WO2012014810A1 - 眼鏡レンズの評価方法、眼鏡レンズの設計方法、眼鏡レンズの製造方法、眼鏡レンズの製造システム、及び眼鏡レンズ - Google Patents
眼鏡レンズの評価方法、眼鏡レンズの設計方法、眼鏡レンズの製造方法、眼鏡レンズの製造システム、及び眼鏡レンズ Download PDFInfo
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- relative
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- G—PHYSICS
- G02—OPTICS
- G02C—SPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
- G02C7/00—Optical parts
- G02C7/02—Lenses; Lens systems ; Methods of designing lenses
- G02C7/024—Methods of designing ophthalmic lenses
- G02C7/027—Methods of designing ophthalmic lenses considering wearer's parameters
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- G—PHYSICS
- G02—OPTICS
- G02C—SPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
- G02C7/00—Optical parts
- G02C7/02—Lenses; Lens systems ; Methods of designing lenses
- G02C7/024—Methods of designing ophthalmic lenses
- G02C7/025—Methods of designing ophthalmic lenses considering parameters of the viewed object
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- G—PHYSICS
- G02—OPTICS
- G02C—SPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
- G02C7/00—Optical parts
- G02C7/02—Lenses; Lens systems ; Methods of designing lenses
- G02C7/06—Lenses; Lens systems ; Methods of designing lenses bifocal; multifocal ; progressive
- G02C7/061—Spectacle lenses with progressively varying focal power
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- G—PHYSICS
- G02—OPTICS
- G02C—SPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
- G02C2202/00—Generic optical aspects applicable to one or more of the subgroups of G02C7/00
- G02C2202/06—Special ophthalmologic or optometric aspects
Definitions
- the present invention relates to a spectacle lens evaluation method used for evaluating the performance of designing or manufacturing a spectacle lens, a spectacle lens design method using the spectacle lens, a spectacle lens manufacturing method, a spectacle lens manufacturing system, and It relates to eyeglass lenses.
- Patent Document 1 International Publication No. 2002/0888828 pamphlet discloses a technique for designing a spectacle lens using a visual acuity function.
- Patent Document 2 International Publication No. 2004/018988 pamphlet describes a spectacle lens designed in consideration of the chromatic aberration of the visual acuity function.
- the visual acuity function is the visual acuity normalized by the optical aberration of the lens and the characteristic values of the eyeball (relative adjustment value, relative convergence value, physiological astigmatism amount) when the object is viewed through the spectacle lens (when fully corrected) ,
- Patent Documents 1 and 2 do not discuss any binocular vision function when wearing spectacles.
- Patent Document 1 since it is intended to be applied to a general-purpose lens, individual elements such as relative adjustment and relative convergence are not considered. Therefore, it is not suitable for designing an optimal spectacle lens incorporating individual information regarding binocular vision.
- the binocular lens design is of course not considered due to its general use.
- Patent Literature 2 although the chromatic aberration portion of the visual acuity function is considered, the other portions can be said to be inadequate technical content as an individual design considering binocular vision, as in Patent Literature 1 described above.
- Patent Document 3 Japanese Patent Publication No. 2-39767 (Japanese Patent Laid-Open Publication No. 57-10113)
- Patent Document 4 Japanese Patent Publication No. 2008-511033
- Patent Document 5 Japanese Patent Publication No. 2000-506628
- Patent Document 3 describes desirable conditions for establishing the binocular vision function. That is, the range of astigmatism in the progressive zone, the arrangement of astigmatism and adjustment error of the entire lens, the prism range of the left and right eyeglass lenses, and the condition of the distortion direction derived from the prism are described. However, the invention described in Patent Document 3 has several drawbacks when re-evaluated.
- the calculation of the aberration of the gaze emitted from the lens without assuming the listing rule, which is the main eye movement with one eye, is performed.
- the calculation of residual astigmatism becomes inaccurate, and it cannot be said that there is a predetermined effect described in the literature.
- the eye movement of one eye can be regarded as a rotational movement originally performed around one point in the eyeball.
- the frontal plane including the center of rotation in the eyeball at the position where the eyeball is gazing forward is called a listing plane.
- the fact that the rotation axis of the eyeball is in the listing plane is the law of the main movement of the eyeball, which is called the listing law.
- the progressive part of the left and right lenses is in a predetermined prism range, and takes approximately the same astigmatism and adjustment error on the left and right, both of which have the same blur, and thus binocular vision (presumed to be a binocular vision function). ) Is described as good.
- Patent Document 3 does not quantitatively present what balance of astigmatism and adjustment error is good for binocular vision and how good. In this regard, it is unclear how the spectacle lens described in Patent Document 3 is configured.
- FIG. 44 when the eyeballs 57 and 58 directly view the point Pp on the target surface 59, the lines of sight 50 and 51 are directed to the point Pp. Eyeglass lenses 52 and 53 are arranged in front of the eyeballs 57 and 58. Point Pp is the prismatic effect of the spectacle lens 52 and 53, the intersection P L of the line of sight 54 and the surface 59 on the left-eye 57, as is the right eye 58 at the intersection P R of the line of sight 55 and the surface 59 appear.
- the Plantis formula is an approximate expression sufficient for normal use, which means that the lens prism P is proportional to the distance h (in mm) from the center and the lens power D.
- the lens prism P is proportional to the distance h (in mm) from the center and the lens power D.
- the above assertion is not obvious and does not hold.
- the description is given from the coordinate system for specifying the target point Pp and the coordinate system of the right or left eyeglass lens without specifying the origin. Therefore, the configuration is not suitable for an optical system having a binocular vision function.
- FIG. 4 is a diagram in which the horizontal position difference is drawn from the point P when the point of the lattice in the plane is the point P, and it can be seen that it is distorted particularly in the lower peripheral part.
- lines 25 to 27 of Patent Document 3 this is described as saddle-shaped distortion, barrel-shaped distortion, and the like. That is, in Patent Document 1, the relationship between the distortion and the horizontal position difference [Delta] P H has been suggested.
- the lattice should be distorted when all the lines of sight 54 and 55 have intersections at points other than the point P on the surface 59.
- the horizontal position difference is 0, there is a contradiction that the above-mentioned “FIG. Therefore, the horizontal direction difference ⁇ P H is independent of distortion.
- a distorted figure is processed as an image drawn by a straight line by the brain, there is no description of the ground although it is an important matter how much the distortion can be processed as a straight line. Therefore, it cannot be clearly understood whether or not the distortion shown in FIG. 45 is a straight line in the brain.
- the target is on a plane. Basically, the target is arbitrarily determined by the designer. Therefore, in general, the eyeglass lens performance is designed to be high for an arbitrary target by the designer.
- the evaluation method is limited to a target proposal that is adopted as a spectacle lens for reading a taut newspaper, a wall character, or the like.
- the prism becomes larger. For this reason, it is difficult to evaluate binocular vision in a system in which the object is on a plane.
- Patent Document 4 proposes a spectacle lens design method that takes into account a state in which the front view direction of the spectacle wearer is deviated to the dominant eye side.
- Patent Document 4 has the following problems.
- the measurement target is a living body and there is a problem in measurement accuracy.
- the deviation is 2 cm. If it is 2 cm, it will be easy to measure, but if there are fewer deviations, it will be difficult to measure stably.
- paragraph 0063 of Patent Document 4 it is described that it can be measured by “absolute error of 3 mm or less”. However, considering that the normal near-field approach in a progressive power lens is 2.5 mm, the error amount is very large.
- Herring theory for binocular movement is based on the assumption that there are innervation of the version that produces binocular movement (ipsilateral binocular movement) and verses (heterolateral binocular movement), and the innervation given to both eyes is always It consists of the assumption of binocular innervation that is equal (Hering's law), and the innervation additivity assumption that additivity exists between these two types of innervation.
- Patent Document 3 the subject of this patent is that it is a plane as apparent from “FIG. 1” or “FIG. 4” of Patent Document 4. That is, the same thing as the 4th indication in patent document 3 can be said.
- Patent Document 5 discloses a technique regarding a so-called wrap-around type spectacle lens in which a lens is curved from the front side to the ear side. Further, on page 13 or 15 of Patent Document 5, there is a description about off-axis prism disparity. Here, the place regarding the binocular defect which is the assertion in Patent Document 5 will be mainly described.
- Patent Document 5 the technique disclosed in Patent Document 5 is related to a wraparound type and protective eyewear spectacle lens, but its configuration is unclear.
- the main invention described in Patent Document 5 it is necessary to have a prescription region and a peripheral temporal region.
- the difference between the two regions is in the shape of the surface as described on pages 28-30 of Patent Document 5.
- the method for explaining the difference here is not an evaluation based on a currently used ray tracing calculation, but a simple method of calculating from the shape of the lens surface used for the description of the past progressive lens. Therefore, refractive power and astigmatism are also derived values of the curve calculated from the derivative of the surface, and are different from those obtained by ray tracing calculation.
- the definition of the off-axis prism disparity described on page 13 of Patent Document 5 is merely described as “binocular vision defects occur if the temporal and nasal aberrations are not equal”. However, this does not fully describe what aberration is, and cannot be understood. Further, as a method for correcting the off-axis prism disparity, there is only a description that an aspheric surface described on page 15 of Patent Document 5 is adopted, and the description is insufficient. In addition, although it is clear that the evaluation is performed with a single-eye lens, it is concluded on page 13 of Patent Document 5 that it is “defective in binocular vision”, and the basis is not clear.
- Patent Document 5 which does not disclose a method for determining the binocular vision tolerance, it is difficult to easily guess whether the design can be made below this tolerance, as in the case of normal spectacle lens standards. That is, even if such a tolerance is described in a state where binocular vision is not defined, it is not easy to apply the lens design to other general prescriptions.
- the present invention quantitatively evaluates the binocular visual function based on physiological knowledge, proposes an evaluation function incorporating the evaluation result, and based on this, the binocular visual function is
- the purpose is to evaluate, design and manufacture excellent eyeglass lenses.
- the spectacle lens design method is a real relative vergence, an imaginary relative vergence, an actual relative adjustment, an imaginary relative, which are individual measurement values for binocular vision of a spectacle wearer.
- this relative specific value includes at least one of actual relative convergence and / or false relative convergence as individual relative measurement values.
- the binocular vision function is optimized by using a function obtained by adding the visual fatigue function including the relative measurement value as a factor at each evaluation point of interest as an evaluation function at the time of optimization calculation, and the optical design value of the spectacle lens To decide.
- the method for manufacturing a spectacle lens according to the present invention includes a step of manufacturing a spectacle lens based on the optical design value determined by the spectacle lens design method described above. Furthermore, the spectacle lens evaluation method according to the present invention evaluates the binocular vision function of the spectacle lens using the above-described function obtained by adding the visual fatigue function at each evaluation point as an evaluation function at the time of optimization calculation.
- the spectacle lens manufacturing system includes an ordering computer installed on the spectacle lens ordering side and having a function of performing processing necessary for ordering spectacle lenses, and receives information from the ordering computer.
- a spectacle lens manufacturing system in which a manufacturing computer having a function of performing processing necessary for ordering spectacle lenses and a communication line is connected, and includes the following elements.
- the ordering computer has a function of transmitting information necessary for the design of the spectacle lens including at least one of the real relative convergence and the false relative convergence or both as relative measurement values for binocular vision to the manufacturing computer.
- the manufacturing computer has the following functions.
- a data input unit that inputs data including relative congestion transmitted from the ordering computer, and a visual fatigue function calculation unit that calculates optical performance values for a plurality of target evaluation points based on the input data
- an evaluation function optimization unit for optimizing the binocular vision function using a function obtained by adding a visual fatigue function having a relative measurement value as a factor at each evaluation point of the target, and a convergence condition of the evaluation function
- An evaluation function evaluation unit that evaluates the establishment / non-establishment, a design data correction unit that corrects the design data of the spectacle lens when the value of the visual fatigue function does not reach a predetermined visual acuity as a result of the evaluation in the evaluation function evaluation unit,
- an optical design value determination unit for determining design data and a final in the optical design value determination unit
- Design data output section for supplying the meter data to a device for lens processing, a configuration having.
- the spectacle lens according to the present invention is manufactured by the above-described spectacle lens manufacturing method and system according to the present invention.
- a percival comfort area in the case of glasses. That is, an area within 1/3 of the relative convergence and an angle of convergence within 3 m square is called a percival comfort area.
- a modified region having a convergence angle threshold according to age, which is 1/3 of each relative measurement value, is defined as a comfortable region.
- Relative measurement values are, for example, non-patent document 16 (Masayoshi Emoto, “Relationship between Convergence of Binocular Eyes and Focus Adjustment and Visual Fatigue in Stereoscopic Viewing” (Visual Science Vol. 24, No. 1, 2003 (p13)).
- Non-Patent Document 17 (Masayoshi Emoto, 4 others, "Horizontal binocular parallax and visual fatigue when viewing a stereo display” VISION Vol.17, No.2, 101-112, 2005), there is a strong correlation with motor fusion and visual fatigue (eye strain). Fewer relative measurements cause fatigue.
- the present inventor noticed this, and realized that the spectacle lens designed so that the convergence aberration and the power error do not exceed 1/3 of the relative measurement value is comfortable for the wearer.
- the convergence aberration is defined as a difference from a convergence angle reference value which is a convergence angle of a gaze line passing through a design reference point of the spectacle lens.
- a relative measurement value is obtained from the orderer in accordance with the lens to be designed. If the relative measurement value is only one or both of actual relative congestion and imaginary relative congestion, the other value is calculated from either or both of actual relative congestion and imaginary relative congestion.
- the relative measurement value may be approximated by calculation from the age as described later, and using this as the relative measurement value also belongs to the category of the present invention.
- the binocular vision function of the spectacle lens can be improved by incorporating the relative measurement values obtained in this way into the evaluation function as described above for evaluation and design.
- 1/3 of the relative measurement value is used as a threshold value, and the region is classified into a comfortable region and a visual fatigue region. Since there is no unit in visual fatigue, the visual fatigue function is 0 when the convergence aberration and power error are simultaneously 0 in the comfort region, approaches 1 every time the convergence aberration and power error increase, and 1 when entering the visual fatigue region. It is desirable to normalize so as to be an increasing function.
