered on the optical axis. The correction component parameter is calculated in the circular area that can efficiently cover the meaningful range, and the aspherical component parameter is calculated. Finally, the simulation of the enlargement / reduction of the eye image is performed in the optically meaningful range. It becomes possible to execute.

Specifically, as shown in FIG. 5B, sample points on the polar coordinates (ρ, θ) may be placed to construct a polar coordinate-based two-dimensional B-spline.
For example, when the polar coordinate spline is obtained by using the radiation concentric mesh intersection of ρ = 0, 5, 10,..., 30, 35 mm, θ = 0, 5, 10, 15,. It can be summarized as in equation (j).

  Here, f is any one of the correction component parameters related to ρ and θ. Bi (ρ) and Bj (θ) are B-spline basis functions in the radial direction and the azimuth direction, Cij is a coefficient, and the values of all sample points are determined so that the actual calculated values and the interpolation values are equal. Yes. If the coefficient matrix Cij and the sample point sequence are recorded, the starting point information correction value and the gradient information correction value at an arbitrary point (ρ, θ) on the lens can be recalculated.

  These data (two-dimensional B-spline coordinate axis sequence, coefficient) may be stored in the data storage means 58, 77 or the like. Then, when calculating the enlargement / reduction of an eye image with respect to an aspherical (or progressive) lens having an arbitrary power using this convex surface, it can be used to calculate a starting point information correction value and a gradient information correction value.

  In addition, a two-dimensional B-spline node sequence and coefficient matrix for calculating correction component parameters may be calculated in advance and stored as data for all semi-lens surfaces. By doing so, it is possible to accurately calculate the enlargement / reduction of the eye image with respect to the aspherical (progressive) lens in the entire power range without using the surface shape design data.

Although the above description has been made with respect to the case where the light origin coordinate is the center, other lens arrangement information such as the forward tilt angle and the inner tilt angle may of course be used for the simulation of the enlargement / reduction of the eye image.
Hereinafter, the case where the forward tilt angle and the internal tilt angle are taken into consideration in the simulation will be described.

  Depending on the shape of the spectacle frame and the fitting situation, the spectacle lens may be tilted forward (FIG. 6A), or may be tilted inward (FIG. 6B). .

In the case of forward tilt, the coordinates (local coordinates) of the point A on the convex surface of the spectacle lens through which the horizontal ray at the position (y, z) of the incident light passes are not (y, z) but (y _s , z _s ) ( When expressed as a distance from the reference position to the point A, it is represented as ρ _s ). In this case, the spherical component parameter is obtained by tracing the skew ray in a state where the spherical lens having the nominal curve value of this lens is arranged in the same forward tilt (forward tilt angle θ _y ) state. The correction component parameter is obtained using the two-dimensional B-spline node sequence coordinate value and the coefficient matrix for obtaining the correction component parameter of the aspherical surface (or progressive surface) stored in advance as described above. However, at that time, it is necessary to calculate the correction component parameter not in the incident light beam position (y, z) but in the local coordinates (y _s , z _s ). As the local coordinates (y _s , z _s ), the local coordinates (FIG. 6A) of the point A on the convex surface of the light beam on the spherical lens obtained when calculating the spherical component parameter can be used. .

In addition, in the case of inward tilting, as in the case of forward tilting, the spherical component parameter is set to the skew ray tracing in a state where the spherical lens having the nominal curve value of this lens is arranged in the same inward tilting (inclination angle θ _z ) state. Ask for. The correction component parameter is obtained using the two-dimensional B-spline node sequence coordinate value and the coefficient matrix for obtaining the correction component parameter of the aspherical surface (or progressive surface) stored in advance as described above. However, at that time, it is necessary to calculate the correction component parameter not in the incident light beam position (y, z) but in the local coordinates (y _s , z _s ). As the local coordinates (y _s , z _s ), the local coordinates (FIG. 6B) of the convex surface intersection A of the light beam on the spherical lens obtained when calculating the spherical component parameters can be used.

  Of course, it is possible to obtain the corrected starting point information and the corrected gradient information by taking both the above-mentioned forward inclination angle and internal inclination angle into consideration, by applying the above method.

  Note that the point C is at least a part of a portion constituting the shape of the eye of the wearer when the spectacle lens is worn because of the simulation of scaling of the eye image. Further, the “portion constituting the shape of the wearer's eye” may include the eyeball itself, or may include the periphery of the eyeball (for example, the eyelid or the corner of the eye). After all, it is only necessary that the part that forms the shape of the eye when the observer sees the wearer wearing the spectacle lens.

Examples of the method for obtaining the starting point information correction value (for example, how the starting point coordinates move) and the gradient information correction value at the sample points as described above by the ray tracing method include the following.
First, a spectacle lens having an aspherical component is selected. If the simulation center 2 has information on the spectacle lens having an aspherical shape, the simulation center 2 may use the information. If the information about the spectacle lens is not included, a spectacle lens having an aspherical component is designed and converted into data.
In addition, after reflecting the spherical power (ie, representative spherical power), astigmatic power, and prism power that are the base of the spectacle lens having the aspheric component, the nominal curvature of the lens having the aspheric component is reflected. A single focus lens composed of a spherical surface and a toric surface is prepared.
Then, the coordinates and gradient information of the starting point of the outgoing ray by the horizontal incident ray (light in the optical axis direction) that has passed through the specified sample point are calculated by skew ray tracing for each lens (aspherical lens and spherical lens). To do. Then, the aspherical component parameter is calculated by combining the difference between the two (that is, the starting point information correction value and the gradient information correction value) and the starting point information and the gradient information.

In the above case, the case where the simulation center 2 has information on the spectacle lens having an aspherical shape has been described. That is, the following cases. The spectacle store 1 transmits lens information and the like to the simulation center 2 to select the aspherical shape data that the simulation center 2 already has (that is, information that is the basis of the aspherical component parameter). Then, in accordance with the information transmitted from the spectacle store 1, the spherical component parameter is calculated by the spherical component parameter calculating means 72. In some cases, since the spherical component parameter already exists, in that case, it is extracted from the data storage unit 77 or the like. Then, in addition to the “spherical component parameter”, the difference between the “aspherical component parameter” and the “spherical component parameter” (that is, the “correction component parameter”) is obtained by the correction component parameter calculation means 73. Then, the “spherical component parameter” and the “correction component parameter” are set and transmitted to the aspherical component parameter calculating means 74. Thereafter, the “aspherical component parameter” is transmitted to the simulation image generating means 75. That is, the simulation center 2 transmits the “spherical component parameter” and the “correction component parameter” (only the correction component parameter if the spectacle store 1 has the spherical component parameter) to the aspherical component parameter calculation means 74. I will do it.
On the other hand, even if the simulation center 2 does not have information on spectacle lenses having an aspherical shape, the ray tracing calculation is performed every time assuming the shape of the spectacle lens to be simulated for the wearer. The correction component parameter may be calculated, and the spherical component parameter in the shape of the spectacle lens may be acquired to calculate the aspherical shape parameter. By doing so, it is possible to calculate the aspheric component parameter even when the simulation center 2 does not have information on the spectacle lens having an aspheric shape. Further, if a known correction component parameter can be used, such as the same wearer, an aspheric component parameter can be calculated.

