Design method and design device for multi-point defocus glasses lenses

Abstract

The present invention discloses a design method and a design device for multi-point defocus spectacle lenses. The above-mentioned design method is implemented based on a curved surface base lens array splicing method, wherein the spliced ​​surface is formed by splicing a base surface and a sub-spherical array. After determining the sagittal height and normal vector of the base surface at the sub-spherical position, the expression of the sub-spherical surface is obtained by a given curvature radius and aperture size, and the sagittal height of the spliced ​​surface at any sampling point is determined by comparing the local curvature and sagittal height of the base surface and the sub-spherical surface at the sampling point. The spliced ​​surface is obtained with continuous functions and no sudden changes at the boundary between the base surface and the sub-spherical surface, which is conducive to surface processing. The sub-spherical array can be custom arranged, and the surface parameters can be designed according to the required optical power of the base surface and the sub-spherical array. The surface description process in the above-mentioned design method is simple, the results are accurate, and it is easy to implement. The resulting spliced ​​surface is suitable for the design and simulation analysis of multi-point defocus spectacle lenses.

Description

Technical Field

[0001] The invention relates to a design method for a multi-point defocus spectacle lens and also relates to a corresponding design device, belonging to the field of multi-point defocus spectacle lens design. Background Art

[0002] Given the current global prevalence of myopia, myopia research has become a highly sought-after topic in the field of optometry. Once true myopia develops, it is irreversible. If uncontrolled, true myopia can develop into high myopia, posing significant health risks. Therefore, slowing the progression of myopia is of great clinical significance.

[0003] The function of general myopia lenses is only to correct the refractive power of the central field of view, and there is hyperopic defocus in the peripheral field of view, which can easily lead to problems such as eye axis growth and deepening of myopia. To address this problem, Hoya launched multi-zone positive optical defocus (DIMS: Defocus Incorporated Multiple Segments) eyeglass lenses in 2019, that is, multi-point defocus eyeglass lenses, and conducted long-term clinical trials. This lens can simultaneously achieve refractive correction and regional myopia defocus by setting 396 hexagonally arranged microlens arrays in an area with a diameter of 32mm in the center of the lens, and stimulate cone cells with myopic defocus light beams, thereby achieving the purpose of slowing down the deepening of myopia and slowing down the growth of the eye axis. However, this type of lens is difficult to manufacture and expensive to process, and there is currently a lack of comprehensive analysis of its mechanism and prediction of results. Summary of the Invention

[0004] The primary technical problem to be solved by the present invention is to provide a design method for multi-point defocus eyeglass lenses.

[0005] Another technical problem to be solved by the present invention is to provide a design device for multi-point defocus eyeglass lenses.

[0006] In order to achieve the above technical objectives, the present invention adopts the following technical solutions:

[0007] According to one aspect of the present invention, a method for designing a multi-point defocus spectacle lens is provided, comprising constructing a spliced ​​curved surface γ using a curved substrate lens array splicing method, wherein the curved substrate lens array splicing method comprises the following steps:

[0008] Step 1: The spliced ​​surface γ can be divided into the base surface α and multiple sub-spheres β i , i is a positive integer, and the base surface α is generated according to the curvature and quadratic coefficient, and each sub-sphere β is brought into i Position p i The coordinates in the XY plane (x i ,y i), calculate the position p of each sub-sphere i The vector height and first-order derivative of the base surface at the position p of the sub-sphere are determined from this i The normal vector f of the base surface at i , normal vector f i Use normalized vectors;

[0009] Step 2: Given the sub-sphere curvature radius r and its aperture radius h i , we can calculate the sag Δs of each sub-sphere’s vertex away from the base surface i and the offset length d of the center of each sub-sphere away from the base surface along the normal vector i ; By the above offset length d i and the normal vector f described in step 1 i Calculate the sub-sphere β i The coordinates of the center of the sphere, and then find the sub-sphere β i Expressions of

[0010] Step 3: For any sampling point, calculate the local curvature of the base surface α at the sampling point, and compare the base surface α with the sub-sphere β. i The local curvature and sagitta at the sampling point are used to determine the sagitta z(x,y) of the spliced ​​surface γ at the sampling point.