- the vergence angle and the vergence aberration at the evaluation point by setting 1/3 of the actual relative vergence or the imaginary relative vergence of the relative measurement values as the threshold in the vergence angle axis. Then, for this convergence aberration, a plane parallel component that is a projection component of the midline of the gaze line for which the convergence angle of the evaluation point is obtained onto a plane perpendicular to the median plane is obtained, and the value of the plane parallel component of this convergence aberration and the above-mentioned It is desirable to classify the threshold value into a comfortable area and a visual fatigue area as a judgment condition for relative congestion.
- the “midline” of the present invention means that when a straight line is expressed by a direction cosine, the image-side midline passes through the midpoint (origin) of the left and right eyeball rotation centers, and the midline on the object side is the object.
- 1/3 of the relative measured value or the imaginary relative adjusted value of the relative measurement values is set as a threshold value, and the relative error is adjusted between the frequency error obtained at the evaluation point and the threshold value. It is also possible to classify into a comfortable area and a visual fatigue area as the determination condition.
- 1/3 of the vertical fusion of the relative measurement values is used as a threshold value, and the convergence angle at the evaluation point and the convergence angle at the design reference point
- the convergence aberration defined as the difference from the reference value is obtained, and for this convergence aberration, the vertical component that is the projection component to the plane parallel to the median plane is included, including the midline of the gaze line from which the convergence angle of the evaluation point is obtained.
- a fusion that does not involve eye movement or adjustment with respect to a motility fusion area measured by relative measurement values is called a sensory fusion.
- the measured values for the relative convergence, relative adjustment, and vertical alignment of the motility fusion are called the horizontal component of the Panum fusion zone, the depth of focus (or depth of field), and the vertical component of the Panum fusion zone, respectively.
- the sensory fusion area is an area where visual fatigue can be ignored relative to the comfort area. Therefore, the visual fatigue function is set to 0 in the sensory region. Then, since the sensory area is included in the comfort area, a visual fatigue function that is 0 to 1 can be defined during that period. In this case, there are three areas, a sensory fusion area, a motor comfort area, and a visual fatigue area.
- the comfort area is an area including the sensory fusion area and the motor comfort area.
- the measurement value in the binocular vision function when wearing glasses is the above-described “relative measurement value”
- at least one of or both of the relative relative convergence and the imaginary relative convergence is measured relative.
- a visual fatigue function that includes this relative measurement as a factor.
- the eyeglass lens is evaluated and designed by adding a visual fatigue function at each target evaluation point and optimizing it as an evaluation function.
- a spectacle lens with improved binocular vision function by using a visual fatigue function that incorporates a relative measurement value that is a measurement value related to the binocular vision function.
- FIG. 1 It is a figure which shows the comfort area
- FIG. 11 used in the embodiment of the spectacle lens evaluation method of the present invention is a description of the convergence aberration defined by the image side in the surface vertical direction when the object-eyeglass lens-eyeball system is viewed from the direction perpendicular to the median plane.
- FIG. It is a figure which shows the convergence angle by the side of the image in the evaluation point in the object-spectacle lens-eyeball system used for embodiment of the evaluation method of the spectacle lens of this invention.
- FIG. 1 It is a figure which shows the convergence angle by the side of the object in the evaluation point in the object-spectacle lens-eyeball system used for embodiment of the evaluation method of the spectacle lens of this invention. It is a figure which shows the structure of the object-spectacle lens-eyeball system in a comparative example. It is a figure which shows the surface parallel component of the convergence aberration of Example 1 in the evaluation method of the spectacle lens of this invention. It is a figure which shows the surface perpendicular component of the convergence aberration of Example 1 in the evaluation method of the spectacle lens of this invention. It is a figure which shows the fusion state through the spectacle lens of both eyes of Example 1 in the spectacle lens evaluation method of this invention.
- A is a diagram showing a sensory fusion
- B is a diagram showing a motor fusion.
- A is an example of calculating the convergence angle when the inter-pupil distance PD is 60 mm
- B is an example of calculating the convergence angle when the inter-pupil distance PD is 65 mm.
- It is a figure which shows the fusion area of Panamu with respect to the spatial frequency of object.
- FIGS. 1-10 It is a figure which shows the relationship between a horizontal retinal image difference and perceptual depth. It is a figure (Peters figure) which shows the relationship between the refractive power error of an eyeball with respect to a test subject of 5-15 years old, and visual acuity. It is a figure (Peters figure) which shows the relationship between the refractive power error of an eyeball with respect to a test subject of 25-35 years old, and visual acuity. It is a figure (Peters figure) which shows the relationship between the refractive power error of an eyeball with respect to the test subject of 45-55 years old, and visual acuity. FIGS.
- 6A to 6F are explanatory diagrams showing visual acuity deterioration in a state where spectacles of the opposite power are worn on a subject whose Peters diagram is normal. It is a figure which shows the visual acuity function of one eye derived
- this design reference point is slightly different between the single focus lens and the multifocal lens, they will be described separately.
- a prescription value sinometrial power, astigmatism power, astigmatism axis, prism value, prism axis
- This point is also called a viewpoint, an eye point, or an optical centering point.
- the design reference point is treated the same as the optical center of the lens.
- the design reference point of the lens is set in the frame in accordance with the distance between the pupils in the horizontal direction and slightly below the pupil in the vertical direction (about 10 degrees and about 4 mm about the rotation center).
- the design is not individually made, and a general purpose lens is substituted. Therefore, in the prescription for near-field lenses, a design reference point is provided at the intersection of the gaze line from the target distance (25 to 50 cm) and the lens, and the distance in the horizontal direction is slightly shorter (about 2 to 5 mm). (This is also referred to as the near-to-pupil distance, and may be abbreviated as NPD).
- multifocal lenses such as progressive lenses
- design reference points are usually far prescription values (spherical power, astigmatism power, astigmatism axis), eye points (points that match the pupil), prism measurement points, near prescription values (far prescription values)
- the frequency of addition ie, the added force
- a multifocal lens such as a progressive lens is usually placed in a frame with an eye point aligned with the pupil.
- Non-Patent Document 1 Tomohashi Takahashi, “Lens Design”, Tokai University Press (1994)
- Non-Patent Document 2 Takeshi2Noguchi et al, "ACTIVE OPTICS EXPERRIMENTS I, SHACK-HARTMAN WAVE-FRONT ANALYZER TO MESURE F / 5 MIRRORS", Publ. Natl. Astrron. Obs. Japan Vol. 1989), pp. 49-55.
- lens measuring instruments that calculate aberrations (power errors, astigmatism, etc.) from wavefront measurements after passing through spectacle lenses are used for lens design.
- Low-order aberrations include, for example, power error, residual astigmatism, and chromatic aberration.
- the refractive power of the lens is subtracted by the refractive power of the eyeball so that the object of the far distance can be clearly seen at the design reference point (usually, the lens position when the eyeball is seen through the lens).
- the lens compensates for the insufficient refractive power.
- the aberration at that time is zero.
- the astigmatism when the astigmatism is in the eyeball at the design reference point, it coincides with the astigmatism axis of the lens.
- the astigmatism axis is orthogonal to the principal ray and is the principal meridian of its refractive power. Similar to the eyeball, this principal ray is the path of the ray from the object through the spectacle lens to the center of eyeball rotation.
- the eyeball rotates according to the listing rule, unlike the normal coaxial optical system, the eyeglasses are fixed, and the direction of the eyeball changes relative to the eyeglasses.
- the refractive power of the lens is slightly different from the design reference point due to the nature of the lens. Even at that time, the refractive power of the lens is subtracted by the refractive power of the eyeball. The subtracted value is the aberration in the lens-eyeball system.
- the astigmatism axis of the lens and the astigmatism axis of the eyeball coincide with each other. What is necessary is just to subtract in each axial direction. In the past, this aberration was simply referred to as lens aberration. However, when the eyeball rotates in directions other than the astigmatic axis direction of the lens, the astigmatic axis of the lens and the astigmatic axis of the eyeball are different.
- the average of the amounts obtained by decomposing the refractive power of the lens in the astigmatic axis direction of the eyeball and subtracting the refractive powers in the respective astigmatic axis directions has been called a power error. Since this power error is an average, it is irrelevant to the difference in the astigmatism axes, and is equivalent to the power error when the astigmatism axes coincide. However, the astigmatism has a value different from that when the axes coincide.
- the power error is the average of aberration A and aberration B
- the residual astigmatism is aberration A and aberration A. This is the difference in aberration B.
- chromatic aberration is expressed as 100 ⁇ tan ⁇ / ⁇ , where ⁇ is the difference in angle between the principal ray from the center of eyeball rotation to the rear surface of the lens and the principal ray from the lens front surface to the object, and Abbe number ⁇ .
- FIG. 1 is a schematic configuration diagram of a spectacle lens manufacturing system according to the present embodiment.
- the spectacle store 100 side inputs a measurement device 101 that measures the eyesight and relative measurement value of the spectacle lens orderer, and various types of information including values measured by the measurement device.
- an ordering computer 102 having a function of performing processing necessary for ordering eyeglass lenses.
- the lens manufacturer 200 on the order receiving side is provided with a manufacturing computer 201 connected to a communication line 300 such as the Internet in order to receive information output from the ordering computer 102.
- the manufacturing-side computer 201 has a function of performing processing necessary for ordering spectacle lenses and also has a function of performing a spectacle lens design method described later. That is, the information required for the design of the spectacle lens ordered from the ordering computer 102 includes at least one of the actual relative vergence and / or the imaginary relative vergence among the relative measurement values in addition to the measurement value relating to visual acuity. Includes measurements. When the relative measurement value is not included, information on the orderer capable of roughly deriving the relative measurement value such as age is included.
- the manufacturing-side computer 201 performs an optimization calculation using a function obtained by adding a visual fatigue function including a relative measurement value as a factor at each target evaluation point as an evaluation function at the time of the optimization calculation. Thereby, an optical design value is determined, and manufacturing information for manufacturing a spectacle lens based on the optical design value is output to the lens processing apparatus 202.
- the information input to the manufacturing computer 201 can be added to the calculation of the visual fatigue function by inputting other information in addition to the information such as the orderer's measurement value and age as described above.
- the spectacle lens is manufactured by processing the lens based on the determined optical design value.
- the shape parameter unique to the manufacturer, the correction coefficient determined by the factory (manufacturing apparatus), etc. Shape parameters may be taken into account.
- the surface is expressed by a general free-form surface such as NURBS (Non-Uniform Rational B-Spline) or a known mathematical expression.
- NURBS Non-Uniform Rational B-Spline
- the thickness and arrangement are expressed by appropriate coefficients.
- the lens shape and the object are defined by coefficients that are constituent elements.
- known parameters are entered into the computer. Known parameters include target, target-lens-eyeball arrangement relationship, constraint conditions (for example, a predetermined prescription value at the design reference point, the thickness does not become a negative value, etc.), and lens aberration as factors. There are functions.
- a set of lens component coefficients that satisfies the constraint conditions and reduces the evaluation function obtained from the evaluation points on the object is searched for.
- the convergence condition a calculation that repeatedly converges is performed until a minimum evaluation function value or a set of coefficients that substantially reduces the evaluation function cannot be found.
- the lens component coefficients are determined. This whole step is called lens shape determination or lens design.
- Non-Patent Document 3 Mosato Wakakura, Osamu Mimura, “All about Vision and Eye Movement”, Medical View (2007), p147-p148, p140-143
- Non-Patent Document 4 (Howard, I) P. and Rogers, B. J., "Binocular vision and stereopsis", Chapter2, New York Oxford Press, (1995), p1-736).
- Non-Patent Document 3 p142 discloses that fusion is classified into motility and sensory.
- Non-Patent Document 4 has a detailed explanation in general.
- Non-Patent Document 3 classifies the structure so that fusion is possible when simultaneous viewing is possible and stereoscopic viewing is possible when fusion is possible. Since the present invention focuses on fusion, description of other functions is omitted. However, it is clearly stated that stereoscopic vision, which is the highest function of binocular vision without fusion, cannot be performed. Fusion is a visual function that integrates visual information input separately to both eyes into one. Integrating objects into one without moving the eyeball is a sensory fusion.
- Donders line A straight line at 45 degrees from the origin of the Donders diagram is called a Donders line.
- This straight line represents the accommodation-convergence linkage when a naked eye subject without perspective or oblique view is looking at the subject.
- the congestion limit value is called a Donders curve.
- the relative measurement value is significantly less than the standard value, it causes visual fatigue, the convergence is easier to measure than the adjustment, and the Donders line (the slope is expressed in the AC / C ratio).
- Non-patent document 7 (Kazuhiko Ukai, "Effects of stereo images on living organisms: What happens when stimulation of adjustment / congestion is inconsistent?" Ka ”vision, vol.17, No.2, p113-122).
- Realistic vergence and imaginary relative vergence are usually expressed by prism diopters.
- it when learning the definition of Donders, it is expressed as a meter angle value. Therefore, it may be called real relative convergence force or imaginary relative convergence force.
- real relative convergence and the imaginary relative convergence are unified and expressed.
- relative adjustment described later is expressed as a diopter value when learning the definition of Donders. Therefore, it may be called real relative accommodation force and imaginary relative accommodation force. Since there is no essential difference with respect to this, in the present invention, the real relative adjustment and the imaginary relative adjustment are unified and expressed.
- the relative adjustment described above is described in the specification of PCT / JP2008 / 069791 and the like by the present applicant.
- the specification describes the relative adjustment that is an individual element and a method of obtaining an approximate value of the relative adjustment from the age as a visual acuity function.
- Relative adjustment is a type of adjustment and exhibits properties similar to adjustment. Regarding the adjustment, the following contents are known.
- the adjustment does not work exactly to the limit and does not work at all when the limit is exceeded. For example, the accuracy is inferior in a region near the adjustment far point or adjustment near point. Also, it is ambiguous where the limit is. For this reason, when viewing from a distance, the subject is often in focus slightly closer to the target.
- the adjustment lead In near vision, the subject is focused slightly farther than the object. This imperfection is called the adjustment lead and the latter as the adjustment lug. Since there is an adjustment lead, the visual acuity at a distance is slightly reduced even in normal vision. Conversely, hyperopia is suspected when very good visual acuity is in the distance. Overcorrection is suspected if myopia is corrected and such is the case. As described above, a major problem in correcting refractive errors is that the amount of refractive errors depends on the concept of ambiguity in actual measurement, that is, the adjustment far point.