Based on the above mechanism, in the present embodiment, the spherical component parameter is calculated based on the information received by the order receiving processing unit 71 (“lens arrangement information”) and “starting point information” and “gradient information”. The correction component parameter is calculated by the correction component parameter calculation unit 73 while being calculated by the unit 72. Based on the spherical component parameter and the correction component parameter, the aspheric component parameter is calculated by the aspheric component parameter calculation means 74. Based on the aspheric component parameters, the simulation image generation means 75 generates a simulation image for scaling the eye image.
Hereinafter, each means will be described.

B) Respective means for embodying the simulation As described above, the spherical component parameter calculating means 72 calculates the spherical component parameter in the spectacle lens for which the wearer simulates the enlargement / reduction of the eye image. It is.

  As described above, the correction component parameter calculation means 73 also includes parameters that serve as a basis for scaling the eye image that can be observed when the wearer wears a spectacle lens in which at least one of the optical surfaces is aspherical. A correction component parameter that causes correction by an aspherical component to a spherical component parameter based on a spherical component is calculated.

  As described above, the aspheric component parameter calculation means 74 also calculates the aspheric component parameter based on the spherical component parameter and the correction component parameter.

  The simulation image generation means 75 generates a simulation image reflecting the enlargement / reduction of the eye image that can be observed when the wearer wears the spectacle lens based on the aspheric component parameter by the above-described mechanism. . It should be noted that a known technique may be used as a technique itself for generating a simulation image for scaling of an eye image.

  The simulation image transmitting unit 76 transmits the simulation image generated by the simulation image generating unit 75 to the simulation image receiving unit 57 of the spectacle store 1.

  The information calculated by the spherical component parameter calculating means 72, the correction component parameter calculating means 73 and the aspherical component parameter calculating means 74, and the simulation image created by the simulation image generating means 75 are stored in the data server 4 (in some cases data storage). Means 77. The same applies hereinafter). By doing so, when the same wearer performs the simulation again, if there is no change in the spherical component parameter, the wearer's data is extracted from the data server 4 and input to the aspherical component parameter calculation means 74. Thus, the aspheric component parameter may be calculated.

  On the other hand, when there is no change in the correction component parameter, the aspheric component parameter may be calculated by taking out the data of the wearer from the data server 4 and inputting it to the aspheric component parameter calculation means 74.

That is, by adopting the above-described configuration, it is not necessary to perform ray tracing calculation for each simulation of enlargement / reduction of the image of the wearer's eye. More specifically, the addition power distribution that is one of the bases of the correction component parameters is extracted, converted into data, and stored in the data server 4 (in some cases, the data storage unit 77). preferable.
Further, other data may be appropriately transmitted from the data server 4 to the aspheric component parameter calculation unit 74 and the simulation image generation unit 75.

  In view of the fact that the correction component parameter originates from the addition power distribution, it is preferable that at least the correction component parameter is obtained using the ray tracing method. However, this is not the case when there is known data such as the wearer being the same as before.

<4. Simulation procedure>
Next, a simulation procedure in the spectacle wearing simulation system having the above-described configuration will be described. A process that is not particularly described is a process that may use a known system.

  FIG. 4 is a flowchart showing an outline of the simulation procedure in the spectacle wearing simulation system.

  When ordering a simulation of enlargement / reduction of an image of a wearer's eye from the spectacle store 1 to the simulation center 2, the ordering apparatus 11 in the spectacle store 1 first includes various items including lens designation information 61 and layout information 62. Information is input (step 101; hereinafter, step is abbreviated as “S”). When these various types of information are input, the computer unit 11a receives the various types of information input by the data input receiving means 51, and at least the lens designation information 61 and the layout information 62 using a storage device such as a RAM or HDD. Hold temporarily.

  Further, in the spectacle store 1, when a store clerk operates the arrangement measuring device 12 in advance to wear the spectacle lens, at least a part of the shape of the eye of the wearer and the eyeball side of the spectacle lens The lens arrangement information between the surfaces is measured in advance. Then, the measurement result is input from the arrangement measuring device 12 to the computer unit 11 a of the ordering side device 11. When there is data input from the arrangement measuring device 12, in the computer unit 11a, the data input accepting means 51 accepts the data and temporarily uses a storage device such as RAM or HDD as in the case of the lens designation information 61 or the like. Keep it. In addition, when the lens arrangement information for the wearer can be obtained from the storage device of the ordering apparatus 11 or the server apparatus existing on the communication line 3, these pieces of data are obtained. It is also conceivable that the data input receiving means 51 takes in the spectacle frame information 63 from the existing location. That is, in this case, the measurement operation by the arrangement measuring device 12 is not necessary.

  Then, the data input accepting unit 51 accepts the lens designation information 61, the layout information 62, the spectacle frame information 63, and the “lens arrangement information”. Thereafter, these data are transmitted to the control means 53, and the data are transmitted to the order receiving processing means 71 of the order receiving side device 21 of the simulation center 2 through the order processing means 56.

Thereafter, the order processing means 71 refers to the data storage means 77 (or the data server 4), and each parameter to be obtained based on the transmitted data, including whether or not the wearer is a person who has been measured before. The order processing means 71 of the order-receiving device 21 determines whether or not it has already been calculated (S102).
If the aspherical component parameter has already been calculated (ie, the information corresponding to “starting information after correction” and “gradient information after correction” has been acquired) and the lens arrangement information has also been acquired, data The data is extracted from the storage unit 77, and the data is transmitted to the aspherical component parameter calculation unit (S109). Thereafter, the aspherical component parameter is calculated based on the data itself or the data (S110). Depending on the case, you may transfer to simulation image generation (S111) as it is.

  If the aspherical component parameter has not been calculated, the order receiving processing means 71 next determines whether or not the spherical component parameter has not been calculated (S103). As a result, if the calculation has been completed, the spherical component parameter is transmitted to the spherical component parameter calculation means 72 (S106). On the other hand, if the spherical component parameter has not been calculated, ray tracing or the like is performed based on the data transmitted from the spectacle store 1, and the spherical component parameter is calculated by the spherical component parameter calculating means (S104). Then, the result is input to the aspheric component parameter calculation means (S105).

If the correction component parameter is not calculated in parallel with or before or after the determination of whether or not the spherical component parameter is not calculated, the order receiving processing unit 71 then performs ray tracing based on the data transmitted from the spectacle store 1. The correction component parameter is calculated by the correction component parameter calculation means (S107). Then, the result is input to the aspheric component parameter calculation means (S108).
Although not shown in FIG. 4, it may be determined whether the correction component parameter has not been calculated. As a result, if the calculation has been completed, the correction component parameter may be transmitted to the aspheric component parameter calculation means 74.

