CN103941417A - Design method for aspherical spectacle lens based on human eye dynamical optical axis - Google Patents
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- 238000000034 method Methods 0.000 title claims abstract description 39
- 238000013461 design Methods 0.000 title claims abstract description 18
- 230000003287 optical effect Effects 0.000 title claims abstract description 18
- 230000004438 eyesight Effects 0.000 claims abstract description 16
- 239000011159 matrix material Substances 0.000 claims abstract description 5
- 238000012545 processing Methods 0.000 claims abstract description 5
- 230000000007 visual effect Effects 0.000 claims description 38
- 238000012937 correction Methods 0.000 claims description 15
- 230000003044 adaptive effect Effects 0.000 claims description 10
- 238000003384 imaging method Methods 0.000 abstract description 9
- 230000004075 alteration Effects 0.000 abstract description 6
- 238000005457 optimization Methods 0.000 abstract 1
- 230000000694 effects Effects 0.000 description 5
- 230000007704 transition Effects 0.000 description 2
- 206010020675 Hypermetropia Diseases 0.000 description 1
- 208000029091 Refraction disease Diseases 0.000 description 1
- 208000004350 Strabismus Diseases 0.000 description 1
- 230000009471 action Effects 0.000 description 1
- 230000004430 ametropia Effects 0.000 description 1
- 201000009310 astigmatism Diseases 0.000 description 1
- 230000008859 change Effects 0.000 description 1
- 238000011161 development Methods 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 201000006318 hyperopia Diseases 0.000 description 1
- 230000004305 hyperopia Effects 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
- 208000001491 myopia Diseases 0.000 description 1
- 230000004379 myopia Effects 0.000 description 1
- 201000010041 presbyopia Diseases 0.000 description 1
- 230000008569 process Effects 0.000 description 1
- 208000014733 refractive error Diseases 0.000 description 1
- 238000011160 research Methods 0.000 description 1
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Abstract
A provided design method for an aspherical spectacle lens based on human eye dynamical optical axis is characterized by comprising the following steps: step 1, designing a horizontal meridian according to a high-order polynomial; step 2, based on human eye optical axis variation, respectively designing differential-element lenses at the center and at one side of the horizontal meridian; step 3, rotating the differential-element lenses designed in the step 2 round the center of a spectacle lens blank for one cycle, so as to obtain a differential-element lens array covering the spectacle lens blank; and step 4, performing surface reconstruction on overlapped areas of adjacent differential-element lenses, performing integral curved surface fitting on the whole differential-element lens array, calculating optimum spherical degree and performing optimization, so as to obtain dot-matrix processing data of the aspherical spectacle lens. According to the design method for the aspherical spectacle lens based on human eye dynamical optical axis, the dynamical variation of human eye optical axis is considered, and the aspherical spectacle lens capable of being wore comfortably and avoiding imaging jump and off-axis aberration is designed, and the aspherical spectacle lens helps to provide perfect eyesight rectification for a wearer.
Description
Technical Field
The invention relates to a design method of a spectacle lens, in particular to a design method of an aspheric spectacle lens based on a human eye dynamic visual axis.
Background
Spectacles are used as an imaging lens to correct a variety of human vision problems, including myopia, hyperopia, astigmatism, presbyopia, or strabismus. Conventional spectacles are mainly used for correcting ametropia, i.e. for correcting myopic or hyperopic eyes with concave or convex lenses of appropriate power.
Aspheric ophthalmic lenses are very complex optical elements whose research involves a cross-discipline of optics, ergonomics and mathematics. The development of aspheric lenses has been over a century or more, and optical engineers and scientists around the world are still constantly searching to gradually improve the performance of aspheric lenses in various aspects. Aspheric eyeglasses have many irreplaceable advantages over spherical eyeglasses, which also makes the study of aspheric eyeglasses more and more important and desirable.
Although there are many methods for designing aspheric spectacle lenses at home and abroad at present, and some of the methods are widely used in life, the existing methods all start from a single imaging principle, only consider the influence of the whole aberration, and do not pay attention to the eye habit of people. When people observe objects, eyes can rotate continuously, and when the eyes rotate to different positions, effective light imaged on retinas in the visual axis direction only passes through a small area on the lens. As the eye rotates, the effective light for imaging passes through different areas of the lens, which is not considered by the conventional aspheric lens design method, resulting in poor imaging performance and comfort of the lens.