- Non-Patent Document 3 describes that convergence, adjustment, and pupils are closely linked in near vision reaction. Specifically, among the three elements, the amount of binocular parallax is accurately detected (congestion error is about 1 to 2 minutes), and the crossing or non-crossing and directionality are clear. Fast and accurate control is possible, but adjustment is difficult because the perspective direction is not known only from blurred visual information, and the response is small by the depth of focus. "It can be said that the response is correct.” Thus, relative adjustment is a measured value that is less accurate as an individual element for binocular vision compared to relative convergence. In the above-mentioned specification of PCT / JP2008 / 069791, it is described with one eye.
- the relative adjustment is corrected by the effect of adjusting the spectacle lens
- the example in the specification of PCT / JP2008 / 069791 uses the spectacle lens from the value obtained from the Donders diagram in the state where the spectacle lens is not used. This correction is necessary when calculating the relative adjustment.
- the relative adjustment here is premised on wearing a spectacle lens that has been corrected so that the object can be clearly seen. Therefore, no correction is necessary.
- FIG. 34 is a Donders diagram by Hatada described in Non-Patent Document 6.
- the horizontal axis indicates convergence (unit: meter angle MA), and the vertical axis indicates adjustment (unit: diopter D).
- the motor fusion is shown as a Donders curve in one Donders diagram, and the sensory fusion is shown as a gray region near the Donders line.
- Non-Patent Document 8 (David M. Hoffman, Ahna R. Girshick, Kurt Akeley, Martin S. Banks, "Vergence-accommodation conflicts hinder visual performance and cause visual fatigue", journal of vision, Vol3, , 33, (2008)),
- Fig.2 shows the motor fusion and the sensory fusion separately in two Donders diagrams. This is shown in FIGS. 35A and 35B.
- FIG. 35A shows sensory fusion
- FIG. 35B shows motor fusion.
- relative convergence and relative accommodation work together in the motility fusion, and in the sensory fusion, the Panum fusion area and the depth of focus area are narrower than in FIG. 35B.
- Non-Patent Document 9 Yasuo Izumi, Toshinari Kazami, “Binocular Vision Examination” Revised Edition, Waseda College of Optical (1985) p5). ing. Furthermore, it is described as Morgan's standard value in p288 of Non-Patent Document 12 (Tetsuya Tsuda, “Introduction to 21-Item Inspection in US-Inspection and Analysis of Visual Function”, Modern Optical Publishing Company (1983)).
- FIGS. 36A and 36B A reference example of numerical calculation is shown in FIGS. 36A and 36B.
- the inter-pupil distance PD 0.06 m
- PD 0.065 m.
- distance (cm), meter angle MA, minute angle (arc min), and ⁇ (diopter) are listed as parameters.
- Non-Patent Document 10 Korean Uchikawa, edited by Jun Shioiri, “Visual II”, Asakura Shoten (2007) p131-132).
- Non-Patent Document 10 states that in order for two retinal images with binocular parallax to be perceived as one, the magnitude of the parallax needs to fall within a certain range.
- Panam fusion area which depends on the stimulation conditions (spatio-temporal frequency, retinal position, presence of peripheral stimulation, measurement method, judgment criteria, etc.) ), which varies greatly from a few minutes to a few degrees, and therefore cannot be represented by specific experimental results.
- binocular parallax is the difference between the left and right eyeball nodes and the line of sight across the fixed viewpoint.
- the difference between the nodal point and the center of rotation is small compared to the distance of the outside world, so it may not be distinguished.
- the range of sensory fusion depends on spatial frequency, that is, on the shape and size of the visual object. How to depend is described in, for example, Non-Patent Document 11 (Schor, C. Wood, I. Ogawa J. "Binocular sensory fusion is limited by spatial resolution", Vision Research, 24 (7), 1984 (1984) p661-665). Has been.
- FIG. 37 shows a diagram of p584 of Non-Patent Document 11.
- FIG. 37 compares the results of a square pattern and a dot pattern as objects.
- the fusion region is relatively narrow and almost constant in a state with high spatial frequency where visual acuity occurs. Also, the fusion region is different between the horizontal direction and the vertical direction, and there is spatial anisotropy. When viewed at a high spatial frequency, that is, in the fovea, the vertical fusion region is less than half of the horizontal fusion region. It is also known that there are differences in Panam's fusion zone depending on the submission status. It is known that Panam's fusion zone is wider, for example, in a square pattern that appears in everyday life than a dot pattern.
- FIG. 38 the relationship between the horizontal retinal image difference and the perceptual depth is shown in FIG. 38 (p86 of Non-Patent Document 10).
- the horizontal axis represents the binocular retinal image difference that is the difference between the binocular parallaxes in the horizontal direction
- the vertical axis represents the perceptual depth with respect to the binocular retinal image difference.
- the maximum depth and the fusion limit are different values, it can be said that fusion and stereoscopic vision are different physiological phenomena.
- the maximum depth and the fusion limit have individual differences in values, and change depending on conditions such as spatial frequency and presentation time. Therefore, approximately, the binocular retinal image difference corresponding to the range from the fusion limit to the maximum depth can be treated as the “Panum fusion region”.
- Non-Patent Document 5 describes a measurement value and a measurement method of relative congestion.
- Non-Patent Document 5 uses a haploscope to measure relative congestion.
- the unit is a meter angle (indicated by MA and sometimes expressed as MW).
- the measurement method of Non-Patent Document 5 is as follows. First, in a state in which an object is watched with both eyes, a reflecting mirror is used for both eyes to enter an outward viewing state.
- the meter angle when the subject is blurred as the actual relative convergence (blur)
- the meter angle when the subject is separated into two as the actual relative congestion (separation) Yes.
- the measured value of the actual relative congestion (separation) is a limit value of the relative congestion, and will be simply referred to as actual relative congestion in this specification.
- real relative congestion (recovery) when the object appears to be one again when the outward state is reduced from that state, it is called real relative congestion (recovery).
- the angle of the inward is gradually increased as the inward viewing state, and the meter angle when the subject is blurred is defined as imaginary relative convergence (blur), and two subjects
- the meter angle when separated into two is the imaginary relative vergence (separation).
- the meter angle when the inward degree is reduced and the object appears to be one again is called imaginary relative convergence (recovery).
- the imaginary relative convergence (separation) is simply referred to as imaginary relative convergence in this specification.
- it can also be measured with a large amblyopia (synoptopha) which is a measuring instrument similar to that described in Non-Patent Document 5 and the like.
- Non-Patent Document 12 describes the inspection items related to each of the above-mentioned relative congestions. That is, the actual relative congestion (blurring), actual relative congestion (separation), actual relative congestion (recovery), and actual relative congestion at the distance as # 9 item, # 10 item, and # 11 item of Non-Patent Document 12 (Bokeh), a measurement method using a subjective optometrist for imaginary relative convergence (recovery) is described.
- Non-Patent Document 13 (Masayoshi Emoto, Sumio Yano, Shojiro Nagata “Papers: Distribution of fusional convergence limit when observing stereoscopic image system”, Journal of the Institute of Image Information and Television Engineers, Vol.55, No5, (2001), p703-710) Describes a simple measuring instrument for relative convergence 60 cm in front of the eye. The real relative vergence (separation) and the imaginary relative vergence (separation) are measured by determining whether stereoscopic viewing is possible by showing images with parallax to the left and right eyes on the display device. This is a useful method for measuring large numbers of people.
- the measuring instrument shown in FIG. 3 of Non-Patent Document 8 measures relative measurement values at three positions in front (distances 31.9 cm, 39.4 cm, and 56.3 cm).
- the actual relative vergence and the imaginary relative vergence are measured by an experimental apparatus in which the stereoscopic endoscope described in FIG.
- the actual measurement data is FIG. 34 of the present application.
- relative adjustment has poor measurement accuracy as described later, and there are few examples of direct measurement.
- a measurement method and a standard value are disclosed in p41 of Non-Patent Document 5. The adjustment is closely related to the congestion, and the relative adjustment can be calculated from the relative congestion.
- the measuring apparatus 101 of the spectacle store 100 shown in FIG. 1 measures the visual acuity and relative measurement value of the spectacle lens orderer, or performs a predetermined process on the ordering computer 102 for information on the orderer who can calculate the relative measurement value. In addition, it is sent to the lens manufacturer 200 via the communication line 300.
- the computer 201 (manufacturing side computer) of the lens manufacturer 200 inputs the data regarding the lens material and the shape data based on the specifications, the data regarding the shape of the eyes and the face received by the data input unit 203, and inputs the relative measurement value and the like. To do.
- FIG. 2 is a functional block diagram for explaining an outline of functions of the manufacturing computer 201 that is the core of the eyeglass lens manufacturing system of the present embodiment.
- the manufacturing computer 201 inputs a data input unit 203 for inputting various data transmitted from the ordering computer 102, and calculates a visual fatigue function including a relative measurement value as a factor based on the input data.
- Visual fatigue function calculation unit 204 that performs the evaluation function optimization function that uses the function obtained by adding the visual fatigue function at each target evaluation point as an evaluation function, and the convergence condition is not satisfied by the evaluation function
- An evaluation function evaluation unit 206 is provided.
- the manufacturing computer 201 further evaluates each evaluation point with a design data correction unit 207 that corrects design data, for example, lens shape data, when the optical performance needs to be corrected as a result of the evaluation performed by the evaluation function evaluation unit 206.
- a design data correction unit 207 that corrects design data, for example, lens shape data, when the optical performance needs to be corrected as a result of the evaluation performed by the evaluation function evaluation unit 206.
- An optical design value determination unit 208 that determines an optical design value when the processing is completed, and a design data output unit 209 that outputs design data based on the optical design value to the lens processing apparatus 202 are provided.
- the visual fatigue function calculation unit 204 calculates the visual function of the left and right one eye at each target evaluation point.
- the visual fatigue function calculation unit 204 obtains optical performance values such as power error and residual astigmatism and convergence aberration described later for each evaluation point.
- the visual fatigue function calculation unit 204 calculates a visual fatigue function by substituting each calculated value and the input data received by the data input unit 203 into a visual fatigue function formula described below.
- the evaluation function optimization unit 205 adds the calculated visual fatigue function to obtain an optimal optical performance value at each evaluation point from the evaluation function as an evaluation function.
- the evaluation function evaluation unit 206 evaluates whether or not the convergence condition is satisfied by the evaluation function after optimization. Based on the evaluation result of the evaluation function evaluation unit 206, the shape data is corrected or determined. Specifically, when the convergence condition is not satisfied, the design data correction unit 207 corrects the shape data of the spectacle lens so that a desired evaluation function value can be obtained. When the convergence condition is satisfied, the optical design value determination unit 208 determines the design value of the evaluation point. When the convergence condition is satisfied at all the evaluation points, the determined optical design value of the entire lens surface is sent from the design data output unit 209 to the lens processing apparatus 202 shown in FIG.
- the lens processing apparatus 202 for example, a normal spectacle lens manufacturing apparatus that automatically cuts and polishes a lens based on input data of the shape of the front surface, the rear surface, or both surfaces of the lens is used. Since the lens processing device 202 is a well-known device as a spectacle lens manufacturing device, a specific description of the device is omitted.
- FIG. 3 shows an example of a flowchart for implementing the spectacle lens design method according to the present embodiment.
- various data are input by the data input unit 203. That is, data relating to the lens material, shape data based on prescription specifications, center thickness, data relating to the shape of the eyes, face and frame, and relative measurement values are input.
- all measurement values for designing eyeglasses by an eyeglass orderer are individual elements.
- conventional individual elements such as spherical power, astigmatism power, astigmatism axis, prism, prism axis, progressive lens, multifocal lens-specific individual elements (for example, additional force), interpupillary distance, and rear vertex of glasses
- Distance to the corneal apex usually about 14 mm, also referred to as intercorneal apex distance
- distance from the corneal apex to the center of eyeball rotation usually about 13.5 mm
- lens forward tilt angle usually approximated by frame forward tilt angle
- lens tilt angle Normally approximated by frame tilt angle).
- the above-mentioned “relative measurement value” is newly added to the individual elements. Relative measurements are obtained from the orderer for the lens being designed. If some of the relative measured values cannot be obtained, the remaining relative measured values are calculated by the method described later. Even when the relative measurement value cannot be measured at all, the relative measurement value is calculated from the age or the like.
- the visual fatigue function calculation unit 204 sets a binocular target-lens-binocular system.
- This system has a viewing object for optical calculations, a spectacle lens and left and right eyeballs.
- the center of eye rotation does not have to be a fixed point in the eye movement of the system.
- the visual fatigue function calculation unit 204 uses the binocular target-lens-binocular system spectacle design reference point (usually where the lens power appears) as a reference described below.
- the lens shape is set so that a predetermined prescription value at the design reference point is obtained.
- the prescription value and the convergence angle from the center of eyeball rotation to the eyeglass lens in both eyes are calculated. This value is a convergence angle reference value.
- the visual fatigue function calculation unit 204 converts the average power error, residual astigmatism, prism, and eye rotation center from the object-lens-binocular system to the spectacle lens. Calculate the convergence angle. The visual fatigue function calculation unit 204 then obtains the difference between the convergence angle reference value obtained in the second step S2 and the convergence angle at the evaluation point as “convergence aberration”.
- the visual fatigue function calculation unit 204 determines each evaluation point from the sensory fusion area, from the left / right power error, the above-described convergence aberration, and the relative measurement value set in the zeroth step S0. It is classified into the motor comfort area and the visual fatigue area.
- the visual fatigue function calculation unit 204 determines the visual fatigue function at each evaluation point according to the case classification in the fourth step S4, and vergence aberration, average power error and relative measured value, and sensation. It is calculated from the threshold value of sex fusion.
- the visual fatigue function calculation unit 204 adds the weight to the visual fatigue function at all evaluation points over the entire lens surface if necessary. The result of the addition is the evaluation function of the present invention.