  Through the above steps, aspheric component parameters are calculated (S110). Thereafter, based on the aspheric component parameter, the simulation image generating means 75 generates a simulation image (S111). And the simulation image is displayed on the display part 11c of the order side apparatus 11 of the spectacles store 1 (S112).

  Then, the wearer is caused to experience a pseudo-expansion / reduction of an eye image that can be observed when the spectacle lens is worn. The wearer is made to examine the result of this simulated experience (S113). If the wearer is satisfied, the series of simulations ends. If the wearer is not satisfied, the store clerk of the spectacle store 1 creates new lens information using the data correction means 55 from the operation unit 11b (S114). Data based on the new lens information thus created is transmitted again to the simulation center 2, and the process proceeds again to S102. This step is repeated until the wearer is satisfied.

<5. Simulation program>
Of the above-mentioned means, each means other than the data storage means 58 in the order-side device 11 and the data storage means 77 in the order-receiving device 21 receives a predetermined program installed in the HDD or the like of the computer unit 11a. This is realized by the execution of the CPU of the computer unit 11a. That is, the function as each means in the computer unit 11a of the ordering side apparatus 11 and the order receiving side apparatus 21 (that is, the computer part (not shown) on the simulation center 2 side) causes the computer part 11a to function as each means. It can be realized by a simulation program. In other words, the simulation program reflects the scaling of the eye image that occurs when the wearer wears the spectacle lens based on the actual spectacle lens arrangement when the wearer wears the spectacle lens. It is possible to function as simulation image generation means for generating the simulated image and simulation image display means for displaying the simulation image. Of course, the same applies to the data storage means 77 of the order-receiving device 21. In this case, the simulation program may be provided through the communication line 3 prior to installation in the HDD or the like of the computer unit 11a or the order-receiving device 21 (that is, the order-receiving computer unit). It may be provided by being stored in a storage medium readable by the computer unit 11a or the like.
In addition, in the spline interpolation calculation with the sample points (y, z) or (ρ, θ) set, the Y-axis and Z-axis nodes and the coefficient C, or the nodes in the radial and azimuth directions, and The coefficient C may be saved in a file.
In addition, as described in the above embodiment, when performing a simulation for an aspheric lens, based on the lens arrangement information, the basis of the scaling of the eye image that occurs when the wearer wears a spectacle lens. The computer unit 11a may function as a means for calculating the aspheric component parameter, and the computer unit 11a functions so that a simulation image reflecting the aspheric component parameter is generated by the simulation image generation unit. May be.

  Further, the data storage means 58 of the ordering apparatus 11 and the data storage means 77 of the order receiving apparatus 21 (hereinafter also referred to as “data storage means 58 etc.”) It is conceivable to realize this using a section. However, the data storage means 58 or the like does not necessarily have to be included in the computer unit 11a or the like of the ordering apparatus 11, and a communication means (not shown) that enables access to the data storage means 58 or the like is provided in the computer unit. 11a or the like may be provided in a device different from the ordering side device 11 and the order receiving side device 21 (for example, a part of the storage area in the data server 4). Further, when the data storage means 58 and the like inherent in the computer section 11a and the like and the data storage means of another device that can be accessed via the communication means further coexist, a function as a setting means for selecting a data storage destination May be included in the computer unit 11a or the like. In the case described above, the communication unit and the setting unit are realized by executing a predetermined program in the computer unit 11a and the like, like the above-described units.

<6. How to provide simulation information>
As described above, this embodiment is also characterized by a simulation apparatus and method, a simulation system, and a program that causes a computer to function in order to execute them. In addition to these, the present embodiment also has the technical features described above in the method of providing simulation information. In other words, after the wearer wears the spectacle lens, the actual spectacle lens arrangement relationship is input by the user device installed in the store, and then the user enters the spectacle lens arrangement relationship based on the input spectacle lens arrangement relationship. A simulation image reflecting the enlargement / reduction of the image of the eye generated when the wearer wears the spectacle lens is created by the apparatus or the server apparatus connected thereto. Then, the created simulation image is displayed on the simulation image display means in the user device, so that the wearer can experience the eye image that can be observed when the spectacle lens is worn.
The simulation image may be generated by a user device or a server device connected thereto. When it is performed by the user device, the data is processed by the user device, and a simulation image is generated and displayed by the user device.

Further, similar to the simulation program, based on the aspheric component parameter in the spectacle lens specified by the user device, a simulation image reflecting the expansion or contraction of the eye image that can be observed when the wearer wears the spectacle lens or Data necessary for generating the simulation image may be transmitted from the server device to the user device. Then, a simulation image may be displayed on the simulation image display means in the user device to allow the wearer to experience a simulated eye image that can be observed when the spectacle lens is worn.
In the above situation, the correction component parameter that causes the correction by the aspherical component to the spherical component parameter based on the spherical component among the parameters that are the basis of the scaling of the eye image is the server. It may be recorded on the device.
In the above situation, the correction component parameter that causes the correction by the aspherical component to the spherical component parameter based on the spherical component among the parameters that are the basis of the scaling of the eye image is the server. It may be recorded on the device.
Also, what is transmitted from the server device to the user device may be a simulation image or data necessary for generating the simulation image. When transmitting data, the user device processes the data, and similarly generates and displays a simulation image on the user device.

<7. Effects of this embodiment>
According to the spectacle wearing simulation system described in the present embodiment, in addition to the case of a spherical lens (described later in a modified example), even an aspheric lens, at least a detailed simulation of an eye image is performed. be able to.
In addition, the following two problems can be solved.

One is that it is possible to eliminate the “large amount of information”. In other words, by calculating the “aspheric surface shape parameter” from the “spherical surface component parameter” and the “correction component parameter”, a detailed simulation of the scaling of the eye image can be performed without the need for complicated surface data of the aspherical lens. Can be performed. Moreover, as a method for accurately reproducing the deformation of the image in the frame, the position (the position of the original image) where the ray passing through the position of the pixel on the frame intersects the face (around the eye) for all the pixels. Where it is necessary to obtain by the skew ray tracing, the calculation amount of the aspheric ray tracing can be reduced by performing them at the sample points, and the calculation time can be shortened.
That is, in addition to the spherical component parameter, the aspherical shape is simulated from the correction component parameter that is to be corrected with respect to the spherical component parameter, and consequently, the enlargement / reduction of the eye image is simulated. This makes it possible to maintain high simulation accuracy of the eye image to be simulated. Moreover, even if there is no detailed shape data of an actual aspheric lens, at least the enlargement / reduction of the eye image can be precisely simulated.

  The other is to reduce the “risk of leakage of technical information”. Even if the eye enlargement / reduction calculation is performed by the PC of the spectacle store or the server of the network service provider that has been outsourced, it is the “spherical component parameter” and / or the “correction component parameter” that is leaked. . In other words, detailed data of the aspheric lens shape itself is not leaked.

