CN115097650A - Progressive multi-focal ophthalmic lens with personalized meridian and design method thereof - Google Patents
Progressive multi-focal ophthalmic lens with personalized meridian and design method thereof Download PDFInfo
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- CN115097650A CN115097650A CN202210312645.3A CN202210312645A CN115097650A CN 115097650 A CN115097650 A CN 115097650A CN 202210312645 A CN202210312645 A CN 202210312645A CN 115097650 A CN115097650 A CN 115097650A
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- 230000000750 progressive effect Effects 0.000 title claims abstract description 47
- 238000013461 design Methods 0.000 title claims abstract description 10
- 238000000034 method Methods 0.000 title claims abstract description 8
- 230000000007 visual effect Effects 0.000 claims abstract description 17
- 230000002068 genetic effect Effects 0.000 claims abstract description 11
- 230000003287 optical effect Effects 0.000 claims abstract description 8
- 210000001508 eye Anatomy 0.000 claims description 9
- 238000009826 distribution Methods 0.000 claims description 7
- 210000003128 head Anatomy 0.000 claims description 7
- 201000009310 astigmatism Diseases 0.000 description 13
- 210000005252 bulbus oculi Anatomy 0.000 description 4
- 241000700608 Sagitta Species 0.000 description 3
- 238000011156 evaluation Methods 0.000 description 3
- 238000010586 diagram Methods 0.000 description 2
- 230000007704 transition Effects 0.000 description 2
- 230000006978 adaptation Effects 0.000 description 1
- 238000007796 conventional method Methods 0.000 description 1
- 239000006185 dispersion Substances 0.000 description 1
- 230000004424 eye movement Effects 0.000 description 1
- 239000011521 glass Substances 0.000 description 1
- 230000004886 head movement Effects 0.000 description 1
- 210000003205 muscle Anatomy 0.000 description 1
- 238000013519 translation Methods 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
- G02C7/027—Methods of designing ophthalmic lenses considering wearer's parameters
-
- 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
-
- 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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- Health & Medical Sciences (AREA)
- Ophthalmology & Optometry (AREA)
- Physics & Mathematics (AREA)
- General Health & Medical Sciences (AREA)
- General Physics & Mathematics (AREA)
- Optics & Photonics (AREA)
- Eyeglasses (AREA)
Abstract
The invention discloses a progressive multi-focus ophthalmic lens and a design method thereof, wherein the optical power value on a meridian line is determined by visual object scene coordinates of a lens dispenser working or living. The object point position curve of the visual object scene in front of the lens dispenser is formed by fitting a plurality of key points in the visual object scene by using a segmented Bezier curve. After the objective function is set, searching for Zernike polynomial coefficients by using a genetic algorithm to obtain the rise of the progressive multifocal ophthalmic lens. The meridian power of the obtained progressive addition ophthalmic lens is consistent with the target power, and the progressive addition ophthalmic lens has a wider effective visual zone. The invention takes the visual scene of the lens dispenser as the reference, and the obtained progressive multi-focus ophthalmic lens not only accords with the personalized characteristics of the lens dispenser, but also accords with the working or living scene characteristics of the lens dispenser.
Description
Technical Field
The invention relates to a progressive multifocal ophthalmic lens and a design method thereof, in particular to a progressive multifocal ophthalmic lens with personalized meridian and a design method thereof.
Background
According to the different functions of the various parts of the lens (as shown in fig. 1), the progressive addition ophthalmic lens is divided into a far vision zone 1 and a near and far vision zone 2, the zone connecting the far vision zone and the near and far vision zone is a gradual transition channel 3 (or intermediate transition zone), one point 2mm above the geometric center of the lens is the lens assembly center (FT), and the rest is an interference dispersion zone 4.
In the prior art designs, the main design goal of the meridian of a progressive addition ophthalmic lens is to achieve the optical powers of the distance zone and the near zone and to minimize the astigmatism that interferes with the astigmatism of the astigmatism zone. There is no adequate consideration of whether the amount and rate of change of power at the progression channel is consistent with the lens-fitter's visual habits. The prior patent (CN 200480044410.0) proposes to obtain information of an initial lens using at least one viewpoint and then modify the initial design to provide a progressive addition ophthalmic lens with a secondary design, without the key points of the visual scene relating to the work or life of the dispenser.
In view of the above problems, the present invention provides a method for designing the meridian power distribution of a progressive addition ophthalmic lens according to the working or living scene of the lens dispenser. The present method provides a progressive addition ophthalmic lens suitable for the experience of the dispenser.