Disclosure of Invention
The present invention has been made to solve the above problems, and an object of the present invention is to provide a method of designing an aspherical spectacle lens capable of improving off-axis aberration in consideration of the actual eye condition of a human.
In order to achieve the purpose, the invention adopts the following technical scheme:
the invention provides a design method of an aspheric spectacle lens based on a dynamic visual axis of a human eye, which is characterized by comprising the following steps: the method comprises the following steps: designing a horizontal meridian according to a high-order polynomial, wherein the horizontal meridian is a horizontal curve which is attached to the blank lens and passes through the center of the blank lens; step two: respectively designing a plurality of micro-lenses positioned at the center of a horizontal meridian and one side of the horizontal meridian, wherein the centers of the micro-lenses are all on the horizontal meridian, the optical axes of the micro-lenses are all overlapped with the corresponding visual axes of human eyes, the focal power of the micro-lenses is consistent with the vision correction adaptive focal power of the human eyes, the front surface curvature of each micro-lens is consistent with the horizontal meridian, and the rear surface curvature of each micro-lens is determined by the front surface curvature and the vision correction adaptive focal power of the human eyes; step three: respectively rotating all the micro-element lenses which are designed in the step two and are positioned on one side of the horizontal meridian for a circle around the center of the blank lens to obtain a micro-element lens array covering the whole blank lens; step four: and performing surface type reconstruction on the overlapped areas of the adjacent micro-element lenses by adopting a method of solving model parameters by using a multi-objective function, performing overall surface fitting on the whole micro-element lens array, calculating average sphericity according to a differential geometry principle, optimizing, realizing optimal sphericity distribution, and obtaining dot matrix processing data of the aspheric spectacle lenses.
The method for designing the aspheric spectacle lens based on the human eye dynamic visual axis can also have the following characteristics: wherein, the micro lens is a spherical lens.
The method for designing the aspheric spectacle lens based on the human eye dynamic visual axis can also have the following characteristics: the size of the micro lens is matched with the size of the minimum photosensitive field range of human eyes.
The method for designing the aspheric spectacle lens based on the human eye dynamic visual axis can also have the following characteristics: wherein, the distance between the centers of the adjacent micro lenses is 0.6 to 1 time of the radius of the micro lens.
In addition, the method for designing the aspheric spectacle lens based on the human eye dynamic visual axis according to the invention can also have the following characteristics: in the second step, the curvature of the back surface of each micro-element lens can be made to be consistent with the horizontal meridian, and the curvature of the front surface of each micro-element lens is determined by the curvature of the back surface and the vision correction adaptive power of the human eye.
Action and Effect of the invention
According to the design method of the aspheric spectacle lens based on the dynamic visual axis of the human eye, which is provided by the invention, the dynamic visual axis-based micro-element lens array is designed into the aspheric spectacle lens, so that the spherical mean square error in a visual field range can be reduced, and a thinner and thinner spectacle lens can be designed. The design method considers the dynamic change of the visual axis of human eyes, can design the aspheric lens which is closer to the eye using habit of a wearer and more comfortable, avoids the imaging jump and uneven off-axis aberration of the lens, and provides perfect vision correction for the wearer.
Drawings
FIG. 1 is a schematic view of a microlens array arrangement on an aspherical ophthalmic lens;
FIG. 2 is a schematic view of the optical axis of the visual axis of a human eye and the corresponding micro-element lens when the visual axis is deviated from the center position of the lens.
Detailed Description
The following describes the design method of the aspheric spectacle lens based on the dynamic visual axis of the human eye in detail with reference to the accompanying drawings.
Fig. 1 is a schematic diagram of a microlens array distribution on an aspherical spectacle lens.
As shown in fig. 1, the aspherical spectacle lens 10 includes a blank lens 11, a central microlens 12, and a microlens arrayed to cover the entire aspherical spectacle lens 10.
The method comprises the following steps: the horizontal curve fitted to the blank lens 11 and passing through the center thereof is set as a horizontal meridian 14, and the horizontal meridian 14 conforms to a high-order polynomial. The midpoint of the horizontal meridian 14 is the center of the blank lens 11, and the curvature of the horizontal meridian 14 coincides with the surface curvature of the blank lens 11.