- the evaluation function optimizing unit 206 evaluates whether or not the convergence condition is satisfied by the evaluation function using the result of adding the visual fatigue function at each evaluation point as the evaluation function at the time of the optimization calculation.
- the design data correction unit 207 slightly changes the left and right lens shapes so as to correct the optical aberration and the visual fatigue function value including the convergence aberration described above. Steps S2 to S5 in step 2 are repeated.
- the optical design value determination unit 208 determines the design value of the evaluation point. Then, the calculation for the next evaluation point is performed. When calculation is performed for all evaluation points, the process proceeds to a sixth step S6.
- the optical design value determination unit 208 determines whether or not the sensory fusion range near the lens design reference point satisfies a predetermined condition based on the determined optical design value of the entire lens surface. Determine whether. If the predetermined condition is not satisfied (when the determination in the sixth step S6 is “NO”), the flow chart is terminated after predetermined error processing because it is not suitable for the spectacle lens and cannot be designed. When the predetermined condition is satisfied (when the determination in the sixth step S6 is “YES”), the process proceeds to the seventh step S7.
- the optical design value determining unit 208 determines the evaluation based on the visual fatigue function of the spectacle lens and the spectacle lens shape. It will be described that the binocular vision function can be improved through the above steps.
- the three types of binocular vision function, simultaneous vision, fusion, and stereoscopic vision, and binocular vision, the first three are capable of fusion when simultaneous vision is possible, and three-dimensional when fusion is possible It has a structure that can be seen.
- the fusion has a structure that enables sensory fusion when motor fusion is possible.
- binocular vision is related to simultaneous vision, fusion, and stereoscopic vision. This relationship will be described with reference to FIG.
- Eccentricity refers to the viewing angle at which an object other than the fixation point is stretched from the eyeball node when the eyeball does not rotate, that is, when the fixation is in the central fovea of the eyeball.
- Relative visual acuity refers to normalized visual acuity because visual acuity varies among individuals.
- the decimal point visual acuity is used, and the visual acuity at the fixed viewpoint is 1.0.
- the blacked out portions are blind spots.
- the relative visual acuity with respect to the eccentricity is a very sharp curve. From FIG. 4, the range where the decimal point visual acuity is 0.7, which is the boundary of the clear visual region, is approximately 1 °. According to another expression, the decimal point visual acuity becomes 0.7 at 1 ° from the fixed viewpoint. To supplement the explanation, when the eyeball is rotated 1 ° to a subject 1 ° away from the eyeball node, the relative visual acuity is 1.0.
- the threshold is similar to the sensory fusion in the state where the fixation point is viewed simultaneously with both eyes.
- the decimal point visual acuity of one eye is greatly degraded to 0.7 by simply rotating the eyeball of one eye by 1 °.
- the visual acuity of the left and right eyes will be different, and the binocular visual acuity will not increase by about 10%.
- the condition for enabling binocular vision of the binocular vision function is satisfied
- the condition for enabling stereoscopic viewing is also satisfied. That is, the binocular visual acuity is a function in the category of stereoscopic vision, which is the highest function of the binocular vision function.
- the optimization step for improving the evaluation function based on the visual fatigue function is to increase the binocular visual acuity which is the highest function of the binocular vision function by expanding the area of the motor fusion and sensory fusion, and for the above reason.
- a single focus lens has a single prescription convergence angle
- a progressive lens or the like desirably has two distances (for example, a convergence angle of 0, 40 cm, a convergence angle of 1 / 0.4) is a highly accurate measurement value.
- the reason for "preferably" is that, in the case of a relative measurement value at one distance in a progressive lens, a certain degree of age is estimated from the added force, and the relative measurement value at a distance from there is This is because it is calculated by estimation calculation of a relative measurement value from age described later.
- other relative measurements from either real or imaginary relative congestion or both under the following assumptions: calculate.
- the data for calculating the ratio is not limited to the Donders diagram by Hatada shown in FIG. 34.
- the accuracy is more accurate. If there is a material with high, you may adopt it.
- Non-Patent Document 14 H. B. Peters "THE RELASIONSHIP BETWEEN REFRACTIVE ERROR AND VISUAL ACUITY AT THREE AGE LEVELS", Am. J. Optom. Physiol. Opt., 196 (4), (1961) p194-198) Attention is focused on a range in which the value on the horizontal axis of the Peters diagrams by age shown in FIGS. 39 to 41 as the middle graph, that is, the value on the right side of the spherical power origin is 20/20. This range is a value of actual relative adjustment from the measurement method.
- an age-actual relative adjustment relationship with a linear change from 0 to 53.3 and a linear change from 53.3 to 75 is obtained. Since this relationship is based on the measured value at the rear vertex of the lens, correction is performed to match the eye rotation center reference, which is a data reference described later. This correction is very small. Further, the actual relative adjustment in the prescription distance and the prescription vergence angle for each age is created using the above-mentioned age-real relative adjustment relationship. There are currently no actual measured values of the actual relative adjustment at each convergence angle for each age.
- the actual relative adjustment at the convergence angle 0 in FIG. 34 is about ⁇ 2D (diopter).
- ratio (actual relative adjustment calculated above) / ( ⁇ 2).
- the upper limit of the Donders line and the Donders curve is determined by the above-mentioned known age-adjustment relationship.
- FIGS. 6 shows a case of 5-15 years old
- FIG. 7 shows a case of 25-35 years old
- FIG. 8 shows a case of 45-55 years old
- FIG. 9 shows a case of 75 years old.
- Each of them is an area that is 1/3 of the possible range of relative adjustment, and a comfortable area suitable for fusion is calculated and shown as a gray area in the figure. It should be noted that at the age of 75, there is almost no comfort area, and the result is that it hardly appears at the scale of the drawing. This means that the adjustment force becomes zero. Further, the ranges of 15-25 years old, 35-45 years old, and 55-75 years old may be calculated from the averages of FIGS. 5 and 6, FIGS.
- the Donders curve of any given age is a convergence-relative accommodation relationship.
- This relationship is also a congestion-relative congestion relationship of an arbitrary age. From this relationship, it is possible to obtain the actual relative convergence, the imaginary relative convergence, the actual relative adjustment, and the imaginary relative adjustment at an arbitrary convergence angle of an arbitrary age. Even in the case of strabismus, since the relative measurement value is measured in a corrected state in principle, the present invention described above can be applied as it is.
- a threshold value for evaluating sensory fusion is necessary, and for this, Panam's fusional area and eye depth of focus can be considered.
- the quantitative measurement requires precise and careful measurement depending on the fusion stimulation condition as described above.
- the setting method can be arbitrarily selected from known measurement values in consideration of the use conditions of the spectacle lens at the designer's discretion. Specifically, the horizontal and vertical values of the sensory fusion area are shown in Table 1.
- first step S1 target-lens-binocular system setting step
- a first step S1 an object-eyeglass lens-binocular system is set.
- the target is basically the designer's discretion. For this reason, the eyeglass lens performance is designed to be high for any target by the designer.
- the present invention is not limited to any object. The object will be described in detail to clarify the features of the present invention.
- FIG. 44 which is “FIG. 2” of Patent Document 1, and “FIG. 1” of Patent Document 2
- the eyeglass design in which the object is a flat surface is one of the object proposals to be adopted as an eyeglass lens for reading a stretched newspaper, letters on a wall, or the like.
- the target is arbitrarily selected by the designer.
- the distance from the binocular ball is greatly different from the fixed viewpoint other than the fixed viewpoint in the target, so that the power error from the fixed viewpoint, the residual astigmatism, and the prism are difficult to correct simultaneously. There is. As a result, the prism becomes larger. This does not give good results for binocular vision function.
- FIG. 10 shows a desirable object as an object used in the spectacle lens evaluation method of the present invention.
- the following description is based on the image-side gaze line, and the description on the object-side gaze line is the same except for the illustrations and is omitted.
- the right eyeball rotation center 1R and the left eyeball rotation center 1L are set.
- positioning in the horizontal surface 20 containing the binocular rotation center 1L and 1R is shown.
- the midpoint of the binocular rotation centers 1L and 1R is the origin 1 of the coordinate system in the target-glasses lens-binocular system.
- the object 4 is defined on the object spherical surface 5 which is an anterior hemisphere having a radius from the origin 1 to the fixation point 3 as a center.
- the binocular rotation centers 1L and 1R are within the frontal plane. When the object 4 is at infinity, the limit is obtained by increasing the radius of the object spherical surface 5.
- the position of the object 4 is not the viewing angle on the image side from the binocular rotation centers 1L and 1R to the spectacle lens or the viewing angle on the object side from the spectacle lens to the object as in the conventional optical system, but the median passing through the origin 1.
- the angle from line 6 is defined as a variable.
- an arbitrary position of the object 4 is a function of an angle with respect to the midline 6 from the origin 1 of the system.
- This angle ⁇ is defined as the binocular viewing direction.
- the binocular viewing direction ⁇ may be divided into horizontal and vertical directions.
- a straight line connecting the rotation centers of both eyes is defined as an interocular line segment 2.
- the spectacle lens is usually placed between a fixed viewpoint far from the prescription value and the eyeball rotation centers 1L and 1R at that time.
- the spectacle lens has a prescription value at the lens design reference point, and has an arbitrary inclination (forward inclination angle, tilt angle) and eccentricity (vertical eccentricity, horizontal eccentricity) with respect to the horizontal plane and the frontal plane.
- the distance from the rear vertex of the lens to the center of eyeball rotation is usually 27 mm, or from 24 mm to 36 mm, as described in, for example, line 4-5 from the lower right column of page 2 of JP-B-42-9416. is there. It is better to design 27 ⁇ 1 mm or more as an individual element.
- the eyeball rotation centers 1L and 1R move when rotating up and down or left and right, and the distance from the rotation center to the corneal apex changes.
- the left and right eyeballs converge due to adjustment-congestion when viewed from the near side, and the rotation centers 1L and 1R move at that time.
- a phenomenon similar to that of Hering's law is similar in that it has the property of responding to an equal amount of binocular equivalence as in the case of light reflection even when the refractive power of the left and right eyes is different.
- the lens in order to set the design reference point of the eyeglasses of the binocular object-lens-binocular system as a reference for aberration calculation described below, the lens is set so that a predetermined prescription value at the design reference point is obtained.
- the design reference point usually indicates a place where a prescription value appears and is located on the front surface of the spectacle lens, but may be set on the rear surface.
- the design reference point is usually separated into different lens positions such as a far power measurement point, a near power measurement point, and a prism measurement point.
- the lens shape is set so that the prescription value comes out at the design reference point.
- the lens shape is set so as to converge to the prescription value in the process of optimization calculation.
- the spectacle lens may not be orthogonal to the line of sight passing through the design reference point. In this case, a slight aberration occurs due to the inclination at the design reference point, but the prescription value is achieved in an approximate sense.
- FIG. 11 shows a state seen from above the binocular eyes 10L and 10R.
- the gaze lines 13L0 and 13R0 passing through the design reference points 11PL and 11PR of the left eyeglass lens 11L and the right eyeglass lens 11R from the left eye 10L and the right eye 10R are bent by the eyeglass lenses 11L and 11R, and the line-of-sight directions 13L0 ′ and 13R0.
- the object 12 (the object located at the intersection where the gaze lines 13R0 and 13L0 originating from the respective eyeball rotation centers 1L and 1R and passing through the design reference points 11PL and 11PR intersect on the object spherical surface 5 after passing through the lens by using the normal ray tracing method) ) Is positioned on the median plane 7. Even if it is not in the median plane 7, it is achieved while converging in the process of optimization calculation.
- the reason why the object 4 in FIG. 10 and the object 12 in FIG. 11 are different from each other is that the design reference points 11PL and 11PR are usually not on the horizontal plane 20 shown in FIG.
- the projection component in the direction perpendicular to the median plane of the midline of the gaze lines 13L0 and 13R0 of the left and right eyes 10L and 10R is defined as a “plane parallel component” for the convenience of later explanation.
- the component in the direction parallel to the plane parallel to the median plane is defined as “plane normal component”.
- the plane parallel components of the angles formed by the left and right gaze lines 13L0 and 13R0 and the middle lines of the gaze lines 13L0 and 13R0 are defined as ⁇ HL0 and ⁇ HR0 , respectively.
- the respective surfaces perpendicular component of the angle between the left and right fixation line 13L0,13R0 and midline fixation line 13L0,13R0 is, theta VL0, and theta VR0.
- the convergence angle ⁇ CH0 in the plane parallel direction is defined as the sum of ⁇ HR0 and ⁇ HL0 .
- the signs of ⁇ CH0 , ⁇ HR0 , and ⁇ HL0 are arbitrary as long as they are consistent, but in the present invention, all signs are positive values when the eyeball is in a congested state. If the eyeball is divergent, the sign is reversed.
- a surface perpendicular component and theta CV0 defined as the sum of theta VR0 and theta VL0.
- ⁇ CV0 is a positive value in the congested state and a negative value in the spread state.
- ⁇ CH0 ⁇ HR0 + ⁇ HL0
- ⁇ CV0 ⁇ VR0 + ⁇ VL0 It becomes.
- ⁇ CV0 is 0, and the lens shape and design reference point are set so as to be 0.
- FIG. 12 is a diagram illustrating a state in which the viewing angles ⁇ HL0 and ⁇ HR0 defined on the image side in FIG. 11 are changed to the viewing angles ⁇ HL0 ′ and ⁇ HR0 ′ by the gaze lines 13L0 ′ and 13R0 ′ on the object side.
- 13 and 14 are views of FIGS. 11 and 12 viewed from the side, respectively.
- the middle line 13RL0 of the image-side gaze lines 13L0 and 13R0 and the middle line 13RL0 ′ of the object side gaze lines 13L0 ′ and 13R0 ′ are inclined from the median line 6 that passes through the origin 1 and reaches the object 12. Recognize.
- the sign of the normal relative measurement value is based on the target fixation state.
- the sign of the relative adjustment is displayed according to the sign of the inserted lens, and the sign of the motor fusion is displayed according to the direction of the inserted prism and the measured value of the prism diopter.
- a value corresponding to the lens power, that is, minus is displayed.
- the prism is inserted in the base-out direction, the convergence limit value is measured, and the prism power and direction are displayed, that is, the unit is displayed in the base-out with the prism diopter.