Disclosure of Invention
The invention aims to provide a progressive addition ophthalmic lens designed according to the meridian visual field power requirement of a lens dispenser.
In order to realize the purpose, the invention adopts the following technical scheme:
(1) determining the position x of the meridian line of the vision line passing through the progressive addition ophthalmic lens when the dispenser observes the object point T (x,0, z) in the visual scene 1 。
An orthogonal coordinate system O-xyz of the lens and the human eye is established, the origin of coordinates is positioned at the center of rotation of the eyeball of the lens dispenser, the x axis points downwards, the y axis points to the left of the lens dispenser, and the z axis points to the right front of the lens dispenser (as shown in figure 2). The coordinate system O-xyz has length units of meters (m for short) and optical power units of diopters (1/m for D for short).
Measuring 4 to 8 key points from the body of the wearer to infinityT n (n =0,1, 2..) coordinates. T is n Is always zero, i.e. all key points T n Lying in the xOz plane.
In the xOz plane, through T n And (2) a continuous curve is fit-synthesized by using a segmented third-order Bezier curve interpolation, the first derivative continuity is kept among the curve segments, and the parameter equation of the curve is as follows:
wherein
In order to be the parameters of the bezier curve,cto be the coefficients of the fitted curve u,
the number of curve segments is determined by the number of fitting points, which is the serial number of the curve segments.
Assuming that the head is still and the line of sight falls on a point T (x,0, z) on the Bezier curve ahead, the angle of rotation of the eyeball in the vertical direction is
According to the literature (Rifai K, Wahl S. Specific Eye-head coordination of the influences in Vision in progressive lenses weers [ J ]. Journal of Vision, 2016 (11): 5-5.), (Hutchings N, Irving E L, Jung N, et al. Eye and head movement evaluation in subjective evaluation of the muscles in subjective evaluation lenses weers [ J ]. optical and physical Optics, 2007, 27(2): 142-:
whereinα h A vertical deflection angle for head rotation; kappa is the proportionality coefficient (0) of the vertical head deflection angle and the eye deflection angle<κ<1) The scaling factor varies from individual to individual.
Due to the compensation rotation of the head, the actual deflection angle of the eyeball is
The eye line passes through the center of assembly FT of the spectacle lens when the eye is looking straight ahead. Let the distance q (12mm < q <14mm) from the fitting center FT of the spectacle lens to the point O of the center of rotation of the human eye. The angle of deflection at which the line of sight passes through the mounting centre FT is zero. The default observed object point is at infinity when the line of sight passes through the mounting center FT or is skewed upward. The distance from the intersection of the line of sight and the spectacle lens to the fitting center FT at this time is h,
let the distance from the fitting center FT to the geometric center of the spectacle lens bel（2mm<l<5mm) of the eye, establishing a two-dimensional coordinate system x fixedly connected with the spectacle lens in order to represent the position of the intersection of the line of sight and the spectacle lens 1 O 1 y 1 ，x l Vertically directed under the lens, y 1 Horizontally pointing to the right of the lens, and setting the intersection point of the sight line and the spectacle lens at x 1 O 1 y 1 The vertical coordinate position in the coordinate system is x 1 Substituting the formulas (5), (4) and (2) to obtain
(2) Determining a position coordinate x on a meridian line of a progressive addition ophthalmic lens 1 Corresponding to the power P.
Neglecting the head translation distance, the distance from the time point T (x,0, z) to the eyeball is
The inverse of the object distance, i.e. the power P corresponding to the object point T (x,0, z) O Is composed of
According to the formula (6) and the formula (8), the intersection point position x of the sight line and the glasses 1 Focal power P of object point O One-to-one correspondence, thereby obtaining a corresponding relation x 1 And P O Curve (c) of (d).
Find P O Maximum value of (P) omax And minimum value P omin Distance power P in prescription data for a dispenser's progressive addition lens d And an ADD power ADD.
The meridional power P required by the dispenser is determined by
(3) And (4) optimizing Zernike polynomial coefficients by adopting a genetic algorithm to calculate the sagitta of the progressive addition ophthalmic lens.
The terms of the Zernike polynomial are taken from 180 to 230 in order to reduce the genetic algorithm variable X n The search range of (2) is given by the Zernike polynomial coefficient A n Obtaining genetic algorithm variable X after proper scaling n I.e. genetic algorithm variable X n Set as the product of the Zernike coefficient and the negative m-th power of 10, X n Can be expressed as
Wherein A is n Is Zernike polynomialsCoefficient of formula (I), m is an integer, and-9<m<The values of 1 and m are shown in FIG. 3.