  In the present embodiment, the surface shape of the aspherical lens is not accurately reproduced, and it is only necessary to accurately perform the scaling of the eye image. That is, one feature of this embodiment is that it is not necessary to use the surface shape data itself of the aspheric lens. Of course, the surface shape data of the aspherical lens may be used for simulation in some form, but considering the danger of leakage of technical information as described above, it is considered that the advantage when not used is greater. It is done.

  Conventionally, many single-focal aspherical lenses and progressive lenses adopt aspherical or progressive surfaces as convex surfaces, and adopt spherical surfaces or toric surfaces with different curvatures on the inner surface, so that a predetermined prescription power or A prism prescription lens is to be realized. The specific convex aspherical surface or progressive surface in this case is commonly used for lenses in a certain power range. Usually, several types of convex aspherical surfaces or progressive surfaces (semi-lenses) are prepared to cover single-focus aspherical lenses or progressive lenses in all power ranges. Therefore, according to the present embodiment, if the “correction component parameter” by these finite number of aspherical surfaces or progressive surfaces is prepared in advance, even if the aspherical lens has a complicated surface shape, As long as the spherical component parameter of the spectacle lens worn by can be obtained, the simulation of the enlargement / reduction of the eye image can be performed with simple and precise accuracy.

  As a result, precise simulation of the eye image that can be observed when the wearer wears the spectacle lens is relatively simple, regardless of the spectacle lens shape, while suppressing the possibility of spectacle lens technical information leaks It becomes possible to do. As a result, for the wearer, when the spectacle lens is worn, the appearance is the same as the simulation result. In addition, spectacle stores and spectacle lens manufacturers can obtain sufficient customer satisfaction.

<8. Modification>
While embodiments of the present invention have been described above, the above disclosure is intended to illustrate exemplary embodiments of the present invention. That is, the technical scope of the present invention is not limited to the above exemplary embodiment.

First, in the present embodiment, the case where the spectacle lens is an aspherical lens has been described. However, the feature of the present invention is that the "real arrangement relationship" when the wearer wears the spectacle lens is used, and the eye image that can be observed when the wearer wears the spectacle lens regardless of the spectacle lens shape. It is to realize the precise simulation of Furthermore, even in the case of a spherical lens, the problem of the present invention (that is, “expansion of data”) may still occur due to a difference in shape between the front surface and the back surface. The surface shape in this case is also important technical information for the lens manufacturer. For this reason, another problem of the present invention (ie, “risk of information leakage”) may still occur. And it becomes possible to solve said subject by using the method of the said embodiment. That is, the present invention can be applied not only to an aspheric lens but also to a spherical lens.
When the simulation target is a spherical lens, if at least the “spherical component parameter” is obtained, it is possible to perform a precise simulation of the scaling of the eye image.

  If the spectacle lens to be simulated is a spherical lens, the above embodiment can be used to precisely simulate the enlargement / reduction of the eye image without performing ray tracing calculations. It becomes. For example, when the spectacle lens is a spherical lens, a simulation image is generated based on the “spherical component parameter”. This “spherical component parameter” can be calculated relatively easily by a known calculation method if the curve value (n−1) / r (n is the refractive index and r is the curvature) of the spectacle lens can be obtained. Can do. In addition, by using the method described in [Embodiment 3], which will be described later, it is possible to calculate the spherical component parameter by omitting the ray tracing calculation.

  As the “lens arrangement information” of the present embodiment, as shown in FIG. 5A and FIG. 6, the distance from the geometric center of the spectacle lens to a part of the eye of the wearer in the X-axis direction is used as an example. ing. Certainly, the use of the distance in the X-axis direction from the exit point B on the origin plane to the portion where the light strikes the wearer can perform more accurate simulation of eye image scaling. In this case, it is necessary to grasp the unevenness information around the eyes, but it is difficult. On the other hand, the accuracy when simulating the enlargement / reduction of the image of the eye may be of a level that does not cause the wearer to feel uncomfortable. For this reason, even if the actual distance from the exit point B to the intersection C of the wearer's face is not completely grasped, the “actual distance (particularly the vertex) from the part of the back surface (for example, the geometric center or optical center) to the wearer. By using the distance d) ", it is possible to carry out a simpler and more precise simulation of eye image scaling than before.

In addition, it is possible to perform a more accurate simulation of the enlargement / reduction of the eye image by using the distance from the exit point H from the back surface to the portion where the light hits the wearer. On the other hand, the accuracy when simulating the enlargement / reduction of the image of the eye may be of a level that does not cause the wearer to feel uncomfortable. Therefore, even if the actual distance from the exit point H to the wearer (point C) is not completely grasped, the actual distance from the part of the back surface (for example, geometric center or optical center) to the wearer, the forward tilt angle, By using the internal tilt angle, it is possible to perform a simpler and more precise simulation of eye image scaling than in the past. In other words, the “actual distance” in the present embodiment refers to “starting point information after correction” (specifically, “starting point coordinates after correction”, more specifically, a correction component parameter, depending on the relationship with “gradient information”. This is the distance for calculating the “starting point information correction value” resulting from. If the “aspherical component parameter” can be finally calculated and the actual distance between the back surface of the spectacle lens and the wearer, the “actual distance” may not be a distance in the X-axis direction. It does not matter if it is not the vertex distance d.
As described again, in addition to “actual distance”, the angle formed by the spectacle lens and the wearer (the optical axis that is the axis of the line of sight) is “the forward tilt angle (for example, the spectacle lens and the optical axis in XY plan view). In addition to the “angle” ”and“ inward tilt angle (for example, an angle formed by the spectacle lens and the optical axis in XZ plan view) ”, the“ starting information after correction ”may be calculated.

On the other hand, in the present invention, it is only necessary to separate and acquire the “spherical component parameter” and the “correction component parameter” with respect to the spectacle lens that is an aspherical lens. Therefore, if these parameters can be acquired, the “actual distance” may not be used. As a specific example, the “spherical component parameter” and the “correction component parameter” may be acquired separately and the “aspherical component parameter” may be obtained after setting the actual distance to a predetermined fixed value. .
Moreover, even if it is not the above “actual distance” itself (that is, not the actual distance in the X-axis direction), at least a part of the shape of the eye of the wearer when the spectacle lens is worn And the actual distance between the eyeglass lens and the back surface of the spectacle lens may be reflected.

As described above, the “actual distance” in the “lens arrangement information” in the present embodiment is originally the inter-vertex distance d or the actual distance from the point H to the wearer. It is preferable to do this. However, for each sample point in the above ray tracing calculation, it is possible to perform a sufficiently detailed simulation of the scaling of the eye image without obtaining this distance.
Further, the “actual distance” may not be a distance in the X-axis direction, and may be a distance in a direction having an inclination in the XY plane, for example. It is only necessary that each parameter can be calculated from the corrected gradient information, and processing such as multiplying the coefficient by the distance may be performed as appropriate.