[0011] Preferably, in step 1, the base surface α uses a quadratic surface, and its specific expression is:

[0012]

[0013] Among them, c base represents the curvature, k base represents the quadratic coefficient, (x, y) is the coordinate on the base surface, z base (x,y) represents the base surface α;

[0014] The first derivative of the basis surface α and The expression is:

[0015]

[0016] in, is the simplified expression of the derivative of the basis surface α with respect to x, is the simplified expression of the derivative of the basis surface α with respect to y;

[0017] Subsphere β i The normal vector of the vertex is

[0018] Preferably, in step 2, the offset length d i The expression is:

[0019]

[0020] Subsphere β i The coordinates of the center of the sphere (x ci ,y ci ,z ci ) can be expressed as:

[0021] (x ci ,y ci z ci )=(x i ,y i ,z i )-d i f i ,

[0022] Among them, (x i ,y i ,z i ) is the i-th sub-sphere β i Position p i coordinates of

[0023] The sub-sphere β i It can be expressed as:

[0024]

[0025] Preferably, in step 3, the base surface α is a rotationally symmetric surface, and its local curvature c at point (x, y) is base (ρ) is expressed in radial coordinate ρ as:

[0026]

[0027] Subsphere β i The curvature c is expressed as:

[0028] Preferably, in step 3, for any sampling point, the sub-sphere β i The local curvature c i Equal to the curvature c of the sub-sphere, when the sub-sphere β i When the local curvature of the base surface α is of different sign, the splicing surface γ can be expressed as:

[0029]

[0030] When the subsphere β i When the local curvature of the sub-sphere β is of the same sign as the local curvature of the base surface α, i The local curvature c i Greater than the local curvature c of the base surface α base , the splicing surface γ can be expressed as:

[0031]

[0032] When the subsphere β i When the local curvature of the sub-sphere β is of the same sign as the local curvature of the base surface α, i The local curvature c i Less than the local curvature c of the base surface α base , the splicing surface γ can be expressed as:

[0033]

[0034] Preferably, step 3 includes the following sub-steps: calculating the local curvature of any sampling point of the base surface α, and calculating the local curvature of the base surface α and the adjacent sub-spheres β at the sampling point. i The local curvature and sagitta of the sampling point are used to determine whether the sampling point belongs to the base surface α. If so, the sagitta of the base surface α is used as the sagitta at the sampling point. Otherwise, the sagitta of the adjacent sub-spheres β is combined. i The local curvature and sagitta of γ are used to obtain the sagitta of the spliced ​​surface γ at the sampling point.

[0035] Preferably, the design process of designing multi-point defocus eyeglass lenses using the curved substrate lens array splicing method includes the following steps:

[0036] Step 101: The curvatures of the front and back surfaces of the base lens are adjusted according to the required corrective diopter D. c design;

[0037] Step 102: The sub-spherical surface is based on the front surface S1 of the base lens. The curvature of the sub-spherical surface is determined according to the required myopia defocus diopter D. sub design;

[0038] Step 103: In a curved surface coordinate system with the base curved surface as the coordinate axis, generate the arrangement points q of the sub-spherical array on the base curved surface according to the required arrangement method. i , map the coordinates of the arrangement points from the curved coordinate system to the plane perpendicular to the Z axis in the rectangular coordinate system, and obtain the β of each sub-sphere i Position p i Coordinates in the XY plane;

[0039] Step 104: Combine the curved surface base lens array stitching method to obtain the stitching curved surface γ, and use the stitching curved surface γ as the front surface of the multi-point defocus spectacle lens, and use the back surface of the base lens as the back surface of the multi-point defocus spectacle lens to generate the multi-point defocus spectacle lens.