- the code is convenient for the measurer.
- the vertical fusion is the ability to move the eyeball in the vertical direction, and the direction of spreading is not observed. The measurement of vertical fusion has only a few examples in the past, and there is no standard value of measurement values.
- the measurement result is simply called “vertical fusion” and is displayed as a positive value.
- the actuality adjustment and the actual convergence are in a mathematically positive direction from the Donders line, but the normal display method is a negative value or a base-out display. Relative measurements are not well represented with the Donders diagram and are not expressed mathematically.
- the negative value of the surface parallel component of the convergence aberration means that the outer prism is worn in front of the eyes. This is the same state as the measurement method of actual relative congestion. Therefore, in the present invention, the actual relative convergence is treated synonymously with the outside of the prism and the negative value. In addition, imaginary relative convergence treats the inside of the prism as synonymous with a positive value.
- the negative value of the average power error is a state in which a spherical negative lens is worn in front of the eyes. This is the same state as the measurement method of the actual relative adjustment.
- Real relative accommodation is expressed as a negative value, which is consistent with the definition of mean power error.
- the average frequency error is a positive value
- the sign of the imaginary relative adjustment coincides.
- the vertical fusion has no sign in the conventional measurement value
- the sign is arbitrary. It is desirable to match the vertical fusion with, for example, the definition of the convergence aberration in the direction perpendicular to the surface. Therefore, it is desirable that the sign for vertical fusion is a negative value when compared with the surface vertical component of the convergence aberration.
- the threshold value in that direction is always 0.
- FIG. 15 shows a schematic configuration of a binocular system in an arbitrary binocular viewing direction. Details of the optical calculation will be described with reference to FIG. An arbitrary position of an object in an arbitrary binocular viewing direction from the origin 1 of the binocular system is set as an evaluation point 22 for the object.
- the left and right binocular rotation centers 1L and 1R are refracted through the evaluation points 11NL and 11NR of the left and right eyeglass lenses 11L and 11R.
- the extended lines of gaze are designated as gaze lines 13L and 13R.
- a case where the intersection point 22 ′ of the gaze lines 13 ⁇ / b> L and 13 ⁇ / b> R is located outside the target spherical surface 5 is shown.
- ⁇ CV of the surface vertical component of the evaluation point 22 can be defined as follows.
- ⁇ CV ⁇ VR + ⁇ VL
- a plane parallel component which is a component in a direction parallel to a plane perpendicular to the median plane including the midline 26 of the gaze lines 13L and 13R and the midline of the gaze lines 13L and 13R at the angle between the gaze lines 13L and 13R.
- the surface parallel component and the surface vertical component of the convergence aberration at the evaluation point 22 are (Vertical parallel component of convergence aberration): ⁇ CH - ⁇ CH0 (Vertical component of convergence aberration): ⁇ CV ⁇ CV0 It is expressed as
- FIG. 16 is a diagram illustrating the convergence angles ⁇ HL ′ and ⁇ HR ′ when defined by the image-side gaze lines 13L ′ and 13R ′.
- the angle between the line of sight lines 13L ′ and 13R ′ and the line of sight lines 13L ′ and 13R ′ is parallel to a plane including the line 27 of the lines of sight 13L ′ and 13R ′ and perpendicular to the median plane.
- the plane parallel component which is the component of the direction is defined as ⁇ HL ′ and ⁇ HR ′
- the vertical direction is the plane vertical component which is the component in the direction parallel to the plane including the midline 27 and parallel to the median plane. It is assumed that VL ′ and ⁇ VR ′.
- the difference between the optical values along the gaze lines 13L and 13R shown in FIG. 15 is the aberration with reference to the optical values along the gaze lines 13L0 and 13R0 shown in FIG. That is, on the basis of the spherical power, the astigmatic power, the astigmatic axis, and the convergence angle calculated in the second step S2, in the third step S3, the power error from the difference between the spherical power, the astigmatic power, and the astigmatic axis is determined. Point aberrations are calculated. Regarding the convergence angle, as described above, the convergence angle (surface) formed by the gaze lines 13L and 13R emitted from the both eyes 10L and 10R with reference to the convergence angle reference value obtained in the second step S2.
- the parallel component defines a difference between ⁇ CH ) obtained by adding ⁇ HR and ⁇ HL in FIG. 15 as convergence aberration. More specifically, it is the difference in convergence angle based on the optical quantity along the principal ray from the object through the design reference point to the center of eyeball rotation in the optical system described in the first step S1.
- the convergence aberration defined in the present invention is different from the normal binocular retinal image difference.
- the convergence aberration is a measurement in front of the eye when the relative measurement value is wearing the corrective glasses. Therefore, the convergence aberration is the aberration of the convergence angle in the right and left correction glasses wearing state according to the measurement state, and the target defined in the binocular viewing direction (any evaluation point on the target spherical surface 5 including the median plane) 22)
- it differs from the binocular retinal image difference in that there is eye movement.
- the terminology for binocular retinal image differences was referred to the Japan Visual Society (ed.), "Visual Information Processing Handbook" (Asakura Shoten (2000) p283-287).
- the convergence aberration defined in the present invention is different from the difference in convergence angle that appears in psychology.
- the “convergence angle” defined in psychology is described, for example, in “Convergence Movement and Binocular Stereopsis” by Koichi Shimono (Optics Vol. 23, No. 1 (January 1994) p17-22). In this description, “the angle formed between the fixation point (intersection of binocular visual axes) and the rotation point (rotation center) of each eye” is used.
- the difference between the convergence aberration and the difference in convergence angle is the aberration of the convergence angle when wearing the right and left correction glasses, the aberration when looking at the object defined in the binocular viewing direction,
- the angle formed by the gaze line passing through the left and right design reference points is used as a reference value for calculating the aberration difference. It can be seen that the value is completely different from the convergence aberration of the present invention defined by the viewing angle of the gaze line that passes through the glasses and reaches the evaluation point.
- Convergence aberration has the following five points as differences.
- the definition should be physiologically appropriate when displaced from the horizontal plane by devising a plane parallel component and a plane vertical component.
- e. Make the target position a three-dimensional definition, not a definition on the plane.
- FIG. 17 shows the horizontal component of “FIG. 2” of Patent Document 3.
- the distance between the binocular rotation centers is PD
- the distance from the binocular rotation center to the plane 59 including the point P is L.
- the point on the target surface 59 and the equally dividing point of the binocular rotation center is defined as q point.
- the point q is an intersection of the surface 59 and the gaze lines Lr and Ll in the front direction emitted from the binocular rotation center.
- the viewing angles of the gaze lines Lr and Ll are ⁇ R and ⁇ L
- the viewing angles of the gaze lines 54 and 55 are ⁇ R and ⁇ L from the gaze lines Lr and Ll, respectively.
- the difference in the horizontal direction which is an amount having no physiological basis, is used as it is as an evaluation function, it can be seen that there are the following problems for evaluating the performance of binocular vision.
- the P point and the q point must be on the same target surface 59 as shown in Zeis's explanatory diagram. Therefore, except for a plane in which the target surface is parallel to the frontal plane, the difference in the horizontal direction cannot be an evaluation method for the entire lens because the reference point changes for each distance to the target. That is, there is no aberration property.
- the object is the same object surface 59 as in the Zeiss patent, it becomes a single reference and has the property of aberration.
- FIG. 1 Ipsilateral binocular momentum theta, a different side of binocular momentum mu, the right eye momentum M R, herring equal innervation law when the left eye momentum and M L can be expressed by the following equation.
- any M R is M L theta, it can be realized in ⁇ in the convergence limit. That is, it is possible to pass the evaluation point 22 in the plane parallel direction by arbitrarily moving the left and right eyeballs by ipsilateral binocular movement and heterolateral binocular movement.
- the eyeball cannot be rotated according to the gaze calculation method of the present invention.
- the vertical movement of the motor fusion is possible by movement, and it is possible by the sensation in the direction perpendicular to the plane of the sensory fusion area. Fusion in the direction perpendicular to the plane is possible involuntarily with a threshold. Therefore, there is no contradiction between the convergence aberration in the vertical direction and the actual gaze line due to the gaze line by the ray tracing method.
- the vertical fusion above the threshold is the surface vertical component of the convergence aberration, it cannot be realized.
- the calculation method based on the gaze by the ray tracing method in the present invention is a means for determining whether it is feasible or not.
- the above power error, residual astigmatism, convergence aberration, and prism value are used as the evaluation point of the object in the binocular viewing direction in the object-glass lens-binocular system (normally binocular vision over the entire surface of the lens). It is calculated as an aberration depending on the direction of 1 to 10 degrees in the direction, and there is a case where there is a gaze line only in one of the left and right, which is also an evaluation point).
- the visual acuity deterioration due to chromatic aberration is proportional to the amount, not the difference between the prisms, so it is used as it is without aberration.
- Convergence aberration is an organic aspect of the living body, for example 150 to 200 ms for convergence latency, about 800 degrees / second for impulsive eye movement at 200 ms, 350 to 400 ms for movement adjustment, and 400 to 450 ms for pupil near-field response.
- vergence which is a combination of vergence and impulsive eye movements during normal gaze movement of the target
- adjustment and pupil near-field responses are constant or almost unchanged compared to vergence and impulsive eye movements. There is no.
- the convergence aberration is an aberration having a higher priority than other aberrations, power errors, and residual astigmatism, except at the intersection line passing through the design reference point, that is, at an arbitrary lens evaluation point.
- the parallax-induced convergence motion is described in detail in TakagiTM, et al. "Adaptive change in dynamic properties of human disparity-induced vergence", Invest Ophthalmol. Vis Sci, 42, (2001) p1479-1486. That is, between the target 12 in FIG. 11 and the target 22 in FIG. 15, since the suppression at the time of jumping is not visible, there is a short time difference relationship, and the aberration relationship is established.
- the classification of the comfort area or the visual fatigue area is determined by determining whether the power error and the convergence aberration obtained in the third step S3 are within 1/3 of the relative adjustment, relative convergence, and vertical fusion.
- a diopter is used as a unit of the frequency error.
- the convergence aberration defined in the present invention is expressed in units of convergence angle, such as meter angle (MA), minute unit (arcmin), prism diopter (symbol ⁇ ), or the like.
- meter angle (MA) is used for both relative convergence and vertical fusion.
- whether or not it is a sensory fusion area is determined by whether or not the power error and the convergence aberration are within the Panum fusion area and the depth of focus, respectively.
- Relative measurements are affected by many factors. Relative measurements may vary due to, for example, brightness, convergence, static adjustment, dynamic adaptation, spatial frequency of the measurement object, and the like. Therefore, it should be measured under the same conditions as the main spectacle use environment.
- motor fusion and sensory fusion have spatial anisotropy. Therefore, it differs depending on the eye position, that is, the first eye position, the second eye position, and the third eye position. Particularly in the third eye position, when the eyeball moves according to the listing rule, the horizontal axis of the eyeball is not parallel to the plane including the midline of the gaze lines 13R and 13L and the interocular line segment 2 in FIG. Therefore, the relative shape of the binocular vision and sensual fusion, relative convergence, vertical fusion, and the area shape of the Panum's fusion area are slightly different logically and mathematically.
- the eye movement slightly differs between the ipsilateral binocular movement and the heterolateral binocular movement in the third eye position.
- the eyeball rotation occurs simultaneously with the movement according to the listing rule, the logical and mathematical consequences up to now will no longer hold. It is considered that the above measurement of the deformation of the region shape has not been performed at the time of filing this application. Therefore, in the present invention, the relative measurement values of the first eye position are represented by the relative measurement values of the other eye positions.
- the motor fusion area and sensory fusion area have been measured by many researchers and are shown in Tables 1 and 2. Note that these results are reference values because they depend on conditions such as the target spatial frequency, target distance, age, eye position, and so on, and have very large individual differences. However, it can be understood from these results that the motor fusion and the sensory fusion generally differ by about 10 times in the horizontal direction and by about 5 times in the vertical direction.
- the horizontal axis is the relative convergence (or convergence angle)
- the vertical axis is the vertical fusion of the motor fusion
- the depth axis is relative (or simply adjusted). ) Is assumed.
- 1/3 of the actual relative convergence and 1/3 of the imaginary relative convergence are set as threshold values and compared with the plane parallel component of the convergence aberration. If the plane parallel component of the convergence aberration is within the threshold of 1/3 of the actual relative convergence and 1/3 of the imaginary relative convergence, the horizontal axis is within the mobility comfortable region.
- the vertical fusion is compared with the surface vertical component of the convergence aberration using the vertical fusion as a threshold value.
- each axis is related to each other. For example, a region within a polyhedron having a relative measurement value as a vertex means a mobility comfortable region.
- the threshold value in the diverging direction is 0 on the vertical fusion axis. Accordingly, the total number of relative measurement values is five, and the within the closed curved surface of the pentahedron is the comfortable mobility region. In addition, it is estimated that the vertex is not an exact polyhedron but an ellipsoid because of the living body.
- the above closed surface is specifically expressed by an expression.
- each character COMH, COMV, COMR, COML, COMD is defined as a convergence aberration and a power error as a coefficient with respect to a relative measurement value
- the area is divided into a comfortable area and a visual fatigue area inside and outside the closed curved surface in AREA1. being classified.
- the classification of whether or not it is a sensory fusion area is determined based on the following conditions. That is, the plane parallel component of the convergence aberration is within the plane parallel component of the Panum fusion area, and the surface perpendicular component of the convergence aberration (the component parallel to the median plane of the Panum fusion area) is the plane of the Panum fusion area. If it is within the vertical component and at the same time the power error is within the depth of focus, it is determined that it is a sensory fusion area. If at least one of the above threshold values is not satisfied, it is possible to make a region of the motor fusion.
- the sensory fusion zone has no eye movement by definition.
- the sensory fusion area does not have asymmetry in the horizontal, vertical, and depth directions like the motor fusion area, and forms a substantially octahedron or a closed curved surface that is almost elliptical when viewed from any axis. To do.
- 1 ⁇ 2 of the plane parallel component perpendicular to the median plane of the Panam fusion zone is defined as the convergence angle sensory fusion threshold.
- the convergence aberration a plane parallel component that is a projection component onto a plane perpendicular to the median plane is obtained, including the midline of the gaze line from which the convergence angle of the evaluation point was obtained.