  After all, in the present invention, from the “spherical component parameter” and the “correction component parameter”, in the spectacle lens having an aspherical shape, of course, “movement of the eye image within the spectacle frame” caused by the prism power is also included. In particular, the main feature is that the simulation is performed precisely with respect to the “scaling of the eye image”.

  In addition, “origin point information” and “gradient information” are given as examples of “spherical component parameter”, “correction component parameter”, and “aspherical component parameter”, but in the Y-axis direction and Z-axis direction, If the incident point A, the virtual emission starting point B on the back surface, and the point C where the light hits the wearer's face are known and the respective distances from the reference location (the X axis in FIG. 5A) are known, Information other than “starting point information” and “gradient information” may be employed.

The starting point coordinates in the “starting point information” means that the light enters the spectacle lens from the position where the light enters the spectacle lens when viewed on a plane other than the plane perpendicular to the optical axis direction of the light incident on the spectacle lens. It is a coordinate which shows the variation | change_quantity to the position radiate | emitted from the lens. In other words, the starting point information may be a parameter for obtaining the amount of change. That is, by adding a calculation process to the change amount, the change amount (also referred to as “starting point shift”) when viewed on a plane perpendicular to the optical axis direction of the light incident on the spectacle lens is used instead of the starting point coordinates. It may be derived.
Similarly, in the “gradient information”, the inclination of the light beam when the light exits from the spectacle lens other than “other than” when viewed from the optical axis direction of the light incident on the spectacle lens may be obtained first. . And from there, you may obtain | require the inclination of the light ray when the said light radiate | emits from a spectacle lens when it sees from the optical axis direction of the light which injects into a spectacle lens.

  In addition, when the observer observes from an oblique direction rather than from the front of the wearer, an incident light beam is incident obliquely. In this case, as in the case where the lens shown in FIG. 6 is tilted forward or inward, it is necessary to calculate the correction component parameter not using the light incident position (y, z) but using the local coordinates of the convex passing point. Further, since the face plane is not orthogonal to the incident light beam, it is slightly complicated to obtain the intersection of the outgoing light beam and the face plane. However, this calculation is a content that can be solved by using analytical geometry, and is the subject of the present invention, which is the “detailed eye image that can be observed when a wearer wears a spectacle lens having an aspherical shape”. It is possible to realize the simulation relatively simply.

  When the spectacle store 1 measures the apex distance d (for example, the distance in the horizontal direction) between the back surface of the spectacle lens and the wearer, which is one of the lens arrangement information, the spectacle store 1 Regardless of whether or not the eyeglass lens has an appropriate performance for the wearer, the eyeglass lens for simulation having an optical surface shape having the same distance d when the wearer wears the eyeglass lens finally purchased by the wearer. You may prepare it. When a spectacle lens for simulation cannot be prepared, “lens arrangement information” when the wearer wears the spectacle lens may be set in advance, and this distance d may be used for subsequent simulation image generation.

  Note that the “simulation image” in the present embodiment is mainly assumed to be an image that can be displayed on the display unit 11c. However, even if the eye image is enlarged or reduced by projecting a three-dimensional stereoscopic image. I do not care. In addition, as described above, a plurality of sample points (y, z) and a portion where the light hits the wearer are prepared, and the result of ray tracing calculation at the plurality of locations is used to simulate the scaling of the eye image. Also good. By doing so, it becomes possible to accurately reproduce the enlargement / reduction in each part of the eye image, and as a result, the simulation accuracy of the enlargement / reduction of the eye image can be improved.

In the present embodiment, the method of adding the “correction component parameter” to the “spherical component parameter” has been described as a method for obtaining the “aspheric component parameter”. However, a method other than simple addition may be used if the aspheric component parameter is obtained in a form that reflects both. For example, a process of multiplying a spherical component parameter or a correction component parameter by a coefficient or another process may be performed. Other than that, the “aspheric component parameter” is calculated by performing ray tracing calculation on the spectacle lens to be simulated without separating the “spherical component parameter” and the “correction component parameter” in the first place. Also good. More specifically, ρ ₁ and ρ ₂ may be calculated by performing ray tracing calculation on a spectacle lens to be simulated. In the calculation, the starting point information reflecting the aspherical shape of the spectacle lens to be simulated (“starting information after correction” and “gradient information after correction” in this embodiment) is corrected with the spherical component parameter. You may calculate by ray tracing calculation, without dividing with a component parameter. The ray tracing calculation described above may be performed entirely by the order receiving side device 21 or may be performed by the ordering side device 11 or the data server 4. Further, the above ray tracing calculation may be shared by any one of the ordering side device 11, the order receiving side device 21, and the data server 4.

In the present embodiment, the example in which the “spherical component parameter calculation unit 72”, the “correction component parameter calculation unit 73”, and the “aspherical component parameter calculation unit 74” are provided in the order receiving side device 21 has been described. On the other hand, any of these or a combination of these may be provided in the ordering apparatus 11 (for example, the data storage unit 58) or the data server 4. As an example, there is an example in which the correction component parameter calculated by the correction component parameter calculation means 73 is already stored as data in the ordering apparatus 11 or the data server 4. In this case, when predetermined data is input to the data input accepting unit 51 of the ordering apparatus 11 by the operation unit 11b, the correction component parameter already stored in the data storage unit 58 or the data server 4 is transmitted via the control unit 53. Is pulled out to the control means 53. Then, if necessary, the spherical component parameter may be received from the simulation center 2 and the control unit 53 may calculate the aspherical component parameter. On the contrary, the spherical component parameter may already be stored as data in the ordering apparatus 11 or the data server 4. Furthermore, both parameters may already be stored as data in the ordering apparatus 11 or the data server 4. The data that may already be stored as data in the order-side device 11, the order-receiving device 21, and the data server 4 includes not only these parameters but also starting point information, gradient information, and lens arrangement information.
Similarly to the “spherical component parameter calculation means 72”, “correction component parameter calculation means 73”, and “aspherical surface component parameter calculation means 74”, the “simulation image generation means 75” is provided in the ordering side apparatus 11, the data server 4 and the like. It doesn't matter.

  In addition, as a technique for providing simulation information, a case where the correction component parameter is calculated by the simulation center 2 every time a simulation of enlargement / reduction of an eye image is performed is also conceivable. On the other hand, if the simulation center 2 has detailed aspherical shape data as technical information, if an order is received from the spectacle store 1, the spherical component parameters stored in the data server 4 and the detailed non-spherical shape data are received. A difference (that is, a correction component parameter) from the aspheric component parameter derived from the spherical shape data may be provided to the spectacle store 1. Then, by combining the spherical component parameter and the correction component parameter by the spectacle store 1, the aspheric component parameter may be reproduced to the extent that simulation is possible.