Step two: the central micro-element lens 12 located in the middle of the horizontal meridian 14 and the plurality of micro-element lenses located on the left side of the horizontal meridian 14 are respectively designed, so that the center of each micro-element lens is located on the horizontal meridian 14, the size of each micro-element lens is matched with the minimum photosensitive field range of a human eye, the optical axis of each micro-element lens is overlapped with the corresponding visual axis of the human eye, the focal power of each micro-element lens is consistent with the vision correction adaptive focal power of the human eye, the front surface curvature of each micro-element lens is consistent with the horizontal meridian 14, and the rear surface curvature is determined by the front surface curvature and the vision correction adaptive focal power of the human.
A right-hand Cartesian coordinate system is established by taking the center of the human eyes as an origin, the direction from the center of the lens to the human eyes is a z-axis, and the vertical downward direction is a y-axis. For the central micro-element lens 12, the curvature of the front surface and the central thickness are both consistent with those of the blank lens 11, and the curvature radius of the rear surface of the central micro-element lens 12 obtained by the lens focal length formula is as follows:
in the formula, R0Is the radius of curvature of the rear surface of the central microlens 12, n is the refractive index of the blank lens 11, f0' is the focal length of the lens, d, matched to the power of the eye to correct vision0Is the center thickness of the blank lens 11 and R' is the radius of curvature of the front surface of the central microlens 12.
The expression for the back surface of the central microlens 12 can be given by:
in the formula I0Is the distance from the center of the human eye to the back surface of the blank lens.
If the center-to-center distance between the adjacent microlens 13 and the central microlens 12 is the radius of the microlens, the transition formula is calculated from the geometric relationship as follows:
wherein, <math>
<mrow>
<mi>s</mi>
<mo>=</mo>
<mi>R</mi>
<mo>-</mo>
<msqrt>
<msup>
<mi>R</mi>
<mn>2</mn>
</msup>
<mo>-</mo>
<msup>
<mi>ρ</mi>
<mn>2</mn>
</msup>
</msqrt>
</mrow>
</math>
where l is the distance from the center of the human eye to the rear surface of the microlens 13, l' is the distance from the center of the human eye to the front surface of the microlens 13, and the subscriptsFIndicating that the parameter is that of a previously known microlens, subscript0It means that the parameter is a parameter of the center microlens 12, ρ is a section radius of the microlens 13, s is a transition parameter, δ is an angle between an optical axis of the microlens 13 and a visual axis, and β is an angle between the center microlens 12 and the optical axis of the microlens 13.
The expression of the rear surface of the microlens 13 can be given by:
wherein Φ is an angle between the optical axis of the microlens 13 and the z-axis, and other parameters have the same meanings as above.
The parameters of all the micro-lenses on the left side of the horizontal meridian 14 can be obtained through the iterative operation.
Step three: and respectively rotating all the micro-lenses on the left side of the horizontal meridian 14 around the center of the blank lens 11 for a circle, so that the micro-lenses cover the whole blank lens 11, and the distance between the centers of the adjacent micro-lenses is the radius of the micro-lenses.
Step four: the front and back surface rise of the blank lens 11 is determined by the front and back surface rise of the micro-element lens, and the front and back surface rise of the blank lens 11 in the overlapping area of the micro-element lens is obtained by weighted average of the front and back surface rise of each micro-element lens in the area. And performing surface type reconstruction on the overlapped area of the adjacent micro-element lenses by adopting a method of solving model parameters by using a multi-objective function, then performing overall surface fitting on the whole micro-element lens array, calculating the average sphericity according to a differential geometric principle, and optimizing. The processes of the curved surface reconstruction, fitting and calculation are all completed through computer software Mathemetics, and finally the dot matrix processing data of the aspheric surface spectacle lens 10 are obtained.
FIG. 2 is a schematic view of the optical axis of the visual axis of a human eye and the corresponding micro-element lens when the visual axis is deviated from the center position of the lens.
As shown in fig. 2, the visual axis corresponds to the microlens 15 of the aspheric spectacle lens 10 when the human eye looks up.