- the size of the value of the plane parallel component of the convergence aberration and the sensory fusion threshold value of the convergence angle is set as a judgment condition for the sensory fusion of relative convergence.
- half the depth of focus is defined as the sensory fusion threshold for adjustment.
- the magnitude of the average power error at the evaluation point and the adjustment sensory fusion threshold is used as a judgment condition for the relative adjustment sensory fusion.
- the sensory fusion threshold for vertical fusion On the axis of vertical fusion of the motor fusion, 1 ⁇ 2 of the plane vertical component parallel to the median plane of the Panam fusion zone is defined as the sensory fusion threshold for vertical fusion.
- a surface normal component which is a projection component onto a plane parallel to the median plane, including the midline of the gaze line for which the vergence angle of the evaluation point has been obtained is obtained.
- the magnitude of the value of the surface vertical component of the convergence aberration and the sensory fusion threshold value for vertical fusion is used as a judgment condition for sensory fusion for vertical fusion.
- the above-described closed curved surface is specifically expressed by an expression.
- SENH, SENV, SENR, SENL, and SEND is defined as the following as a coefficient of convergence aberration and power error with respect to the relative measurement value, the sensory fusion area and other areas inside and outside the closed surface in AREA2 (For example, a motor comfort zone).
- PanumH, PanumV, and PanumD are 1 ⁇ 2 of the horizontal component, 1 ⁇ 2 of the vertical component, and 1 ⁇ 2 of the depth of focus in the fusion area of the Panam in the fovea.
- step S5 evaluation function calculation step
- the sensory fusion area, the motor comfort area, and the visual fatigue area were classified at the evaluation points.
- the visual fatigue function at each evaluation point is added according to each classification to calculate the evaluation function.
- the relationship between the evaluation function and the visual fatigue function is as follows. That is, the function obtained by squaring the visual fatigue function including the relative measurement value as a factor at the target evaluation point and adding it is used as the evaluation function at the time of the optimization calculation. This relationship is expressed using the following equation (1).
- W i represents the weight at the i-th evaluation point of the object expressed in the binocular viewing direction.
- the subscript i means the i-th evaluation point
- n means the number of evaluation points that pass through at least one of the left and right lenses from each evaluation point.
- the weight changes in accordance with the lightness of use at each position (evaluation point) in the spectacle lens.
- the design reference point has a large weight and the periphery of the lens is small.
- the normal frame is deformed by heat, spectacles pliers or the like according to the lens.
- there are also frames that cannot be deformed i.e., frames that define the lens shape.
- the weight W i around the lens is reduced to facilitate deformation.
- the weight of deformation is large at the design reference point and small at the periphery of the lens.
- I of the visual fatigue function i is the visual fatigue function of the i-th evaluation point.
- Visual fatigue function i evaluation point i is sensory fusion image area, motility comfort area, the following equation in accordance with the visual fatigue region.
- the visual fatigue function i 0.
- the visual fatigue function i the common logarithm of FUNC.
- the maximum visual fatigue function value obtained from both eyes is substituted, or the visual acuity function including the visual acuity function in Patent Document 1, the residual distortion aberration, and the chromatic aberration in Patent Document, which is a monocular aberration, is used. Since this monocular range is exclusive from the binocular viewing range even during the optimization calculation, it can be used without adverse effects such as aberration distribution even in addition to the evaluation function.
- the left and right lens shapes are slightly changed, and the second step S2 to the fifth step S5 are repeated to calculate the minimum value by the optimization calculation.
- the set value of the evaluation point is determined. Then, the process proceeds to calculation of the next evaluation score.
- the process proceeds to a sixth step S6.
- the lens shape obtained in the fifth step S5 is examined. Especially when the sensory fusion area in the vicinity of the lens design reference point is small, the eyeball must always move and cannot rest. Therefore, visual fatigue tends to occur, and it is not suitable as eyeglasses. Specifically, for example, about 5 degrees or more in the binocular viewing direction is desirable. When projected onto the lens, the diameter is, for example, about 5 mm or more around the design standard point. That degree of breadth is necessary even for stable prescription measurements at the design standard point of spectacle lenses.
- the process proceeds to the seventh step S7.
- the seventh step S7 the shapes of the left and right eyeglass lenses are determined.
- the spectacle lens according to the embodiment of the present invention can be provided by performing normal lens processing based on the optical design value.
- Example 1 Example of astigmatism power 0D
- Example 1 a calculation example related to visual fatigue when both the right and left spectacle lenses have a spherical power of ⁇ 4D and an astigmatism power of 0D will be described.
- the calculation results are shown in FIGS.
- This example is an example of evaluation of a single-focus spectacle lens, and optimization calculation is not repeatedly performed.
- the object was an anterior hemisphere with an infinite radius centered on the origin 1 in the viewing direction in the coordinate system described in the above-described embodiment. That is, it was evaluated by far vision.
- the spectacle lens is a general-purpose double-sided aspheric lens, and is well corrected by the visual acuity function disclosed in Patent Document 2.
- the forward tilt angle, tilt angle, and lens eccentricity of the lens are set to zero.
- the distance from the top of the cornea to the center of eyeball rotation was 27.7 mm
- the Abbe number was 32
- the lens diameter was 75 mm
- the interpupillary distance was 62 mm.
- the relative measurement value was the average value of 30 years old.
- the actual relative vergence, the imaginary relative vergence, the actual relative adjustment, the imaginary relative adjustment, and the vertical fusion at 30 years old are -1.7 MA, 0.75 MA, -1.58 D, 0.5 D, and -0, respectively. .65 MA was adopted.
- FIG. 18 to FIG. 21 are a set of 4 sheets, and illustrate the following evaluations at each evaluation point of the lens, and all the horizontal axis and the vertical axis are the binocular viewing directions.
- the horizontal axis is the horizontal direction
- the vertical axis is the vertical direction.
- the unit is angle.
- 18 shows the convergence aberration in the plane parallel direction
- FIG. 19 shows the convergence aberration in the plane vertical direction. 18 and 19, both units are prism diopters.
- FIG. 20 shows a fused state through the eyeglass lenses of both eyes.
- the highest annular region in FIG. 21 shows the distribution of visual fatigue region, the region of the inclined surface inside the gray region shows the distribution of the motor comfortable region, and the planar region inside the inclined surface region shows the sensory fusion region. Each distribution is expressed.
- FIG. 21 shows visual fatigue function values. There is no unit. From FIG. 18 and FIG. 19, both the plane parallel component and the plane vertical component of the convergence aberration are extremely small at about 0.005 ⁇ or less in most regions. Therefore, the fusion state shown in FIG. 20 occupies almost the entire region in the binocular viewing direction with the sensory fusion region. For this reason, the visual fatigue function shown in FIG. Although not shown here, the central portion close to the design reference point has a visual acuity function of 0 for both the left and right eyes, and has a negative value due to the relationship that the condition for fusion, that is, binocular vision is established.
- Example 2 (example of left and right spherical surface power difference of ⁇ 2D or more)
- an eyeglass lens which is generally defined as indistinct (left and right-2D or more)
- the right spectacle lens has a spherical power of ⁇ 4D and an astigmatism power of 0D, that is, the right spectacle lens is the same as the lens used in Example 1 above.
- the left spectacle lens had a spherical power of ⁇ 6D and an astigmatism power of 0D, and the other conditions were the same as those in Example 1.
- This example is also an example of the evaluation of the spectacle lens, and the repeated calculation of optimization is not performed.
- FIG. 1 example of left and right spherical surface power difference of ⁇ 2D or more
- FIG. 22 shows the convergence aberration in the plane parallel direction
- FIG. 23 shows the convergence aberration in the plane vertical direction
- FIG. 24 shows the state of fusion through the binocular spectacle lens
- FIG. 25 shows the visual fatigue function value. The units are the same as those in FIGS.
- the fusion state shown in FIG. 24 is about 4 degrees when the effective viewing angle of the sensory fusion area is calculated according to Japanese Patent No. 4158906, and is certainly a narrow visual field. It becomes narrower than 5 degrees and cannot be designed, so it is not suitable for normal use. It can be said that the sensory fusion area in the center is small and the eyeball cannot keep a resting state. As a result, it has been proved that eyeglass lenses having a ⁇ 2D difference between the left and right are prone to visual fatigue.
- the lens shape examination process in the above-described sixth step S6 is classified as having a small sensory fusion area.
- the non-homogeneous lens has been discussed in terms of magnification, but it has raised the problem that visual fatigue may occur because the sensory fusion area becomes smaller due to convergence aberration.
- the comfortable area represents anisotropy due to the difference between the horizontal component and the vertical component of the relative measurement value.
- the visual fatigue function shown in FIG. 25 is a limit for a regular lens because of a sensory fusion area and a comfort area in a narrow range.
- Japanese Patent No. 4158906 the visual angle of the comfortable area is calculated to be 32 degrees, which is a narrow visual field.
- Example 3 (example with a tilt angle of 20 degrees) As Example 3, the convergence aberration when the frame has a tilt angle was calculated.
- the spherical power, the astigmatic power, and other conditions are the same as those of the lens used in Example 1, and the tilt angle is set to 20 degrees in order to evaluate the effect of the tilt angle.
- FIG. 26 shows the convergence aberration in the plane parallel direction
- FIG. 27 shows the convergence aberration in the plane vertical direction.
- FIG. 28 shows a state of fusion through a binocular spectacle lens
- FIG. 29 shows a visual fatigue function value. The units are the same as those in FIGS.
- This example is characterized in that the surface parallel direction of the convergence aberration shown in FIG. 26 is very large compared to the surface vertical direction shown in FIG. Therefore, when the effective viewing angle of the sensory fusion area in the fusion state shown in FIG. 28 is calculated, it is 0 degree. It is worse than Example 2 and not suitable for use. There is no comfort area. Therefore, it is not so much that you are looking forward, but you can expect to feel awkward if you walk or look at the eyes without moving your head to see the surroundings. This is because the range in which there is no sense of depth in the binocular viewing direction is large. As described above, the evaluation method according to the present invention enables quantification by considering the sense of incongruity as a decrease in the sensory fusion area and the motor comfort area.
- the comfortable region is visually at 0 degrees.
- the lens is very fatigued without a sensory fusion region. It can be seen that the visual fatigue is much worse than the non-homogeneous lens, and the influence on the glasses of the angle is very large.
- Example 4 (Example in which the spectacle lens of Example 3 is optimized)
- the spherical power, astigmatic power, and tilt angle conditions were the same as in Example 3.
- the lens shape is optimized by using a function obtained by adding the visual fatigue function at all lens evaluation points as an evaluation function. That is, the second step S2 to the fifth step S5 were repeatedly calculated, and the evaluation function was minimized by changing the convex and concave shapes of the spectacle lens.
- FIGS. FIG. 30 shows the convergence aberration in the plane parallel direction
- FIG. 31 shows the convergence aberration in the plane vertical direction
- FIG. 32 shows the state of fusion through the binocular spectacle lens
- FIG. 33 shows the visual fatigue function value.
- the units are the same as those in FIGS.
- both the surface parallel direction and the surface vertical direction of the convergence aberration shown in FIGS. 30 and 31 are greatly improved as compared with Example 3.
- the fusion state shown in FIG. 32 is greatly improved, and the effective viewing angle of the sensory fusion area is 18 degrees.
- both the motility comfort area (black area) and the sensory fusion area (white area) are widened.
- the viewing angle of the comfortable region of the visual fatigue function shown in FIG. 33 is 61 degrees. It is said that binocular vision with a spectacle lens, HMD, etc. is 55 degrees. Therefore, binocular vision as spectacles is possible.
- the anisotropy is moderated. That is, the convergence aberration is improved by the optimization using the evaluation function proposed in the present invention. For this reason, the fused state has been greatly improved, and the glasses can be sufficiently used.
- the present invention it is possible to quantitatively evaluate the binocular vision function of the spectacle lens by using the visual fatigue function including the relative measurement value, and therefore it is possible to improve the fusion performance of the binocular vision function. became. In addition, since it can be estimated how much visual fatigue occurs before wearing, it is effective in reducing wearing risk.
- the present invention is not limited to the configuration described in the above-described embodiment, and various modifications and changes can be made without departing from the configuration of the present invention.