[Embodiment 2]
As an example of the first embodiment, the addition power distribution, which is one of the correction component parameters, is extracted, converted into data, and stored in the data server 4 (in some cases, the data storage unit 77). Mentioned. By doing so, it is possible to precisely simulate the enlargement / reduction of the image of the wearer's eye without detailed surface shape data of the spectacle lens. However, as described in the subject of the present invention, in recent years, there are a wide variety of spectacle lenses. It can also be said about the addition degree of the spectacle lens as a whole. For example, even if a progressive lens with the same distance diopter and the same progressive zone length is adopted, even if it is considered with a 0.25D pitch, there are 14 types of spectacles in a spectacle lens with an addition power of 0.75D to 3.50D. There will be a lens. The addition power distribution varies depending on each addition power. Therefore, if correction component parameters (on-lens distribution spline data of starting point information correction values and gradient information correction values) are prepared for all additions, the amount of data becomes enormous. Further, “an enormous amount of shape data on the optical surface of the spectacle lens” is cited as a subject of the present invention, and the present inventors have examined means for solving this more efficiently.

Therefore, the inventors of the present invention have the same distance dioptric power and progressive band length progressive lens, the origin information correction value and the gradient information correction value of the light emitted from the back surface of the spectacle lens increase almost monotonically with the change in addition power. The knowledge that it is. From this knowledge, the knowledge that the starting point information correction value and the gradient information correction value can be expressed by the following expression (k), which is an approximate expression, was obtained.
Note that f is an arbitrary one of the starting point information correction value and the gradient information correction value in the case of the progressive lens, A is the addition power, and f ₀ , f ₁ , and f ₂ are obtained by the least square method. It is a value and is represented by the following formula (l).
The expression (l) is an expression representing the distribution on the lens surface by a two-dimensional polar coordinate B-spline, and ρ and θ are polar coordinate displays on the YZ plane.

  By preparing the above equation (k) and approximating the change due to the addition to a quadratic polynomial, the correction component parameters (starting point information correction value and gradient information correction) can be applied to the progressive surface of all additions with a small amount of data. Value on lens distribution spline data) can be reconstructed. As a result, the correction component parameters (starting point shift correction value, gradient information correction value, etc.) can be reproduced for all additions. By doing so, the problem of enlarging the shape data of the optical surface of the spectacle lens can be solved more efficiently. And it becomes possible to further reduce the load of simulation processing.

  Note that the origin shift of the outgoing ray and the gradient information value two-dimensional B-spline data generated by the addition power distribution thus created are not only for a lens having a constant spherical power but also for a spherical power that has changed to some extent from the constant spherical power. The present invention can also be applied to spectacle lenses having astigmatic power (for example, a power range covered by a semi-finished lens having the same curve). If the above data is prepared for several types of semi-finished lenses, it is possible to cover progressive lenses in the full power range.

  In the case of a free-form surface lens (especially a free-form surface progressive lens), strictly speaking, the shape of the aspheric surface differs depending on the distance power, the astigmatism power, the astigmatism axis angle, and the addition power. In this case, it is necessary to prepare in advance two-dimensional B-spline data for calculating the correction component parameter in accordance with all assumed distance dioptric powers, astigmatic powers, and addition powers. However, if the preparation is made, the data becomes enormous.

  In this case as well, the above embodiment can be applied. In other words, among the correction component parameters for each lens of the same nominal curve, the amount of data can be reduced by preparing separately the amount of change due to the distance spherical power and the amount of change due to the astigmatism power, and approximating with linear or quadratic equations. You can also. In addition, the change due to the astigmatism power can be adjusted to the lens of the prescription astigmatism axis angle by rotating according to the astigmatism axis angle, and data for the change due to the astigmatism power is not prepared for all astigmatism axis angles. I'll do it. Specific examples are shown below.

Here, in the power range, for example -2.00～ + 2.00 blanks (mass of lens material) to cover with a predetermined curve value, for example 0.00 representative spherical power _{S 0,} the range of the astigmatic power C For example, consider a case where 0 is set to 0 to -4.0. The distribution of the starting point information correction value and the gradient information correction value at an arbitrary frequency within this range is expressed by the following equation (m).
Here, f (S ₀ , 0, ρ, θ) is a correction amount in the representative spherical power S ₀ , Δf _s (ΔS, ρ, θ) is a correction amount due to the spherical power difference ΔS from the representative spherical power S ₀ , Δf _c (C, ρ, θ−α) is a correction amount based on the astigmatism power. α is an astigmatic axis angle. f (S ₀ , 0, ρ, θ) is obtained by the above method using the equations (k) (l). In addition, Δf _s (ΔS, ρ, θ) and Δf _c (C, ρ, θ-α) are regarded as monotone change functions of ΔS and C, respectively, and approximated to the following equation (n).
The above Δf _{s0 to 2} and Δf _{s0 to 2} are obtained by a method such as a least square method and stored in the form of coefficient data for spline interpolation. Specifically, it is obtained by the following equation (o).
Here, B is a B-spline basis function, and C is its coefficient.
In summary, in the above case, the “starting point information correction value” and the “gradient information correction value” in the “correction component parameters” in the first embodiment are “corrected by the representative spherical power” when a free-form surface lens is used. "" Correction amount due to spherical power difference with respect to representative spherical power "" Correction amount based on astigmatic power ". In addition, considering that the “spherical component parameter” is caused by the “spherical element (spherical power, astigmatic power, etc.)” that provides “starting point information” and “gradient information”, these corrections are treated as “spherical component parameters”. It doesn't matter. Further, the above corrections may be collectively handled as “aspheric component parameters”. Similarly, the correction amount may be included in the “aspheric element” or may be included in the “spherical element”.

[Embodiment 3]
As an example of the first embodiment, a method for obtaining the spherical component parameter using the ray tracing method has been described. On the other hand, the spherical component parameter varies greatly depending on the spherical power, the astigmatic power, and the prism power. As a result, the amount of data for the spherical component parameters is enormous. Further, as an object of the present invention, “enlargement of the shape data of the optical surface of the spectacle lens” is cited. As in the second embodiment, the present inventors have examined a means for solving this more efficiently. did.

Therefore, the present inventors express the wavefront converted by the lens and emitted from the back surface of the spectacle lens when the plane light wavefront is incident on the lens by the following approximate expression (p), which is the normal of the wavefront. A method of using the gradient information of the emitted light as a spherical component parameter has been found. Since this method omits the ray tracing process, the result can be obtained at high speed.
The following approximate expression (p) is obtained when the optical axis direction of the spectacle lens is the X axis, the vertical direction is the X axis, the vertical direction is the Y axis, the vertical direction is the X axis, and the horizontal direction is the Z axis. It is an approximate expression of the wavefront immediately after the plane incident wavefront parallel to the YZ plane passes through the spectacle lens.
Here, P _y and P _z represent the Y-axis component and Z-axis component of the gradient information based on the prism frequency, D _yy is the frequency in the Y-axis direction, D _zz is the frequency in the Z-axis direction, and D _yz is the oblique axis component of the frequency. Represents.
P _y and P _z are represented by the following formula (q).
Here, P is the prism power and β is the angle in the prism base direction. Coefficient 0.01 is for unit adjustment.
D _yy , D _yz , and D _zz are expressed by the following formula (r).
Here, S is the spherical power, C is the astigmatic power, and α is the astigmatic axis angle. The coefficient 0.001 is for unit adjustment. The unit of x, y, z in the formula (i) is mm, and the unit of S and C frequency is 1 / m.
Further, the slope information k _y in the Y-axis _direction, gradient information k _z in the Z axis direction is expressed by the following equation (s).
In other words, the trajectory of the light after passing through the spectacle lens is obtained based on the above formula (p), and the simulation image is generated while the ray tracing method is unnecessary by taking the trajectory into consideration. .

