CN113867005A - Progressive multi-focus ophthalmic lens surface type optimization design method - Google Patents
Progressive multi-focus ophthalmic lens surface type optimization design method Download PDFInfo
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- CN113867005A CN113867005A CN202111258151.3A CN202111258151A CN113867005A CN 113867005 A CN113867005 A CN 113867005A CN 202111258151 A CN202111258151 A CN 202111258151A CN 113867005 A CN113867005 A CN 113867005A
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- 230000000750 progressive effect Effects 0.000 title claims abstract description 65
- 238000000034 method Methods 0.000 title claims abstract description 25
- 238000005457 optimization Methods 0.000 title claims abstract description 10
- 238000005070 sampling Methods 0.000 claims abstract description 7
- 238000010276 construction Methods 0.000 claims description 2
- 238000012876 topography Methods 0.000 claims 1
- 208000001491 myopia Diseases 0.000 abstract description 15
- 230000000007 visual effect Effects 0.000 abstract description 6
- 230000003287 optical effect Effects 0.000 abstract description 4
- 201000009310 astigmatism Diseases 0.000 description 15
- 238000010586 diagram Methods 0.000 description 9
- 230000007547 defect Effects 0.000 description 2
- 239000000126 substance Substances 0.000 description 2
- 238000012938 design process Methods 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 210000000887 face Anatomy 0.000 description 1
- 239000011521 glass Substances 0.000 description 1
- 238000003384 imaging method Methods 0.000 description 1
- 239000000463 material Substances 0.000 description 1
- 238000005192 partition Methods 0.000 description 1
- 210000001525 retina Anatomy 0.000 description 1
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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
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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
- G02C7/028—Special mathematical design techniques
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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
- 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
- G02C7/063—Shape of the progressive surface
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- Health & Medical Sciences (AREA)
- Ophthalmology & Optometry (AREA)
- General Health & Medical Sciences (AREA)
- General Physics & Mathematics (AREA)
- Optics & Photonics (AREA)
- Mathematical Physics (AREA)
- Eyeglasses (AREA)
Abstract
The invention discloses a progressive multi-focus ophthalmic lens surface type optimization design method. And fitting and optimizing the surface type of the progressive multifocal ophthalmic lens by adopting a Zernike polynomial, namely sampling the designed lens surface type, and then re-fitting the surface type of the progressive multifocal ophthalmic lens by selecting the proper number of the Zernike polynomial to optimize the optical performance of the progressive multifocal ophthalmic lens. The progressive multi-focus ophthalmic lens provided by the invention can increase the effective visual area ranges of the far vision area and the near vision area of the lens under the condition of not reducing the width of a progressive channel of the original lens, and improves the wearing comfort and the adaptability of a wearer.
Description
Technical Field
The invention relates to a progressive addition ophthalmic lens surface type optimization design method, in particular to a method for optimizing a progressive addition ophthalmic lens surface type by utilizing Zernike polynomial fitting and designing a progressive addition ophthalmic lens.
Background
The progressive multi-focus ophthalmic lens has continuously variable focal power, solves the requirement that a pair of glasses can see objects far away and near clearly at the same time, and avoids the defects of image jump and the like when a double-lens or a triple-lens switches the visual field. FIG. 1 is a schematic plan view of a progressive addition ophthalmic lens in zones, with zone 1 of the upper portion of the lens being for viewing distant objects, being the distance zone, according to the visual characteristics of the human eye; the lower part 2 area of the lens is used for reading books and newspapers, writing and other short-distance work and is a near vision area; the 3 zones connecting the far vision zone and the near vision zone have continuously changing light angles and are used for matching any distance from far to near middle, so that objects at the distance are clearly imaged on the retina and are progressive channels; the presence of the zone 4 on either side of the lens, which is the astigmatic zone, affects the imaging performance and thus the wearing experience of the wearer. The basic requirement for designing progressive addition ophthalmic lenses is that the clear vision zone (distance and near vision zone) is as large as possible; the channel width gradually increases; the astigmatic region has a small area and a low astigmatic value. Previous design methods and results indicate that all of the above basic requirements cannot be simultaneously met. Therefore, when designing the progressive addition ophthalmic lens, the design parameters should be adjusted according to the specific wearing requirements to obtain progressive addition ophthalmic lenses with different purposes.