Also have
The objective function of the genetic algorithm is
Where Ω is the lens area, P is the lens power, P is the power of the lens O Is the target power. Beta is a pun A penalty factor for maximum astigmatism, in the range of 500 to 1000, beta Ast And beta P Respectively astigmatism weight and power weight, beta Ast A value in the range of 0.5 to 10, and beta P The value ranges from 2 to 30. The target powers at the distance zone, near zone and progression channel of the ophthalmic lens are the same as the powers on the same height meridian (as shown in figure 4).
The present invention provides a progressive addition ophthalmic lens, characterized in that: the meridional power profile of a progressive addition ophthalmic lens is determined by the visual scene in which the dispenser is working or living. The meridian power profile of a progressive addition ophthalmic lens is directly related to the object point of the visual scene in which the dispenser is working or living. The progressive addition ophthalmic lens disclosed by the invention has the positive progressive effects that: the meridian of the progressive multi-focus ophthalmic lens is obtained based on the working or living key point position of a lens dispenser, the personalized characteristics of the lens dispenser are fully reflected, and the lens is suitable for people and not people. The invention takes the visual scene of the lens dispenser as the reference, and the obtained progressive multi-focus ophthalmic lens not only accords with the personalized characteristics of the lens dispenser, but also accords with the working or living scene characteristics of the lens dispenser.
Drawings
FIG. 1 is a schematic diagram of functional area division of a progressive addition ophthalmic lens;
FIG. 2 is a schematic view of a dispenser viewing object target key point and coordinate system;
FIG. 3 is a plot of the power exponent m distribution for Zernike polynomial coefficient scaling factors;
FIG. 4 is a graph of the power of the entire lens versus the power of the meridian;
FIG. 5 is a graph of object points fitted according to dispenser key points;
figure 6 is a comparison of the target meridian power profile and the meridian power profile of a progressive addition ophthalmic lens of example 1.
FIG. 7 is a distribution diagram of the astigmatic weight coefficients in the objective function of the genetic algorithm in example 1;
FIG. 8 is a graph showing a power deviation weight coefficient distribution in an objective function of the genetic algorithm in example 1;
FIG. 9 is a sagittal view of a progressive addition ophthalmic lens of example 1;
fig. 10 is contour plots of power (left) and astigmatism (right) of the progressive addition ophthalmic lens of example 1.
Detailed Description
In order to more clearly explain the technical means of the present invention and to enable the same to be carried into practice, the following embodiments are given in detail with reference to the accompanying drawings.
Example 1
In this embodiment, the key points of the lens dispenser's view object are: when reading and writing, the center T1 of the paper surface, the center T2 of the computer keyboard and the center T3 of the display screen are clung to the viewpoint T0 of the body of the patient, which is at the same height with the reading paper surface, and the height of the visual reference surface is zero at a position 5m away from the point T4 of the wearer and 5m away from the point. The coordinates of each key point are shown in table 1, and the coefficients after fitting with a third-order bezier curve are shown in table 2.
TABLE 1 location coordinates of the Key Point of gaze of the lens wearer
TABLE 2 Curve fitting coefficients of the intersection of the visual reference plane with the coordinate plane yOz
The object point curve in the coordinate plane xOz is created according to the positions of the key points of the lens dispenser's view objects as shown in fig. 5.
The value of the head deflection coefficient k is 0.2. The distance from the fitting center FT to the geometric center of the spectacle lens islIs 4mm, and the optical distance power Pd of the lens dispenser is-4.0 diopter and the addition power ADD is 2.0 diopter measured by a conventional method. The meridian power curve of the progressive addition ophthalmic lens is shown in fig. 6. This curve is also referred to as the target meridian power curve, i.e. the dashed line in the figure.
In the genetic algorithm objective function, the maximum astigmatism value is the same as the ADD value. Penalty weight coefficient beta for maximum astigmatism pun Is 800, astigmatism weight coefficient β Ast The values of the areas are shown in FIG. 7, and beta at the far zone, the near zone and the gradual change channel Ast The values are 0.5, 1 and 3, respectively, the remainder being beta Ast The value of (d) is 0. Power deviation weight coefficient beta P The values are shown in FIG. 8, beta at the far zone, near zone and gradual change channel P The values are 5, 10 and 20, respectively, the remainder being beta P The value of (d) is 0.
After searching the zernike coefficients by using a genetic algorithm, the sagitta coefficients are substituted into the zernike polynomial, and the sagitta of the progressive multifocal ophthalmic lens is obtained, as shown in fig. 9.