  By doing so, it is possible to calculate the spherical component parameter (that is, the calculation of the origin coordinates and gradient information of the emitted light beam). That is, it is only necessary to perform the ray tracing calculation for the correction component parameter, and it is not necessary to carry out ray tracing for the spherical component parameter. In addition to the present embodiment, the data amount necessary for the simulation can be greatly reduced by further combining the second embodiment. In terms of the accuracy of the spherical component parameters obtained by this method, it is higher to actually perform skew ray tracing. On the other hand, since the calculation can be simplified, the amount of data can be reduced, and the calculation speed can be improved. This effect is particularly useful when high-speed and fast calculation is required.

[Embodiment 4]
In the first embodiment, the example in which the aspherical component parameters (that is, the spherical component parameter and the correction component parameter) are obtained for the entire spectacle lens has been described. In addition to this, for example, in the case of a spectacle lens composed of aspheric surfaces on both the front and back surfaces, an aspheric component parameter (correction component parameter) is obtained for each side and added together to obtain the aspheric component of the entire spectacle lens. A method of calculating a parameter (correction component parameter) is also conceivable.

As a specific example, first, it is assumed that a spectacle lens to be simulated has a predetermined thickness and prism angle. A spectacle lens having a spherical surface or a toric surface with a predetermined curvature on the back surface (that is, a lens having only an aspheric surface shape) is prepared while having these thicknesses and prism angles. To do. Then, by the method described in the above embodiment, the first correction component parameter is obtained and recorded for the spectacle lens having an aspheric surface only.
Then, conversely, a spectacle lens having a spherical surface or a toric surface with a predetermined curvature only on the back surface (that is, a lens having only an aspheric shape on the back surface) is prepared. Then, by the method described in the above embodiment, the second correction component parameter is obtained and recorded for the spectacle lens having an aspheric surface only.

  The first correction component parameter (aspherical surface only) obtained in this way and the second correction component parameter (aspherical surface only on the back surface) are added together. The sum is used as a correction component parameter for a double-sided aspheric surface in a simulation-target double-sided aspherical spectacle lens that should be acquired.

  According to the above method, for example, when the aspheric shape of the surface is commonly used for lenses of various powers, the first correction component parameter for the aspheric shape of the surface is known and the data is stored in the data server. If it is stored at 4 etc., the calculation of the correction component parameter and the calculation of the aspheric component parameter (S109 to S110) can be omitted if the back surface is spherical. In addition, the second correction component parameter for the aspherical shape of the back surface is known and data is stored in the data server 4 or the like, and both the aspherical shape of the front surface and the aspherical shape of the back surface are known. If both correction component parameters (first and second aspheric component parameters) are stored in the data server 4 or the like, even a spectacle lens having a very complicated shape such as a double-sided aspheric surface can be used. Further, the calculation of the correction component parameter and the calculation of the aspherical component parameter (S109 to S110) can be omitted, and there is a remarkable effect that the simulation of the enlargement / reduction of the eye image can be performed precisely.

  In addition to the above method, a double-sided aspheric spectacle lens is prepared from the beginning, and for example, a spherical element (spherical surface or toric surface with a predetermined curvature) contained in the aspherical shape is selected and adopted for the back surface. The first correction component parameter (only the aspheric surface shape) may be acquired. The same applies to the second correction component parameter. In addition to the data server 4, the recording means may be set as appropriate, such as the data storage means 58 and 77.

Hereinafter, another aspect of the present invention will be additionally described.
[Appendix 1]
When the wearer wears the spectacle lens based on the arrangement relationship between at least a part of the shape of the eye shape of the wearer and the eyeball side surface of the spectacle lens when the spectacle lens is worn A simulation method for wearing spectacles, which simulates enlargement / reduction of an image of an eye observed through a spectacle lens.
[Appendix 2]
When the wearer wears the spectacle lens based on the arrangement relationship between at least a part of the shape of the eye shape of the wearer and the eyeball side surface of the spectacle lens when the spectacle lens is worn A simulation means for simulating the enlargement / reduction of the image of the eye observed through the spectacle lens;
A spectacle wearing simulation apparatus comprising:
[Appendix 3]
A simulation system for wearing spectacles, characterized in that a simulation image is generated by the simulation image generation means without being based on surface shape data of the spectacle lens.
[Appendix 4]
Of the parameters that serve as the basis for scaling the eye image that can be observed when the wearer wears a spectacle lens in which at least one of the optical surfaces is aspherical, Correction component parameter calculation means for obtaining a correction component parameter that has caused the correction by the aspheric component;
Aspheric component parameter calculating means for calculating an aspheric component parameter based on the spherical component parameter, the correction component parameter and the actual arrangement relationship;
Further comprising
A simulation system for spectacle wearing, wherein the simulation image generating means generates a simulation image reflecting the enlargement / reduction of an eye image that occurs when a wearer wears a spectacle lens based on the aspheric component parameter.

DESCRIPTION OF SYMBOLS 1 ... Glasses store 2 ... Simulation center 3 ... Communication line 4 ... Data server 11 ... Order side apparatus 11a ... Computer part 11b ... Operation part 11c ... (Simulation image) Display part 12 ... Lens front-of-eye arrangement | positioning information measuring apparatus (arrangement measuring apparatus) )
21 ... Order receiving device (computer part on the simulation center side)
51 ... Data input accepting means 52 ... Information obtaining means 53 ... Control means 55 ... Data correcting means 56 ... Order processing means 57 ... Simulation image receiving means 58 ... Data storage means (ordering side apparatus)
61 ... Lens designation information 62 ... Layout information 63 ... Eyeglass frame information 64 ... Eyeglass lens information 65 ... Ordered data 66 ... Order received data 71 ... Order processing means 72 ... Spherical component parameter calculation means 73 ... Correction component parameter calculation means 74 ... Aspheric component parameter calculation means 75 ... simulation image generation means 76 ... simulation image transmission means 77 ... data storage means (order receiving side device)

Claims (6)