When the human eyes look up, the visual axis deviates from the optical axis of the central micro-element lens 12, and at the moment, the optical axis of the micro-element lens 15 corresponding to the visual axis coincides with the visual axis of the human eyes, so that the vision correction of the human eyes is realized.
Effects and effects of the embodiments
According to the design method of the aspheric spectacle lens based on the dynamic visual axis of the human eye, which is related by the embodiment, because the lens array is formed by a series of micro-lenses, and each micro-lens corresponds to the corresponding visual axis of the human eye and vision correction adaptive focal power, the imaging quality of the spectacle lens can be improved, and the aberration on the visual field of the human eye can be corrected. All the micro lenses adopt spherical lenses, so that the design is simple and the cost is low; the size of the micro element lens is matched with the size of the minimum photosensitive field range of human eyes, and the optimal imaging effect can be achieved on the whole aspheric lens. The design method can provide perfect vision correction for lens wearers, and can design thinner lenses, thereby improving the wearing comfort level.
Of course, the design method of the aspheric ophthalmic lens based on the dynamic visual axis of human eye according to the present invention is not limited to the above embodiments. The above description is only a basic description of the present invention, and any equivalent changes made according to the technical solution of the present invention should fall within the protection scope of the present invention.
In addition, the posterior surface curvature of the microlens of the present invention can be made to coincide with the horizontal meridian, and the anterior surface curvature of the microlens is determined by its posterior surface curvature and the correction fit power of the human eye.
In addition, the center-to-center distance between adjacent microlens may be any value within a range of 0.6 to 1 times the radius of the microlens.
In addition, the size of the micro lens can be larger than the minimum photosensitive field range of the human eye, the production cost can be reduced, although the perfect vision correction in the embodiment can not be achieved, the aberration on the field of the human eye can be corrected to a certain degree, the wearing comfort level is improved, and the imaging effect better than that of a common aspheric spectacle lens is obtained.
Claims (8)
1. A design method of an aspheric surface spectacle lens based on a human eye dynamic visual axis is characterized by comprising the following steps:
the method comprises the following steps: designing a horizontal meridian according to a high-order polynomial, wherein the horizontal meridian is a horizontal curve which is attached to a blank lens and passes through the center of the blank lens, and the midpoint of the horizontal meridian is located at the center of the blank lens;
step two: respectively designing a plurality of micro-element lenses positioned at the middle point of the horizontal meridian and one side of the horizontal meridian,
the centers of the micro-lenses are all on the horizontal meridian, the optical axes of the micro-lenses are all coincident with the corresponding visual axes of human eyes, the focal power of the micro-lenses is consistent with the vision correction adaptive focal power of the human eyes, the front surface curvature of the micro-lenses is consistent with the horizontal meridian, and the rear surface curvature of each micro-lens is determined by the front surface curvature and the vision correction adaptive focal power of the human eyes;
step three: rotating all the micro-element lenses which are designed in the step two and are positioned on one side of the horizontal meridian for a circle around the center of the blank lens respectively to obtain a micro-element lens array covering the whole blank lens;
step four: and performing surface type reconstruction on the overlapped areas of the adjacent micro-lenses by adopting a method of solving model parameters by using a multi-objective function, performing overall surface fitting on the whole micro-lens array, calculating average sphericity according to a differential geometry principle, optimizing the average sphericity, realizing optimal sphericity distribution, and obtaining dot matrix processing data of the aspheric spectacle lens.
2. The method of claim 1 wherein the aspheric ophthalmic lens based on the dynamic visual axis of the human eye is characterized in that:
wherein, the micro lens is a spherical lens.
3. The method of claim 1 wherein the aspheric ophthalmic lens based on the dynamic visual axis of the human eye is characterized in that:
the size of the micro element lens is matched with the size of the minimum photosensitive field range of the human eye.
4. The method of claim 1 wherein the aspheric ophthalmic lens based on the dynamic visual axis of the human eye is characterized in that:
the distance between the centers of the adjacent micro lenses is 0.6-1 time of the radius of the micro lens.