[0040] Preferably, in step 101, the glasses are regarded as thin lenses, and the corrected diopter D c The expression is:

[0041]

[0042] Wherein, f represents the focal length of the base lens, n2 represents the refractive index of the base lens material, n1 represents the refractive index of air, R1 represents the curvature radius of the front surface S1 of the base lens, and R2 represents the curvature radius of the back surface S2 of the base lens.

[0043] Preferably, in step 102, the myopic defocus diopter D sub The expression is:

[0044]

[0045] Where r represents the radius of curvature of the sub-sphere.

[0046] Preferably, in step 103, the process of mapping the arrangement point coordinates from the curved coordinate system to the coordinates in the XY plane of the rectangular coordinate system uses the following mapping expression:

[0047]

[0048] Among them, (x i_suf ,y i_suf ) represents the point q before mapping i Coordinates in the surface coordinate system, (x i ,y i ) represents the sub-sphere β after mapping i Position p i Coordinates on the XY plane in rectangular coordinates.

[0049] According to a second aspect of the present invention, there is provided a device for designing a multi-point defocus spectacle lens, for implementing the above-mentioned design method, comprising:

[0050] The base lens curvature generating unit is configured to correct the diopter D according to the required diopter D c Designing the curvature of the front and back surfaces of the base lens;

[0051] The sub-spherical curvature generating unit is configured to generate a sub-spherical curvature according to the required myopia defocus diopter D sub Design the curvature of the sub-spherical surface, with the front surface S1 of the base lens as the base curved surface;

[0052] The sub-sphere position generating unit is configured to generate the arrangement points q of the sub-sphere array on the base surface in the surface coordinate system with the base surface as the coordinate axis according to the required arrangement mode. i , and map the coordinates of the arrangement points from the curved coordinate system to the XY plane of the rectangular coordinate system to obtain the β of each sub-sphere i Position p i The coordinates in the XY plane (x i,y i );

[0053] a splicing curved surface profile description unit, configured to generate the splicing curved surface γ according to the curved surface base lens array splicing method; and

[0054] The multi-point defocus spectacle lens generating unit is configured to use the splicing curved surface γ as the front surface of the multi-point defocus spectacle lens and the back surface of the base lens as the back surface of the multi-point defocus spectacle lens to generate the multi-point defocus spectacle lens.

[0055] According to a third aspect of the present invention, a computer-readable storage medium is provided, on which a computer program is stored, and the computer program is used to enable a computer to execute the above-mentioned multi-point defocus eyeglass lens design method.

[0056] According to a fourth aspect of the present invention, an electronic device is provided, comprising at least a processor and a memory, wherein the memory stores a computer program, and when the processor executes the computer program, the multi-point defocus eyeglass lens design method is implemented.

[0057] The optical design method for multi-point defocused eyeglass lenses provided by the present invention is based on a method for splicing a curved surface base lens array. This method can generate a spliced ​​surface, wherein the spliced ​​surface uses a quadratic surface as a base and splices an array of sub-spherical surfaces on the quadratic surface. After determining the position and normal vector of the sub-spherical surface on the base surface, an expression for the sub-spherical surface is obtained using the curvature radius and aperture size given by the sub-spherical surface. The sagittal height at any sampling point in the spliced ​​surface is determined by comparing the local curvature and sagittal height of the base surface and the sub-spherical surface at the sampling point, thereby obtaining a surface shape with continuous functions and no abrupt changes at the boundary between the base surface and the sub-spherical surface. The spliced ​​surface obtained by this design method is conducive to lens surface processing. The sub-spherical surface array can be custom arranged, and the parameters of the spliced ​​surface can be designed based on the required optical power of the base surface and the optical power of the sub-spherical surface. The surface description method in this invention is simple, produces accurate results, and is easy to implement. The resulting spliced ​​surface is suitable for the design of multi-point defocus eyeglass lenses that require specialized lens arrays. By generating the lens array's arrangement points within a curved coordinate system with the base surface as the coordinate axis, the lens array's arrangement is freed from the constraints of a fixed plane and can be customized to meet a wide range of application scenarios. This design method provides a comprehensive approach to the design of multi-point defocus eyeglass lenses and facilitates simulation and analysis of their optical performance. BRIEF DESCRIPTION OF THE DRAWINGS