The patent number CN202110607446.0 proposes a method for optimizing a meridian of a progressive addition ophthalmic lens by adopting two-stage polynomial fitting, which can flexibly control the power change rate of any position of the meridian of the progressive addition ophthalmic lens, thereby controlling astigmatism of different regions of the lens, determining the power distribution of the whole lens surface by combining with a proper contour line, determining the curvature radius distribution of the whole surface by geometric optical knowledge, and obtaining the surface rise of the progressive addition ophthalmic lens by combining with the curvature center corresponding to the curvature radius. The optical performance of the lens is analyzed by calculating the power and astigmatism distribution of the lens surface by using the principle of differential geometry. The method can meet different requirements of wearers, reasonably change the focal power change rate of different positions of the meridian, and design the progressive multifocal ophthalmic lens meeting the personalized requirements.
The design method can be used for designing the progressive multifocal ophthalmic lens with a wide far vision zone, a wide near vision zone or a wide progressive channel, but the design method ensures the wide progressive channel of the progressive multifocal ophthalmic lens, and meanwhile, the effective clear vision zones of the far vision zone and the near vision zone are obviously reduced, so that the wearing comfort of a wearer is influenced.
Disclosure of Invention
Aiming at the defects in the prior art, the invention provides a progressive multi-focus ophthalmic lens surface type optimization design method for increasing the effective clear visual area of the distance vision area and the near vision area under the condition of ensuring the wider progressive channel of the original design.
The technical scheme for realizing the aim of the invention is to provide a progressive addition ophthalmic lens surface type optimization design method, namely a method for fitting the progressive addition ophthalmic lens surface type by adopting Zernike polynomials, which comprises the following steps:
a coordinate system is established by taking the center O of the lens as an origin,xthe positive direction of the axis is the downward direction of the vertical direction,ythe positive axial direction is the horizontal direction to the right,zthe positive direction of the axis is vertical to the paper surface and faces outwards;
determining the position of a far vision zone reference point A, the position of a near vision zone reference point B and the focal power of a far vision zone of the lens according to the optometry resultD 0ADD the optical power ADD. According to the solution disclosed in the document CN202110607446.0, the lens meridian is determined by the following function:
wherein the content of the first and second substances,uis the position on the meridian of the lens;
lthe distance from a far vision area reference point A to the center O of the lens;
hthe distance from the far vision region reference point A to the near vision region reference point B;
D(u) The focal power of the corresponding position on the meridian;
r(u) The curvature radius of the corresponding position on the meridian;
nis the refractive index of the lens material;
according to the profile line function provided in document US5123725u(x, y) And the center of curvature is calculatedRadius of curvature distribution to the entire surface of the lensr(u(x, y) And its corresponding center of curvature position (ξ,η,
)。
Constructing a series of circles by using the curvature radius and the corresponding curvature center, wherein the enveloping surface of the circles is the surface of the lens, and finally obtaining the corresponding rise of each point of the lens through calculation:
sampling is carried out on the surface of the lens at the sampling interval of 1mm, and discrete numerical value points of the vector height distribution of the surface of the lens are obtained.
Fitting discrete points of the sagittal height distribution of the lens surface using a Zernike polynomial of the form:
wherein:n=0,1,2,3…; m≤n。
wherein the content of the first and second substances,nthe value range is as follows: 0 is less than or equal ton≤12。
New progressive addition ophthalmic lens sagittal height data are obtained by Zernike polynomial fitting.
Compared with the prior art, the method for optimizing the surface type of the progressive multifocal ophthalmic lens based on Zernike polynomial fitting has the advantages that: the method provided by the invention can greatly enlarge the range of the effective visual zone of the far vision zone and the near vision zone while ensuring the wider progressive channel, and improve the wearing comfort of a wearer.
Drawings
Fig. 1 is a schematic functional partition diagram of a progressive addition ophthalmic lens, in which a region 1 is a distance viewing region, a region 2 is a near viewing region, a region 3 is a progressive channel, and a region 4 is an astigmatism region;
FIG. 2 is a schematic view of a power contour of a progressive addition ophthalmic lens designed by a prior method;
FIG. 3 is a schematic view of the astigmatic contours of a progressive addition ophthalmic lens designed by the prior art method;
FIG. 4 is a schematic power contour line of a progressive addition ophthalmic lens in example 1 of the present invention;
FIG. 5 is a schematic view of the astigmatic contours of a progressive addition ophthalmic lens of example 1 of the present invention;
FIG. 6 is a schematic power contour line of a progressive addition ophthalmic lens in example 2 of the present invention;
FIG. 7 is a schematic view of the astigmatic contours of a progressive addition ophthalmic lens of example 2 of the present invention.