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Abstract
Description
Vol.17,No.2,101-112,2005)に記載されているように、運動性融像、視覚疲労(眼精疲労)に相関が深い。相対測定値が少ないと疲労の原因となっている。本発明者はこのことに着目し、輻輳収差と度数誤差が相対測定値の1/3を超えない設計とされた眼鏡レンズは装用者にとって快適となることに気づいた。ここで、輻輳収差は、眼鏡レンズの設計基準点を通過する注視線の輻輳角である輻輳角基準値との差と定義される。このため、本発明においては、設計しようとしているレンズに合わせて発注者から相対測定値を得る。もし相対測定値が実性相対輻輳か虚性相対輻輳のいずれか又は両方のみの場合、他の値は、実性相対輻輳か虚性相対輻輳のいずれか又は両方より算出する。発注者から相対測定値が得られない場合は、後述するよう年齢からの計算により相対測定値を概算してもよく、これを相対測定値として用いることも本発明の範疇に属する。このようにして得た相対測定値を上述したように評価関数に取り入れて評価・設計を行うことで、眼鏡レンズの両眼視機能の向上を図ることができる。
〔1〕眼鏡レンズの製造システム、製造方法の実施の形態
〔2〕眼鏡レンズの設計方法の実施の形態
〔3〕実施例
先ず、本発明の眼鏡レンズの製造システム及び製造方法の実施の形態について説明する。図1は、本実施形態に係る眼鏡レンズの製造システムの概略構成図である。図1に示すように、このシステム500では、眼鏡店100側は、眼鏡レンズ注文者の視力や相対測定値を測定する測定装置101と、測定装置によって測定された値を含む各種の情報を入力し、眼鏡レンズの発注に必要な処理を行う機能を有する発注側コンピュータ102とを有する。
次に、上述した製造側コンピュータ201におけるデータ入力部、視覚疲労関数計算部、評価関数最適化部について詳細に説明する。上述の機能のうち、通信、計算における光線追跡等、最適化に関しては既述したため新たな説明は省く。
(1)設計方法の各ステップの概要
本実施形態にかかる眼鏡レンズの設計方法を実施するフローチャートの一例を図3に示す。先ず、第0のステップS0において、データ入力部203による各種データの入力が行われる。すなわちレンズの素材に関するデータと、処方に関する仕様に基づく形状データと、中心厚と、眼や顔及びフレームの形状に関するデータと、相対測定値が入力される。
(2)第0のステップS0の詳細な説明(相対測定値の算出工程)
発注者から得た相対測定値についてさらに説明する。今後眼鏡を装用時、眼鏡と眼球回転中心の間を像側、眼鏡と対象の間を対象側と呼ぶ。像側と対象側の相対測定値は、それぞれ近似的に比例係数がレンズ度数に依存する比例関係にあるため、対象側の値はレンズの形状により変化する。そのため、本発明では、像側の注視線による相対測定値がより望ましい。通常測定は矯正状態で測定されるため、眼鏡の度数依存がある。より精密な測定値を得るためには、すでに記載した「Fryによる補正」法がある。
次に、第1のステップS1として、対象-眼鏡レンズ-両眼球システムを設定する。対象は、基本的には設計者の任意である。そのため設計者による任意の対象で眼鏡レンズ性能が高くなるように設計されている。いかなる対象であっても本発明を限定するものではない。本発明の特徴を明確にするため対象について詳述する。
第2のステップS2では、両眼の対象-レンズ-両眼球システムの眼鏡の設計基準点を以下に記述する収差算出の基準にするために、設計基準点における所定の処方値が出るようにレンズ形状を設定する。なお、設計基準点とは通常、処方値が出るところを示し、眼鏡レンズ前面にあるが、後面に設定する場合もある。累進レンズでは、設計基準点が、遠方度数測定点、近方度数測定点、プリズム測定点等別々のレンズ位置に分離していることが通常である。また単焦点レンズで近方レンズの場合も、原則、対象上の固視点から近方度数測定点を通って眼球回転中心にいたる主光線で光学計算の諸量を計算する。その一方で、簡易的に瞳孔間距離(PDという)から2mm減らして近見PDとして視点とし処方するときもある。
θCH0=θHR0+θHL0
θCV0=θVR0+θVL0
となる。通常θCV0は0であり、0となるようにレンズ形状、設計基準点を設定する。
なお、像側での定義同様、対象側でも、
θCH0’=θHR0’+θHL0’
θCV0’=θVR0’+θVL0’
が得られる。
第2のステップS2で説明した両眼システムの光学計算等の定義をさらに詳述し任意のレンズ評価点の光学評価を行う。本発明では対象距離が無限大の両眼システムは、近方両眼システムの対象距離を無限大にしたものと定義した。従って、図示が可能となる。任意の両眼視方向の両眼システムの概略構成を図15に示す。図15を参照して光学計算の詳細を説明する。両眼システムの原点1から任意の両眼視方向の対象の任意の位置を対象の評価点22とする。光線追跡法の使用により左右両眼回転中心1L、1Rから発し左右眼鏡レンズ11L、11Rの評価点11NL、11NRを通過して屈折し、対象の評価点22を通る注視線のうち、像側の注視線の延長線を注視線13L、13Rとする。なお、図示の例では、注視線13L、13Rの交点22’が対象球面5の外側に位置する場合を示す。注視線13L’と13R’との交点が1回の試行で評価点22を通過できなくても、眼球回転中心1L、1Rから発する光線の角度を少しずつ変更し、評価点22で収束する光線を必要な精度で計算することが可能である。
θCH=θHR+θHL
同様に、評価点22の面垂直成分の輻輳角θCVは、下記のように定義できる。
θCV=θVR+θVL
ここで、注視線13L及び13Rの中線26と注視線13L及び13Rが挟む角の注視線13L及び13Rの中線を含み正中面に垂直な面に対し平行な方向の成分である面平行成分をθHL、θHRとし、垂直方向は同様に中線を含み正中面に平行な面に対して平行な方向の成分である面垂直成分をθVL、θVRとする。
(輻輳収差の面平行成分):θCH-θCH0
(輻輳収差の面垂直成分):θCV-θCV0
と表わされる。
θCH’=θHR’+θHL’
θCV’=θVR’+θVL’
より、
(輻輳収差の面平行成分):θCH’-θCH0’
(輻輳収差の面垂直成分):θCV’-θCV0’
と表わされる。
a.両眼視の運動法則であるヘリングの等神経支配法則のバーゼンス(異側性両眼運動)、すなわち輻輳運動より導かれる生理学的知見に基づいた定義であること。
b.両眼視方向により定義された任意の対象が可能なこと。
c.評価基準が1つであるために、視野全域で同一基準の評価ができること。
d.成分に分割した場合、面平行成分、面垂直成分の考案により水平面から変位した場合に生理学的に適切な定義となっていること。
e.対象の位置を平面上の定義ではなく立体的な定義とすること。
ΔPH=L×tan(αR+ΔαR)-L×tan(αL+ΔαL)-PD
と表わされる。また両眼球回転中心間距離PDは、(αR)、(αL)、Lを使うと以下の関係を持つ。
PD=L×tan(αR)-L×tan(αL)
水平方向差は、水平方向位置差を対象距離Lで割ると記載されているため、次式が成立する。
水平方向差=tan(αR+ΔαR)-tan(αL+ΔαL)-PD/L
PDを代入すると、
水平方向差=tan(αR+ΔαR)-tan(αL+ΔαL)-(tan(αR)-tan(αL))
となる。
水平方向差≒ΔαR-ΔαL
したがって、特許文献3の「水平方向差」は、視野中心部のごく限られた狭小領域では、注視線LrとLlとがなす輻輳角を基準にして、同一面59の点Pを見たときの輻輳角の変化を表現している。しかし、これは、(ΔαR),(ΔαL)が大きい中心部以外の領域では輻輳角とは無関係の量となり、いわば生理学的な根拠を持たない値となる。
1.P点とq点がツァイスの説明図の様に同一の対象面59になくてはならない。そのため、対象面が前額面と平行な平面以外、水平方向差は、基準点が対象までの距離ごとに変化してレンズ全体の評価法となりえない。すなわち収差の性質はない。
2.対象がツァイス特許のように同一対象面59であった場合は単一の基準となり、収差の性質を持つ。ところが、(αR)、(αL),(ΔαR),(ΔαL)が大きくなった場合、タンジェントには角度に対する非線形の性質があるため、角度の差ΔαR-ΔαLで表現される輻輳角と合わなくなる。そのため、水平方向差は、視野周辺部で生理学的な根拠を持たない。
3.同様のことであるが、注視線14,15が水平面から偏位したとき本来の輻輳角とも異なってくる。
以上説明した特許文献3の定義によれば、対象全面一律の定義となりえず、視野周辺部で生理学的な根拠を持たない評価関数となる。生理的根拠のない人工的な定義を用いて両眼視機能の評価をするのは不適切である。
θ+μ/2=MR
θ-μ/2=ML
すると眼球の開散、輻輳限界内で任意のMR、MLがθ、μで実現可能となる。すなわち、同側性両眼運動と異側性両眼運動により左右眼球を任意に動かすことにより、面平行方向では評価点22を通ることが可能である。
快適領域か視覚疲労領域かの分類は、第3のステップS3で得られた度数誤差と輻輳収差がそれぞれ相対調節、相対輻輳、垂直融像よせの1/3以内か否かで判断する。なお、度数誤差の単位はディオプターを用いる。また本発明で定義する輻輳収差は、輻輳角単位とし、メーター角(M.A.)や分単位(arcmin)、又はプリズムディオプター(記号ではΔ)等である。但し、相対調節と値をそろえる時は、相対輻輳、垂直融像よせともメーター角(M.A.)を使用する。同様に感覚性融像域か否かは、度数誤差と輻輳収差がそれぞれパナムの融像域、焦点深度以内か否かで判断する。
輻輳収差の水平成分が正値のときのCOMH
COMH=輻輳収差の面平行成分/(虚性相対輻輳の1/3)
輻輳収差の水平成分が負値ときのCOMH
COMH=輻輳収差の面平行成分/(実性相対輻輳の1/3)
COMV=輻輳収差の面垂直成分/(垂直融像よせの1/3)
度数誤差が正値のときのCOMR
COMR=右眼の度数誤差/(虚性相対調節の1/3)
度数誤差が負値のときのCOMR
COMR=右眼の度数誤差/(実性相対調節の1/3)
度数誤差が正値のときのCOML
COML=左眼の度数誤差/(虚性相対調節の1/3)
度数誤差が負値のときのCOML
COML=左眼の度数誤差/(実性相対調節の1/3)
COMD=COMR、COMLの大きい方
AREA1=COMH,COMV,COMDを因子とする2乗和の平方根
このAREA1が1より小さいと快適領域に分類され、1より大きいと視覚疲労領域に分類される。
SENH=輻輳収差の面平行成分/PanumH
SENV=輻輳収差の面垂直成分/PanumV
SENR=(右眼の度数誤差/PanumD)の絶対値
SENL=(左眼の度数誤差/PanumD)の絶対値
SEND=SENR、SENLの大きい方
AREA2=SENH,SENV,SENDを因子とする2乗和の平方根
このAREA2が1より小さいと感覚性融像域に分類され、1より大きく視覚疲労領域でもない場合には運動性快適領域に分類される。ここでPanumH,PanumV,PanumDは中心窩でのパナムの融像域の水平成分の1/2、垂直成分の1/2、焦点深度の1/2である。
第4のステップS4では、評価点において、感覚性融像域、運動性快適領域、視覚疲労領域の分類を行った。第5のステップS5では、それぞれの分類に応じて各評価点での視覚疲労関数を加算し評価関数を算出する。
感覚性融像域では、視覚疲労関数i=0である。
運動性快適領域、視覚疲労領域では、視覚疲労関数i=FUNCの常用対数である。具体的には、
輻輳収差の面平行成分DFhが正値なら
VFH=(DFh-PanumH)/(虚性相対輻輳の1/3-PanumH)
輻輳収差の面平行成分DFhが負値なら
VFH=(DFh+PanumH)/(実性相対輻輳の1/3+PanumH)
輻輳収差の面垂直成分DFvが常に負値
VFV=(DFv+PanumV)/(垂直融像よせの1/3+PanumV)
右眼の度数誤差PowRが正値なら
VFR=(PowR-PanumD)/(虚性相対調節の1/3-PanumD)
右眼の度数誤差PowRが負値なら
VFR=(PowR+PanumD)/(実性相対調節の1/3+PanumD)
左眼の度数誤差PowLが正値なら
VFL=(PowL-PanumD)/(虚性相対調節の1/3-PanumD)
左眼の度数誤差PowLが負値なら
VFL=(PowL+PanumD)/(実性相対調節の1/3+PanumD)
VFD=VFRとVFLの大きい方
DVF=VFH,VFV,VFDを因子とする2乗和の平方根
パナム融像域の閉曲面上を0、相対測定値の閉曲面上を1にするため関数FUNCを以下のように設定する。
FUNC=9×DVF+1
ここで、多くのウエーバー則に習い、運動性快適領域、視覚疲労領域に対応する評価点iの視覚疲労関数iは、次式の通りとなる。
視覚疲労関数i=FUNCの常用対数
なお、PanumH,PanumV,PanumDは中心窩でのパナムの融像域の水平成分の1/2、垂直成分の1/2、焦点深度の1/2である。視覚疲労関数は、左右の注視線からの輻輳収差と度数誤差によって計算される。しかし、一方しか注視線がなく視覚疲労関数を計算できない範囲も僅かに存在する。その場合は、両眼から得た最大の視覚疲労関数値で代用するか、単眼の収差である、特許文献1における視力関数、残留歪曲収差、特許文献の色収差を含んだ視力関数を使用する。この単眼範囲は、両眼視範囲と最適化計算中でも排他であるため、評価関数に加えても収差の配分等の悪影響がなく使用できる。
ここでは、第5のステップS5で得られたレンズ形状を吟味する。特にレンズ設計基準点の付近での感覚性融像域が小さいと、常時眼球が運動しなくてはならず、休むことがない。そのため視覚疲労が起こりやすく、眼鏡として適切ではない。具体的には両眼視方向で例えば約5度以上が望ましい。レンズに投影すると設計標準点を中心に直径で例えば約5mm以上となる。眼鏡レンズの設計標準点の安定した処方測定でもその程度の広さは必要である。したがって、例えば5度、または5mmの条件を満たさない場合(第6のステップS6における判断が「NO」の場合)は、眼鏡レンズとして適さないと判断し設計不可とし、本フローチャートが終了する。当該条件を満たしている場合(第6のステップS6における判断が「YES」の場合)は、処理を第7のステップS7に進める。第7のステップS7では、左右の眼鏡レンズの形状が決定する。
次に、上記実施の形態に係る眼鏡レンズ評価方法で評価した実施例について説明する。(1)実施例1