[0058] Figure 1 A flow chart of the method for splicing a curved substrate lens array provided by the present invention;

[0059] Figure 2 The figure is a schematic diagram showing the expression determined by the curvature radius of the sub-sphere and the aperture size;

[0060] Figure 3 Schematic diagram of determining the sagittal height of any sampling point on the spliced ​​surface by comparing the local curvature and sagittal height of the base surface and the sub-sphere;

[0061] Figure 4 This is a schematic diagram of a single-view myopia glasses lens and a human eye model in optical simulation software;

[0062] Figure 5 A flow chart of the multi-point defocus spectacle lens design method provided by the present invention;

[0063] Figure 6(a) 、 6(b) and 6(c) are schematic diagrams of the arrangement of three seed spherical arrays on the base surface;

[0064] Figure 7 Schematic diagram of mapping the position of the sub-spherical array from the curved coordinate system to the rectangular coordinate system XY plane;

[0065] Figure 8 Schematic diagram of modeling of multi-point defocus eyeglass lenses using an annular defocusing lens;

[0066] Figure 9 This is a schematic diagram of the multi-point defocus glasses lens and human eye model provided by the present invention in optical simulation software;

[0067] Figure 10(a) and Figure 10(b) are the comparison of MTF simulation results of single-viewpoint glasses lens and multi-point defocus glasses lens respectively;

[0068] Figures 11(a) and 11(b) are comparisons of wavefront errors of single-view glasses and multi-point defocus glasses at different fields of view, respectively;

[0069] Figure 12(a) 、 12(b) , 12(c) and 12(d) are the two-dimensional image simulation comparisons of single-view glasses lens and multi-point defocus glasses lens respectively;

[0070] Figure 13 This is a hardware architecture diagram of an electronic device provided by the present invention;

[0071] Figure 14 This is a structural diagram of a design device for a multi-point defocused spectacle lens provided by the present invention. DETAILED DESCRIPTION

[0072] The following will clearly and completely describe the technical solutions in the embodiments of the present invention in conjunction with the accompanying drawings. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. All other embodiments obtained by ordinary technicians in this field based on the embodiments of the present invention without making any creative efforts shall fall within the scope of protection of the present invention.

[0073] It should be noted that if the embodiments of the present invention involve directional indications (such as up, down, left, right, front, back, etc.), the directional indications are only used to explain the relative position relationship, movement status, etc. between the various components under a certain specific posture (as shown in the accompanying drawings). If the specific posture changes, the directional indications will also change accordingly.

[0074] The multi-point defocus spectacle lens provided by the present invention includes: a base lens, which is mainly responsible for causing a light beam incident from the object side surface to be emitted from the eyeball side surface and converged onto the retina through the eyeball; and a plurality of microlenses arranged on the base lens, wherein the microlenses are defocusing areas connected to the surface of the base lens. The microlens array composed of the plurality of microlenses is mainly responsible for causing a light beam incident from the object side surface to be emitted from the eyeball side surface and converged onto the front or back side of the retina through the eyeball. When the light is defocused and converges on the front side of the retina and irradiates the retina in a divergent form, it corresponds to myopic defocus and is used for myopia prevention and control; when the light is defocused and irradiates the retina in a convergent form and converges on the back side of the retina, it corresponds to hyperopic defocus and is suitable for treating hyperopia patients. The present invention focuses on describing the design method of multi-point defocus spectacle lenses for myopia defocus, but it cannot rule out the application of this design method to the design of hyperopic defocus lenses, the difference being that the refractive power of the lens array used therein is different. The base lens is a portion that can realize the wearer's prescribed refractive power from the perspective of geometric optics. The microlens array is an area in which at least a portion of the area does not converge to the focusing position based on the base lens from the perspective of geometric optics.