In a spectacle wearing simulation system that allows a wearer to experience an eye image that can be observed when a spectacle lens is worn,
When the spectacle lens is worn, the wearer selects the spectacle lens based on the actual positional relationship between at least a part of the shape of the eye shape of the wearer and the eyeball side surface of the spectacle lens. A simulation image generating means for generating a simulation image reflecting the enlargement / reduction of an eye image generated when worn;
Simulation image display means for displaying the simulation image;
Have a, at the time of generation of the simulation image,
Set a sample point on the optical surface of the spectacle lens, calculate a starting point information correction value and a gradient information correction value due to the aspheric element at the sample point using a ray tracing method for the sample point,
Using the starting point information correction value and the gradient information correction value at the sample point, a spline interpolation coefficient is calculated,
Using the spline interpolation coefficient, the starting point information correction value and the gradient information correction value at an arbitrary point of the spectacle lens are calculated,
The corrected starting point information and the corrected gradient calculated from the starting point information and gradient information due to the spherical element at the sample point, and the starting point information correction value and the gradient information correction value due to the aspherical element. A spectacle wearing simulation system characterized by generating a simulation image based on information .
Note that the starting point information indicates information related to the incident and / or exit points of light in the spectacle lens. The gradient information indicates the inclination of the light beam when the light exits the spectacle lens when viewed from the optical axis direction of the light incident on the spectacle lens. The spherical element refers to an element formed by a lens having a predetermined spherical power and astigmatic power made of a spherical or toric surface, and the aspherical element refers to an element other than the spherical element. An aspherical component parameter calculating means for calculating an aspherical component parameter that is a basis for scaling of an eye image that can be observed when a wearer wears a spectacle lens in which at least one of the optical surfaces is aspherical;
Of the parameters that serve as the basis for scaling the eye image that can be observed when the wearer wears a spectacle lens in which at least one of the optical surfaces is aspherical, Correction component parameter calculation means for obtaining a correction component parameter that has caused the correction by the aspheric component;
Have
In the aspheric component parameter calculation means, an aspheric component parameter is calculated based on the spherical component parameter and the correction component parameter,
The spherical component parameter includes the starting point information and the gradient information due to at least the spherical element in the spectacle lens, and the correction component parameter includes the starting point information correction value and the gradient due to the aspheric element in the spectacle lens. Including information correction values,
In the aspheric component parameter calculation means, based on the starting point information and the gradient information, and the starting point information correction value and the gradient information correction value, the corrected starting point information and the corrected gradient information are converted into the aspheric component parameter. The calculation system for spectacles according to claim 1, wherein: In addition to the actual positional relationship, in addition to the enlargement / reduction of the eye image that occurs when the wearer wears the spectacle lens, the simulation image generating means, based on the spherical power, the astigmatic power, and the prism power, A simulation system for wearing spectacles according to claim 1 or 2 , wherein a simulation image reflecting the movement of an eye image is generated. A trajectory of the light after passing through the spectacle lens is obtained based on the following formula (1), and the simulation image is generated by adding the trajectory while eliminating the need for the ray tracing method. The spectacle wearing simulation system according to claim 3 .
The expression (1) is obtained when the optical axis direction of the spectacle lens is the X axis, the vertical direction is the Y axis, the vertical direction is the Y axis, the vertical direction is the X axis, and the horizontal direction is the Z axis. It is an approximate expression of a wavefront immediately after a parallel plane incident wavefront passes through a spectacle lens.
Here, P _y and P _z represent the Y-axis component and Z-axis component of the gradient information based on the prism frequency, D _yy is the frequency in the Y-axis direction, D _zz is the frequency in the Z-axis direction, and D _yz is the oblique axis component of the frequency. Represents.
P _y and P _z are expressed by the following formula (2).
Here, P is the prism power and β is the base angle.
D _yy , D _yz , and D _zz are represented by the following formula (3).
Here, S is the spherical power, C is the astigmatic power, and α is the astigmatic axis angle. In a method for providing spectacle wearing simulation information that allows a wearer to experience an eye image that can be observed when a spectacle lens is worn,
When the spectacle lens is worn, the actual arrangement relationship between at least a part of the shape of the eye shape of the wearer and the eyeball side surface of the spectacle lens is set to the user device installed in the store. Enter
Based on the input actual arrangement relationship, in the user device or a server device connected to the user device, generate a simulation image reflecting the expansion and contraction of the eye image that occurs when the wearer wears a spectacle lens,
When the generated simulation image is displayed on the simulation image display means in the user device and the wearer simulates an eye image that can be observed when the spectacle lens is worn ,
Set a sample point on the optical surface of the spectacle lens, calculate a starting point information correction value and a gradient information correction value due to the aspheric element at the sample point using a ray tracing method for the sample point,
Using the starting point information correction value and the gradient information correction value at the sample point, a spline interpolation coefficient is calculated,
Using the spline interpolation coefficient, the starting point information correction value and the gradient information correction value at an arbitrary point of the spectacle lens are calculated,
The corrected starting point information and the corrected gradient calculated from the starting point information and gradient information due to the spherical element at the sample point, and the starting point information correction value and the gradient information correction value due to the aspherical element. A method for providing spectacle wearing simulation information, comprising generating a simulation image based on information .
Note that the starting point information indicates information related to the incident and / or exit points of light in the spectacle lens. The gradient information indicates the inclination of the light beam when the light exits the spectacle lens when viewed from the optical axis direction of the light incident on the spectacle lens. The spherical element refers to an element formed by a lens having a predetermined spherical power and astigmatic power made of a spherical or toric surface, and the aspherical element refers to an element other than the spherical element. In the eyeglass wear simulation program that allows the wearer to experience an eye image that can be observed when wearing a spectacle lens,
Computer
When the spectacle lens is worn, the wearer selects the spectacle lens based on the actual positional relationship between at least a part of the shape of the eye shape of the wearer and the eyeball side surface of the spectacle lens. A simulation image generating means for generating a simulation image reflecting the enlargement / reduction of an eye image generated when worn; and
Simulation image display means for displaying the simulation image;
When generating simulation images,
Set a sample point on the optical surface of the spectacle lens, calculate a starting point information correction value and a gradient information correction value due to the aspheric element at the sample point using a ray tracing method for the sample point,
Using the starting point information correction value and the gradient information correction value at the sample point, a spline interpolation coefficient is calculated,
Using the spline interpolation coefficient, the starting point information correction value and the gradient information correction value at an arbitrary point of the spectacle lens are calculated,
The corrected starting point information and the corrected gradient calculated from the starting point information and gradient information due to the spherical element at the sample point, and the starting point information correction value and the gradient information correction value due to the aspherical element. based on the information, the spectacle wearing simulation program characterized that you generate simulation images.
Note that the starting point information indicates information related to the incident and / or exit points of light in the spectacle lens. The gradient information indicates the inclination of the light beam when the light exits the spectacle lens when viewed from the optical axis direction of the light incident on the spectacle lens. The spherical element refers to an element formed by a lens having a predetermined spherical power and astigmatic power made of a spherical or toric surface, and the aspherical element refers to an element other than the spherical element.