この例では、左右眼鏡レンズとも球面度数-4D、乱視度数0Dとする場合の視覚疲労に関連する計算例を挙げる。計算結果を図18~図21に示す。この例は、単焦点眼鏡レンズの評価の例であり、最適化の繰り返し計算が行われていない。対象は、上述の本実施形態において説明した座標系における視方向の原点1を中心とする半径無限大の眼前半球面とした。すなわち遠方視で評価したものである。眼鏡レンズは汎用の両面非球面レンズであり、特許文献2による視力関数により良く補正されている。本発明による評価方法の効果を明確にするため、レンズの前傾角、あおり角、レンズの偏心は0にしている。角膜頂点から眼球回転中心までの距離は27.7mmであり、アッベ数32、レンズ径は75mm、瞳孔間距離は62mmとした。相対測定値は30才平均値を使用した。30才での実性相対輻輳、虚性相対輻輳、実性相対調節、虚性相対調節、垂直融像よせはそれぞれ-1.7MA、0.75MA,-1.58D,0.5D、-0.65MAを採用した。
実施例2として、一般に不同視の定義(左右―2D以上)とされる眼鏡レンズの評価を行なった。この例では、右用眼鏡レンズの球面度数-4D、乱視度数0Dとし、すなわち右用眼鏡レンズは上記実施例1で使用したレンズと同じとした。一方、左用眼鏡レンズは球面度数-6D、乱視度数0Dとし、その他の条件は、上記実施例1と同じとした。この例でも眼鏡レンズの評価の例であり、最適化の繰り返し計算は行っていない。図22は、面平行方向の輻輳収差を示し、図23は、面垂直方向の輻輳収差を示す。図24は、両眼の眼鏡レンズを通した融像状態を示し、図25は、視覚疲労関数値を示す。単位はそれぞれ図18~図21と同様である。
実施例3として、フレームにあおり角がある場合の輻輳収差を計算した。球面度数、乱視度数やその他の条件は、上記実施例1で使用したレンズと同じとし、あおり角の効果がどの程度あるか評価するために、あおり角を20度付けている例である。この例でも眼鏡レンズの評価の例であり、最適化の繰り返し計算は行っていない。図26は、面平行方向の輻輳収差を示し、図27は、面垂直方向の輻輳収差を示す。図28は、両眼の眼鏡レンズを通した融像状態を示し、図29は、視覚疲労関数値を示す。単位はそれぞれ図18~図21と同様である。
実施例4として、前記実施例3と球面度数、乱視度数、あおり角の条件は同じとした。ただし、視覚疲労関数を全レンズ評価点で加算した関数を評価関数として、レンズ形状の最適化を計っている。すなわち、第2のステップS2~第5のステップS5の繰り返し計算を行い、眼鏡レンズの凸、凹形状を変えて評価関数の最小化を行った。この結果を図30~図33に示す。図30は、面平行方向の輻輳収差を示し、図31は、面垂直方向の輻輳収差を示す。図32は、両眼の眼鏡レンズを通した融像状態を示し、図33は、視覚疲労関数値を示す。単位はそれぞれ図17~図20と同様である。
Claims (12)
- 両眼視機能に係る個別の測定値である実性相対輻輳、虚性相対輻輳、実性相対調節、虚性相対調節、垂直融像よせを相対測定値とするとき、少なくとも前記実性相対輻輳か虚性相対輻輳のいずれか又は両方を個別の相対測定値として含み、
前記相対測定値を因子として含む視覚疲労関数を対象の各評価点で加算した関数を最適化計算時の評価関数とすることにより両眼視機能を最適化して、眼鏡レンズの光学設計値を決定する
眼鏡レンズの設計方法。 - 前記相対測定値として、少なくとも前記実性相対調節か前記虚性相対調節のいずれか又は両方を含むことを特徴とする、請求項1に記載の眼鏡レンズの設計方法。
- 前記相対測定値として、垂直融像よせを含むことを特徴とする、請求項1又は請求項2に記載の眼鏡レンズの設計方法。
- 前記相対測定値を因子として含む視覚疲労関数の閾値として、相対測定値の1/3により快適領域と視覚疲労領域とに分類するにあたって、横軸を輻輳角、縦軸を運動性融像の垂直融像よせ、奥行き軸を調節とした3次元空間を想定したとき、
前記相対測定値の1/3を閾値とする第一の閉曲面の外と内を判定基準として前記快適領域と前記視覚疲労領域に分類することを特徴とする、請求項1から請求項3の何れか一項に記載の眼鏡レンズの設計方法。 - 前記快適領域をさらに感覚性融像域と該感覚性融像域を除く運動性快適領域とに分類するにあたって、横軸を輻輳角、縦軸を運動性融像の垂直融像よせ、奥行き軸を調節とした3次元空間を想定したとき、
前記パナムの融像域の水平成分の1/2、垂直成分の1/2、焦点深度の1/2を閾値とする第二の閉曲面の外と内を判定基準として前記感覚性融像域と前記運動性快適領域に分類することを特徴とする、請求項4に記載の眼鏡レンズの設計方法。 - 前記輻輳角の軸において、前記相対測定値のうちの実性相対輻輳値又は虚性相対輻輳値の1/3を輻輳角の運動性快適領域の閾値とし、
評価点の輻輳角と、前記眼鏡レンズの設計基準点を通過する注視線の輻輳角である輻輳角基準値との差として定義する輻輳収差を求め、
前記輻輳収差について、前記評価点の輻輳角を求めた注視線の中線を含み、正中面と垂直な面への射影成分である面平行成分を求め、
前記輻輳収差の面平行成分の値と前記輻輳角の運動性快適領域の閾値との大小を相対輻輳の運動性快適領域の判定条件とし、
前記調節の軸において、前記相対測定値のうちの実性相対調節値又は虚性相対調節値の1/3を調節の運動性快適領域の閾値とし、
前記評価点で求めた平均度数誤差と前記調節の運動性快適領域の閾値との大小を相対調節の運動性快適領域の判定条件とし、
前記運動性融像の垂直融像よせの軸において、前記相対測定値のうちの垂直融像よせの1/3を垂直融像よせの運動性快適領域の閾値とし、
前記輻輳収差について、前記評価点の輻輳角を求めた注視線の中線を含み、正中面と平行な面への射影成分である面垂直成分を求め、
前記輻輳収差の面垂直成分の値と前記垂直融像よせの運動性快適領域の閾値との大小を垂直融像よせの運動性快適領域の判定条件として、
COMH,COMV、COMR,COML,COMDを、輻輳収差、度数誤差を相対測定値に対する係数としたとき、AREA1にて第一の閉曲面の内外であって、AREA1が1より小さいと前記快適領域に分類し、1より大きいと前記視覚疲労領域に分類する
(但し、輻輳収差の水平成分が正値のときのCOMH
COMH=輻輳収差の面平行成分/(虚性相対輻輳の1/3)
輻輳収差の水平成分が負値ときのCOMH
COMH=輻輳収差の面平行成分/(実性相対輻輳の1/3)
COMV=輻輳収差の面垂直成分/(垂直融像よせの1/3)
度数誤差が正値のときのCOMR
COMR=右眼の度数誤差/(虚性相対調節の1/3)
度数誤差が負値のときのCOMR
COMR=右眼の度数誤差/(実性相対調節の1/3)
度数誤差が正値のときのCOML
COML=左眼の度数誤差/(虚性相対調節の1/3)
度数誤差が負値のときのCOML
COML=左眼の度数誤差/(実性相対調節の1/3)
COMD=COMR、COMLの大きい方
AREA1=COMH,COMV,COMDを因子とする2乗和の平方根)
ことを特徴とする、請求項5に記載の眼鏡レンズの設計方法。 - 前記輻輳角の軸において、パナムの融像域の正中面と垂直な面平行成分の1/2を輻輳角の感覚性融像閾値とし、
評価点の輻輳角と、前記眼鏡レンズの設計基準点を通過する注視線の輻輳角である輻輳角基準値との差として定義する輻輳収差を求め、
前記輻輳収差について、前記評価点の輻輳角を求めた前記注視線の中線を含み、正中面と垂直な面への射影成分である面平行成分を求め、
前記輻輳収差の面平行成分の値と前記輻輳角の感覚性融像閾値との大小を相対輻輳の感覚性融像の判定条件とし、
前記調節の軸において、焦点深度の1/2を調節の感覚性融像閾値とし、
前記評価点における平均度数誤差と前記調節の感覚性融像閾値との大小を相対調節の感覚性融像の判定条件とし、
前記運動性融像の垂直融像よせの軸において、パナムの融像域の正中面と平行な面垂直成分の1/2を垂直融像よせの感覚性融像閾値とし、
前記輻輳収差について、前記評価点の輻輳角を求めた前記注視線の中線を含み、正中面と平行な面への射影成分である面垂直成分を求め、
前記輻輳収差の面垂直成分の値と前記垂直融像よせの感覚性融像閾値との大小を垂直融像よせの感覚性融像の判定条件として、
SENH,SENV、SENR,SENL、SENDを、輻輳収差、度数誤差を相対測定値に対する係数としたとき、AREA2にて第二の閉曲面の内外であって、AREA2が1より小さいと前記感覚性融像域に分類し、1より大きく前記視覚疲労領域でない場合に前記運動性快適領域に分類する
(但し、SENH=輻輳収差の面平行成分/PanumH
SENV=輻輳収差の面垂直成分/PanumV
SENR=(右眼の度数誤差/PanumD)の絶対値
SENL=(左眼の度数誤差/PanumD)の絶対値
SEND=SENR、SENLの大きい方
AREA2=SENH,SENV,SENDを因子とする2乗和の平方根
PanumH,PanumV,PanumDは中心窩でのパナムの融像域の水平成分の1/2、垂直成分の1/2、焦点深度の1/2)
ことを特徴とする、請求項5又は請求項6に記載の眼鏡レンズの設計方法。 - 前記評価関数、前記視覚疲労関数がそれぞれ次の(1)式の関係を持つことを特徴とする、請求項1から請求項7の何れか一項に記載の眼鏡レンズの設計方法。
感覚性融像域では
視覚疲労関数i=0
運動性快適領域、視覚疲労領域では、
視覚疲労関数i=FUNCの常用対数
但し、
輻輳収差の面平行成分DFhが正値なら
VFH=(DFh-PanumH)/(虚性相対輻輳の1/3-PanumH)
輻輳収差の面平行成分DFhが負値なら
VFH=(DFh+PanumH)/(実性相対輻輳の1/3+PanumH)
輻輳収差の面垂直成分DFvが常に負値
VFV=(DFv+PanumV)/(垂直融像よせの1/3+PanumV)
右眼の度数誤差PowRが正値なら
VFR=(PowR-PanumD)/(虚性相対調節の1/3-PanumD)
右眼の度数誤差PowRが負値なら
VFR=(PowR+PanumD)/(実性相対調節の1/3+PanumD)
左眼の度数誤差PowLが正値なら
VFL=(PowL-PanumD)/(虚性相対調節の1/3-PanumD)
左眼の度数誤差PowLが負値なら
VFL=(PowL+PanumD)/(実性相対調節の1/3+PanumD)
VFD=VFRとVFLの大きい方
DVF=VFH,VFV,VFDを因子とする2乗和の平方根
パナム融像域の閉曲面上を0、相対測定値の閉曲面上を1にするため関数FUNCを以下のように設定する。
FUNC=9×DVF+1
ここでPanumH,PanumV,PanumDは中心窩でのパナムの融像域の水平成分の1/2、垂直成分の1/2、焦点深度の1/2である)。 - 眼鏡装用者の両眼視に係る個別の測定値である実性相対輻輳、虚性相対輻輳、実性相対調節、虚性相対調節、垂直融像よせを相対測定値とするとき、前記相対測定値として少なくとも前記実性相対輻輳か前記虚性相対輻輳のいずれかまたは両方を測定する測定ステップと、
前記相対測定値を因子として含む視覚疲労関数を対象の各評価点で加算した関数を最適化計算時の評価関数とすることにより両眼視機能を最適化する最適化ステップと、
を有する眼鏡レンズの評価方法。 - 眼鏡装用者の両眼視に係る個別の測定値である実性相対輻輳、虚性相対輻輳、実性相対調節、虚性相対調節、垂直融像よせを相対測定値とするとき、前記相対測定値として少なくとも前記実性相対輻輳か前記虚性相対輻輳のいずれかまたは両方を用い、前記相対測定値を因子として含む視覚疲労関数を対象の各評価点で加算した評価関数を用いて最適化計算を行い、前記最適化計算により求めた光学設計値に基づいて眼鏡レンズを製造する工程を含む眼鏡レンズの製造方法。
- 眼鏡レンズの発注側に設置されて前記眼鏡レンズの発注に必要な処理を行う機能を有する発注側コンピュータと、前記発注側コンピュータからの情報を受け取って、前記眼鏡レンズの受注に必要な処理を行う機能を有する製造側コンピュータと、が通信回線で接続された眼鏡レンズ製造システムであって、
前記発注側コンピュータは、少なくとも実性相対輻輳か虚性相対輻輳のいずれか又は両方を含む前記眼鏡レンズの設計に必要な情報を前記製造側コンピュータに送信し、
前記製造側コンピュータは、
前記発注側コンピュータから送信された前記相対測定値を含むデータを入力するデータ入力部と、
前記入力されたデータに基づいて、眼鏡レンズの複数の評価点についての光学性能値を計算する視覚疲労関数計算部と、
前記少なくとも実性相対輻輳か虚性相対輻輳のいずれか又は両方を含む相対測定値を因子として有する視覚疲労関数を対象の各評価点で加算した関数を評価関数として、前記光学性能値の最適化を図る評価関数最適化部と、
前記評価関数を所定の閾値と比較して、前記光学性能値を評価する評価関数評価部と、
前記評価関数評価部において評価した結果、前記視覚疲労関数の値が所定の収束条件に達しない場合に、眼鏡レンズの設計データを修正する設計データ修正部と、
前記本発明の評価関数評価部の評価を前記対象の各評価点について終了した結果から、設計データを決定する光学設計値決定部と、
前記光学設計値決定部における最終的な設計データをレンズ加工するための装置へ供給する設計データ出力部と、
を有することを特徴とする眼鏡レンズの製造システム。 - 眼鏡装用者の両眼視に係る個別の測定値である実性相対輻輳、虚性相対輻輳、実性相対調節、虚性相対調節、垂直融像よせを相対測定値とするとき、前記相対測定値として少なくとも前記実性相対輻輳か前記虚性相対輻輳のいずれか又は両方を含む相対測定値を因子として含む視覚疲労関数を対象の各評価点で加算した評価関数を用いて最適化計算を行い、前記最適化計算により求めた光学設計値に基づいて製造されたことを特徴とする眼鏡レンズ。
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Also Published As
Publication number | Publication date |
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EP2600186A4 (en) | 2015-04-15 |
EP2600186A1 (en) | 2013-06-05 |
BR112013001947A2 (pt) | 2018-05-15 |
RU2589364C2 (ru) | 2016-07-10 |
JP2016035591A (ja) | 2016-03-17 |
RU2013108467A (ru) | 2014-09-10 |
CN103124922B (zh) | 2014-09-17 |
CN103124922A (zh) | 2013-05-29 |
JPWO2012014810A1 (ja) | 2013-09-12 |
JP5841053B2 (ja) | 2016-01-06 |
JP5997351B2 (ja) | 2016-09-28 |
CN104166244A (zh) | 2014-11-26 |
US20130179297A1 (en) | 2013-07-11 |
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