[0075] The design method of the multi-point defocus eyeglass lens provided by the present invention is implemented based on the method of splicing a curved surface base lens array. A spliced ​​surface can be obtained by the method of splicing a curved surface base lens array, wherein the spliced ​​surface uses a quadratic surface as the base surface and splices a sub-spherical array on the quadratic surface. The surface shape of the spliced ​​surface is described using the spliced ​​quadratic surface and the sub-spherical array, and the sagittal height of the spliced ​​surface at any sampling point is determined by calculating and comparing the local curvature and sagittal height of the base surface and the sub-spherical surface, thereby obtaining a surface shape with continuous functions and no sudden changes at the boundary between the microlens array and the base surface. The above-mentioned design method of the multi-point defocus eyeglass lens is used to simulate the multi-point defocus eyeglass lens. This type of surface shape can be directly expressed in mathematical form in optical simulation software (for example, CODEV, ZEMAX, LIGHTTOOLS, VIRTUALLAB FUSION, etc.), thereby realizing the simulation and testing of the multi-point defocus eyeglass lens.

[0076] The design method and device for the multi-point defocus spectacle lenses provided by the present invention are described in detail below with reference to the accompanying drawings.

[0077] Design methods for multi-point defocus eyeglass lenses, including Figure 1 The method for stitching a curved surface base lens array is shown, and the method is used to generate a stitched surface. The method comprises the following steps: Step 1: Generate a base surface, substitute the coordinates of each sub-sphere position in the sub-sphere array point in the XY plane into the base surface, calculate the base surface's sag and surface normal at the sub-sphere position, and determine the orientation of the sub-sphere vertex from the normal; Step 2: Given the curvature radius and aperture size of the sub-sphere, calculate the coordinates of the vertex and center of each sub-sphere based on its orientation, and then obtain an expression for the sub-sphere; Step 3: Calculate the local curvature of the base surface at any sampling point, and obtain the sag of the stitched surface at that sampling point based on the local curvature and sag of the base surface and sub-sphere at that sampling point.

[0078] Furthermore, in the above process, the sub-sphere array points are discretely distributed, and adjacent sub-spheres can be separated from each other on the base surface, or some sub-spheres can be aggregated, resulting in a connecting area that belongs to two or more adjacent sub-spheres at the same time; how to determine the vector height of the sampling point in the connecting area requires comparing the local curvature and vector height of the base surface and the adjacent multiple sub-spheres at the sampling point position. Specifically, the above step 3 can also include the following sub-steps: calculating the local curvature of any sampling point on the base surface, and judging whether the sampling point belongs to the base surface based on the local curvature and vector height of the base surface and the adjacent multiple sub-spheres; if so, using the vector height of the base surface as the vector height of the splicing surface at that point; otherwise, calculating the vector height of the adjacent multiple sub-spheres at that point, and combining the local curvature and vector height of the adjacent multiple sub-spheres to determine the vector height of the splicing surface at that sampling point.

[0079] Specifically, quadratic surfaces have rotational symmetry, can be machined with high precision, and can produce ideal images for paraxial incident light in a variety of situations. Due to the large spherical aberration of spherical surfaces, some eyeglass lenses are now described optically using quadratic surfaces or aspherical surfaces. Many special surface shapes use quadratic surfaces as their base surfaces, such as the commonly used XY polynomial free-form surfaces and Zernike polynomial free-form surfaces. The optical description equation of a quadratic surface can be expressed as:

[0080]

[0081] Where c is the curvature of the surface vertex, k is the quadratic constant, and (x, y) are the coordinates of the surface point.