5. A design method of an aspheric surface spectacle lens based on a human eye dynamic visual axis is characterized by comprising the following steps:
the method comprises the following steps: designing a horizontal meridian according to a high-order polynomial, wherein the horizontal meridian is a horizontal curve which is attached to a blank lens and passes through the center of the blank lens, and the midpoint of the horizontal meridian is located at the center of the blank lens;
step two: respectively designing a plurality of micro-element lenses positioned at the middle point of the horizontal meridian and one side of the horizontal meridian,
the centers of the micro-lenses are all on the horizontal meridian, the optical axes of the micro-lenses are all coincident with the corresponding visual axes of human eyes, the focal power of the micro-lenses is consistent with the vision correction adaptive focal power of the human eyes, the curvature of the rear surface of each micro-lens is consistent with the horizontal meridian, and the curvature of the front surface of each micro-lens is determined by the curvature of the rear surface of each micro-lens and the vision correction adaptive focal power of the human eyes;
step three: rotating all the micro-element lenses which are designed in the step two and are positioned on one side of the horizontal meridian for a circle around the center of the blank lens respectively to obtain a micro-element lens array covering the whole blank lens;
step four: and performing surface type reconstruction on the overlapped areas of the adjacent micro-lenses by adopting a method of solving model parameters by using a multi-objective function, performing overall surface fitting on the whole micro-lens array, calculating average sphericity according to a differential geometry principle, optimizing the average sphericity, realizing optimal sphericity distribution, and obtaining dot matrix processing data of the aspheric spectacle lens.
6. The method of claim 5 wherein the aspheric ophthalmic lens based on the dynamic visual axis of the human eye is characterized in that:
wherein, the micro lens is a spherical lens.
7. The method of claim 5 wherein the aspheric ophthalmic lens based on the dynamic visual axis of the human eye is characterized in that:
the size of the micro element lens is matched with the size of the minimum photosensitive field range of the human eye.
8. The method of claim 5 wherein the aspheric ophthalmic lens based on the dynamic visual axis of the human eye is characterized in that:
the distance between the centers of the adjacent micro lenses is 0.6-1 time of the radius of the micro lens.
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104714299A (en) * | 2015-03-28 | 2015-06-17 | 嘉兴市亮点光学仪器有限公司 | Aspherical lens and design method thereof |
| CN108469690A (en) * | 2018-02-02 | 2018-08-31 | 江苏明月光电科技有限公司 | A kind of more optical axis gradual change focus glasses design methods based between microcell |
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| CN1214125A (en) * | 1996-03-21 | 1999-04-14 | 索拉国际控股有限公司 | Improved single vision lenses |
| EP1550897A1 (en) * | 2002-10-08 | 2005-07-06 | Nikon-Essilor Co., Ltd. | Glasses lens designing method, production method for glasses lens and computer program |
| CN102422201A (en) * | 2009-03-12 | 2012-04-18 | Hoya株式会社 | Method of compiling shape data of a spectacle lens, spectacle lens shape data compiling device and spectacle lens |
| CN102768414A (en) * | 2012-07-30 | 2012-11-07 | 上海理工大学 | Design method for novel multi-optical axis progressive multi-focal lens |
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2014
- 2014-03-27 CN CN201410116967.6A patent/CN103941417B/en not_active Expired - Fee Related
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1214125A (en) * | 1996-03-21 | 1999-04-14 | 索拉国际控股有限公司 | Improved single vision lenses |
| EP1550897A1 (en) * | 2002-10-08 | 2005-07-06 | Nikon-Essilor Co., Ltd. | Glasses lens designing method, production method for glasses lens and computer program |
| CN102422201A (en) * | 2009-03-12 | 2012-04-18 | Hoya株式会社 | Method of compiling shape data of a spectacle lens, spectacle lens shape data compiling device and spectacle lens |
| CN102768414A (en) * | 2012-07-30 | 2012-11-07 | 上海理工大学 | Design method for novel multi-optical axis progressive multi-focal lens |
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104714299A (en) * | 2015-03-28 | 2015-06-17 | 嘉兴市亮点光学仪器有限公司 | Aspherical lens and design method thereof |
| CN108469690A (en) * | 2018-02-02 | 2018-08-31 | 江苏明月光电科技有限公司 | A kind of more optical axis gradual change focus glasses design methods based between microcell |
| CN108469690B (en) * | 2018-02-02 | 2019-10-01 | 江苏明月光电科技有限公司 | A kind of more optical axis gradual change focus glasses design methods based between microcell |
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