Detailed Description
The technical scheme of the invention is further explained by combining a schematic diagram and an implementation example.
Examples 1
In this example, the radius of the lensRIs 30.00mm, refractive indexn1.56, the focal power at the far vision zone reference point A of the lens is-6.00D (diopter), the addition power ADD is 2.00D, so that the focal power at the near vision zone reference point B is-4.00D, and the distance between the far vision zone reference point A and the near vision zone reference point Bh=32.00mm, far vision zone reference point A and lensDistance between centers Ol=10.00 mm. The specific design steps are as follows:
1. the specified coordinate system is as follows:ythe positive direction of the axis is horizontally towards the right,xthe positive direction of the axis is vertically downward,zthe positive direction of the axis is perpendicular to the paper surface and points to the reader, and the unit of the coordinate axis is mm.
According to the actual optometry result, the individual parameters (far vision zone reference point position, near vision zone reference point position, far vision zone focal power, addition power and the like) of the lens dispenser are determined, and according to the technical scheme disclosed in the patent CN202110607446.0, the meridian focal power change curve of the progressive multifocal ophthalmic lens is obtained by calculation according to the formula (1)D(u)。
According to the solution disclosed in document US5123725, the contour of a progressive multifocal ophthalmic lens is calculatedu(x, y) Using contour functionsu(x, y) Determining the distribution of the radius of curvature of the entire surface of the progressive surface of the lensr(u(x, y))。
According to the technical scheme disclosed in the patent document US5123725, the curvature center coordinate corresponding to each curvature radius on the lens is calculated (ξ,η,
) The corresponding curvature center and curvature radius form a series of spherical surfaces, the enveloping surface of the series of spherical surfaces is the rise of the progressive surface of the progressive multifocal ophthalmic lens, and the calculation formula of the rise is shown as the formula (2).
Sampling is carried out on the surface of the lens at the sampling interval of 1mm, and discrete numerical value points of the vector height distribution of the surface of the lens are obtained. These discrete points are fitted by equation (3) wherenThe value of (1) is 7, namely the number of terms of the Zernike polynomial is 35, and the rise data of the progressive surface of the new progressive addition ophthalmic lens is obtained after fitting.
The power profile of the lens is then calculated and is shown in figure 4, which is a power contour diagram for the progressive addition ophthalmic lens of this example.
Finally, the astigmatism distribution of the lens is calculated, and referring to fig. 5, the astigmatism contour diagram of the progressive addition ophthalmic lens in the present example is shown.
The focal power distribution diagram 4 of the lens designed by the invention shows that the focal power of the far vision zone is-6.00D, the focal power of the near vision zone is-4.25D, the addition power is 1.75D, the deviation value from the initial design requirement is less than 0.50D, the design requirement is met, compared with the astigmatism distribution diagram (5) designed by the invention and the astigmatism diagram (3) which is not subjected to fitting optimization design, the progressive channel width of the lens designed by the invention is 6.00mm, the progressive channel width is similar to that which is not subjected to optimization design, and the lens far vision zone (C) is subjected to optimization design (C: (C)x= -10.00 mm) has a maximum width (astigmatism less than 0.50D) of 18.00mm, similar to the lens without optimized design, however, the maximum width of the near zone of the lens after optimized design (astigmatism less than 0.50D) is 17.00mm, while the maximum width of the near zone of the lens without optimized design (astigmatism less than 0.50D) is only 10.00 mm. It can be seen that the performance of the lens optimized using Zernike polynomial fitting is superior to the lens that was not optimized.
EXAMPLES example 2
In this example, the design parameters of the lens are exactly the same as example 1, and the meridian, contour and face construction methods used in the design process are also the same as example 1, except that: the Zernike polynomials used have a term of 45, i.e. of the Zernike polynomialnThe value is 8. And obtaining the rise data of the progressive surface of the new progressive addition ophthalmic lens after fitting. The power profile of the lens is calculated and is shown in figure 6 as a power contour diagram for the progressive addition ophthalmic lens of this example. Finally, the astigmatism distribution of the lens is calculated, and referring to fig. 7, the astigmatism contour diagram of the progressive addition ophthalmic lens in the present example is shown.