[0082] The spliced ​​surface obtained by the method for splicing lens arrays based on curved substrates provided by the present invention is formed by arranging an array of sub-spherical surfaces on a quadratic surface as a base surface. However, directly splicing sub-spherical surfaces on the surface cannot ensure the continuity of the surface. The sudden change of the surface will increase the difficulty of processing and reduce the optical performance of the optical description. Therefore, it is necessary to make reasonable constraints on the sub-spherical surfaces to construct a continuously spliced ​​lens array. The construction process is as follows: Figure 2 As shown, the following steps are included:

[0083] Step 1: The spliced ​​surface γ can be divided into the base surface α and multiple sub-spheres β i , i is a positive integer, and the base surface α is generated according to the curvature and quadratic coefficient, and each sub-sphere β is brought into i Position p i The position coordinate (x i ,y i ), calculate the β of each sub-sphere i Position p i The value z and first-order derivative of the basis surface at And thus determine the sub-sphere position p i The normal vector f of the base surface at i , the normal vector is also the normal vector of the vertex of the sub-sphere, the normal vector f i Use the normalized vector. Among them, the sub-sphere β i Position p i The position coordinate (x i ,y i ) and the sub-sphere arrangement points q generated according to the required array arrangement i There is a mapping relationship between the coordinates in the surface coordinate system, and the two satisfy the triangular mapping relationship. The base surface is on the sub-sphere β i Position p i The values ​​are:

[0084]

[0085] Among them, c base is the curvature of the base surface, k base is the quadratic coefficient of the base surface, (x, y) is the coordinate on the base surface, z base (x,y) represents the base surface α;

[0086] Its first-order derivative and The expression is:

[0087]

[0088] in, is the simplified expression of the derivative of the basis surface α with respect to x, is a simplified expression for the derivative of the basis surface α with respect to y.

[0089] like Figure 2 As shown in the figure, in order to obtain a sub-sphere that is continuous with the base surface while determining the diameter radius of the sub-sphere, it is necessary to use the normal vector of the base surface as the local coordinate axis of the sub-sphere. For the sub-sphere array, it is necessary to solve the normal vector of the base surface at each position point, while for the annular defocused surface, it is only necessary to solve the normal vector of the base surface for one point in the same radial coordinate, for example, for (0,y i ) point. The subsequent parameter solutions for the annular defocused surface and the sub-spherical array are similar, differing only in the form of the expressions.

[0090] like Figure 2 As shown, the direction of the normal vector is defined as the negative direction of the Z axis, and the normal vector f i It can be expressed as:

[0091]

[0092] In the subsequent description, the default normal vector used is the result of vector normalization.

[0093] Step 2, since the sub-sphere position p i The normal vector f of the base surface at i It has been determined that when the curvature radius r of the sub-sphere and the aperture radius h i After being defined, the coordinates of the sphere center and the vertex positions can be determined. Figure 2 As shown, the vector height Δs of the vertices of each sub-sphere away from the base can be calculated i and the offset length d of the center of each sub-sphere from the base i ; By the above offset length d i and the normal vector f described in step 1 iCalculate the sub-sphere β i The coordinates of the center of the sphere are obtained, and then the expression of the sub-sphere is obtained. The offset length d i The expression is:

[0094]

[0095] The coordinates of the center of the sphere (x ci ,y ci ,z ci ) can be expressed as:

[0096] (x ci ,y ci ,z ci )=(x i ,y i ,z i )-d i f i (6)

[0097] Among them, (x i ,y i ,z i ) is the i-th sub-sphere β i Position p i The coordinates of (x ci ,y ci ,z ci ) represents the i-th sub-sphere β i The coordinates of the center of the sphere;

[0098] The sub-sphere β i It can be expressed as:

[0099]

[0100] From the above calculation process, we can know that the sub-sphere β i Position p i is the intersection point of the line connecting the vertex of each sub-sphere and the center of the sphere and the base surface α, and the sub-sphere β i Position p i The coordinates in the XY plane (x i ,y i ) is obtained by referring to the generation and coordinate transformation process of the sub-sphere array points below. i Position p i The coordinates in the XY plane (x i ,y i ), combined with the surface expression of the base surface α, calculate the sub-sphere β i Position p i The height loss z of the base surface α at i , we can calculate the sub-sphere β i Position pi The coordinates (x i ,y i ,z i ).