The power and astigmatism distributions of the progressive addition ophthalmic lens designed according to the present embodiment are shown in fig. 10. Referring to the meridian power curve in figure 6, the optical power of the ophthalmic lens almost coincides with the target power curve, with a deviation of no more than 0.1 diopter. The width of the astigmatism less than 0.5 diopter near the lens fitting center FT is at least 30 millimeters, the width of the astigmatism less than 0.5 diopter in the near zone (x =14 millimeters) is at least 8 millimeters, and the zone of astigmatism less than 0.5 diopter in the progressive channel communicates the far zone and the near zone.
The progressive addition ophthalmic lens with the personalized meridian is characterized in that the meridian optical power distribution of the progressive addition ophthalmic lens is directly related to an object point of an object scene where a dispenser works or lives on the basis of a key point of an object viewing position of the dispenser. The meridian of the lens is matched with the personalized visual characteristics of the lens fitter, so that the adaptation difficulty of the lens fitter to the progressive multi-focus ophthalmic lens is reduced.
Claims (3)
1. The present invention provides a progressive addition ophthalmic lens, characterized in that: the meridian power distribution of the progressive addition ophthalmic lens is directly related to an object point of a visual scene where a dispenser works or lives, and the design method of the progressive addition ophthalmic lens comprises the following steps: (1) determining the position x of the meridian line of the vision line passing through the progressive addition ophthalmic lens when the dispenser observes the object point T (x,0, z) in the visual scene 1 (ii) a (2) Determining a meridian position x of an ophthalmic progressive addition lens 1 The corresponding focal power P; (3) and (3) adopting a genetic algorithm to optimize Zernike polynomial coefficients to calculate the rise of the progressive addition ophthalmic lens.
2. The dispenser of claim 1 wherein the dispenser views an object point T (x,0, z) in the viewing scene at a location x on a meridian line of the progressive addition ophthalmic lens 1 Is composed of
Wherein q is the distance from the assembling center FT of the spectacle lens to the O point of the rotation center of human eyes (12mm < q <14mm), k is the proportionality coefficient of the head deflection angle and the eye deflection angle in the vertical direction (0< k <1), and l is the distance from the assembling center FT to the geometric center of the spectacle lens (2mm < l <5 mm).
3. The dispenser of claim 1 wherein the line of sight passes through a meridian location x of the progressive addition ophthalmic lens when viewing the object point T (x,0, z) 1 Corresponding to an optical power of
Wherein, P d And ADD is the apparent distance power and ADD power in the prescription data for the dispenser's progressive addition lens,
P omax and P omin Is P O Maximum and minimum values of.
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| CN202210312645.3A CN115097650A (en) | 2022-03-28 | 2022-03-28 | Progressive multi-focal ophthalmic lens with personalized meridian and design method thereof |
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| CN202210312645.3A CN115097650A (en) | 2022-03-28 | 2022-03-28 | Progressive multi-focal ophthalmic lens with personalized meridian and design method thereof |
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Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US4613217A (en) * | 1980-05-02 | 1986-09-23 | Carl-Zeiss-Stiftung, Heidenheim/Brenz | Spectacle lens having astigmatic power |
| US20100110373A1 (en) * | 2005-12-13 | 2010-05-06 | Bjorn Drobe | Method for determining a progressive ophthalmic lens |
| US20150313463A1 (en) * | 2013-01-09 | 2015-11-05 | Rodenstock Gmbh | Aberrometer (or the like) having an astigmatic target |
| 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 |
| CN110346946A (en) * | 2019-06-25 | 2019-10-18 | 苏州科技大学 | A method of spectacle lens are evaluated based on eyeglass wearer individualized feature |
| 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 |
-
2022
- 2022-03-28 CN CN202210312645.3A patent/CN115097650A/en active Pending
Patent Citations (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US4613217A (en) * | 1980-05-02 | 1986-09-23 | Carl-Zeiss-Stiftung, Heidenheim/Brenz | Spectacle lens having astigmatic power |
| US20100110373A1 (en) * | 2005-12-13 | 2010-05-06 | Bjorn Drobe | Method for determining a progressive ophthalmic lens |
| US20150313463A1 (en) * | 2013-01-09 | 2015-11-05 | Rodenstock Gmbh | Aberrometer (or the like) having an astigmatic target |
| 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 |
| CN110346946A (en) * | 2019-06-25 | 2019-10-18 | 苏州科技大学 | A method of spectacle lens are evaluated based on eyeglass wearer individualized feature |
| 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 |
Non-Patent Citations (1)
| Title |
|---|
| 唐运海;吴泉英;钱霖;刘琳;: "渐进多焦点眼用镜片的个性化设计", 光学精密工程, no. 12, 15 December 2012 (2012-12-15) * |
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