As can be seen from FIG. 6, the power of the lens stabilizes at-6.00D over a wide range, with a maximum width of 20.00mm, and the power stabilizes at-4.25D over a range in the near zone, with a maximum width of 9.00 mm. Compared with example 1, the thickness is increased by 1.00mm and 2.00mm respectively. Comparing astigmatism of example 1 to astigmatism of example 2 in fig. 5 and 7, it can be seen that the progressive channel width and the maximum width of the near zone of the two lenses are substantially the same, but the real width isExample 2 far vision zone (x= -10.00 mm) is 20.00mm, astigmatism is less than 0.50D, is increased by 2.00mm, and the far vision zone effect is better than example 1.
The above examples illustrate that the method for optimizing a progressive addition ophthalmic lens using Zernike polynomial fitting can increase the effective visual zone range of the distance vision zone and the near vision zone and improve the wearing comfort of the wearer while ensuring that the lens progressive channel width is not reduced.
Claims (4)
1. A progressive addition ophthalmic lens surface type optimization design method adopts Zernike polynomial fitting to optimize the progressive addition ophthalmic lens surface type, and is characterized by comprising the following steps:
(1) designing a progressive multi-focus ophthalmic lens according to three steps of meridian design, contour line design and lens surface topography construction to obtain lens progressive surface rise data;
(2) sampling is carried out on the designed lens progressive surface to obtain discrete data points, and the discrete points are fitted into the required progressive surface through a Zernike polynomial.
2. The method of claim 1, wherein the method comprises the steps of: the lens progressive surface is uniformly sampled at sampling intervals of 1 mm.
3. The method of claim 1, wherein the method comprises the steps of: the Zernike polynomial form is as follows:
wherein:Zis the face rise;ρis a radial coordinate;θin the form of an angular coordinate,n=0,1,2,3…，m≤n；
4. the method of claim 1, wherein the method comprises the steps of: in Zernike polynomialsnThe taking range of (A) is as follows: 0 is less than or equal ton≤12。
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| CN101661167A (en) * | 2009-09-05 | 2010-03-03 | 温州医学院眼视光研究院 | Method for designing ophthalmic progressive additional lens by utilizing meridian |
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| CN103246084A (en) * | 2013-05-29 | 2013-08-14 | 苏州科技学院 | Progressive addition lens with fixed channel length |
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| CN107037604A (en) * | 2017-06-07 | 2017-08-11 | 苏州科技大学 | A kind of ophthalmic progressive additional lens and its design method |
| CN112882254A (en) * | 2021-02-10 | 2021-06-01 | 苏州科技大学 | Progressive multi-focal ophthalmic lens suitable for people with myopia to presbyopia and design method thereof |
| CN113253482A (en) * | 2021-06-01 | 2021-08-13 | 苏州科技大学 | Two-stage meridian design method for progressive multi-focus spectacle lens |
| CN113341590A (en) * | 2021-06-18 | 2021-09-03 | 温州医科大学 | Regionalized free-form surface astigmatism eliminating graded mirror and design method |
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2021
- 2021-10-27 CN CN202111258151.3A patent/CN113867005A/en active Pending
Patent Citations (9)
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|---|---|---|---|---|
| CN101661167A (en) * | 2009-09-05 | 2010-03-03 | 温州医学院眼视光研究院 | Method for designing ophthalmic progressive additional lens by utilizing meridian |
| CN102830505A (en) * | 2012-09-08 | 2012-12-19 | 苏州科技学院 | Preparation method for personalized progressive multi-focus eye lens |
| CN102902078A (en) * | 2012-09-26 | 2013-01-30 | 温州医学院眼视光研究院 | Free-form surface progressive multi-focus-point lens and design method thereof |
| CN103246084A (en) * | 2013-05-29 | 2013-08-14 | 苏州科技学院 | Progressive addition lens with fixed channel length |
| CN103246083A (en) * | 2013-05-29 | 2013-08-14 | 苏州科技学院 | Progressive addition ophthalmic lens and preparation method thereof |
| CN107037604A (en) * | 2017-06-07 | 2017-08-11 | 苏州科技大学 | A kind of ophthalmic progressive additional lens and its design method |
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