[0101] In step 3, when the base is a quadratic surface, it loses rotational symmetry away from the Z axis. Because the sub-spheres must be continuous with the base surface, the aperture of the sub-spheres spliced ​​onto the quadratic surface will not be a perfect circle. If the sub-spheres obtained in step 2 are directly spliced ​​with the base surface using the sub-sphere's designed aperture as a constraint, a sudden change will occur at the surface junction. This method determines the sagittal elevation of the sampling points of the spliced ​​surface by comparing the local curvature and sagittal elevation of the base surface and the sub-sphere point by point, accurately delineating the aperture profile of the sub-spheres.

[0102] The base surface α is a rotationally symmetric surface, and its local curvature c at the sampling point (x, y) is base (ρ) is expressed in radial coordinate ρ as:

[0103]

[0104] The curvature c of the sub-sphere can be expressed as:

[0105]

[0106] For any sampling point, the local curvature c of the sub-sphere is i Equal to the curvature c of the sub-sphere, when the sub-sphere β i When the local curvature of and the local curvature of the base surface α have different signs, the splicing surface γ can be expressed as:

[0107]

[0108] When the subsphere β i When the local curvature of and the local curvature of the base surface α have the same sign, the local curvature of the sub-sphere will affect the value of the splicing surface. Figure 3 As shown in the left figure, when the sub-sphere β i The local curvature c i Greater than the local curvature c of the base surface α base , the splicing surface γ can be expressed as:

[0109]

[0110] like Figure 3 As shown in the figure on the right, when the sub-sphere β i The local curvature c i Less than the local curvature c of the base surface α base , the splicing surface γ can be expressed as:

[0111]

[0112] The sagitta of any sampling point in the spliced ​​surface is determined by comparing the local curvature and sagitta of the base surface and sub-spheres at that sampling point. When a sampling point may belong to two or more adjacent sub-spheres, the local curvature and sagitta of the base surface and multiple sub-spheres at that sampling point are calculated separately. Based on the above judgment logic, the local curvature and sagitta of the base surface and multiple sub-spheres at that sampling point are compared to obtain the sagitta of the sampling point, thereby accurately depicting the surface shape of the spliced ​​surface.

[0113] The following examples illustrate the application and beneficial effects of the curved substrate lens array stitching method in the optical design of multi-point defocus spectacle lenses. By using this method to optically describe the surface of a multi-point defocus spectacle lens, the feasibility of the method is verified, as well as the reliability of the stitched curved surface simulated multi-point defocus spectacle lens obtained using this method.

[0114] like Figure 4 Shown is a simulation model of single-view myopia glasses paired with a human eye model. This simulation model includes a convex-concave lens L, which serves as the myopic lens, and a myopic human eye model E. By using the parameters of the base lens to establish the base lens model, the single-view myopia glasses are obtained. In the simulation testing of multi-point defocus glasses below, the single-view myopia glasses are used as a comparative example to evaluate the simulation results of the multi-point defocus glasses.

[0115] Figure 5 The method for designing a multi-point defocused spectacle lens provided by the present invention is shown, which utilizes the above-mentioned curved substrate lens array splicing method to design a multi-point defocused spectacle lens, comprising the following steps:

[0116] Step 101: Taking an ideal thin lens as an example, the curvature of the base lens is determined according to the required corrective diopter D. c Optically described, the expression of the corrected diopter is:

[0117]

[0118] Wherein, f represents the focal length of the base lens, n2 represents the refractive index of the base lens material, n1 represents the refractive index of air, R1 represents the curvature radius of the front surface S1 of the base lens, and R2 represents the curvature radius of the back surface S2 of the base lens.

[0119] With the glasses’ diopter as the constraint, the human eye model used has +3.0D of emmetropia defocus, which corresponds to the glasses’ corrected diopter D. c =-3.0 D. The optimization results show that the curvature radii of the front surface S1 and the back surface S2 of the base lens are R1 = 798 mm and R2 = 173.1 mm.

[0120] Step 102: The sub-spherical surface is based on the front surface S1 of the base lens, and the curvature is determined by the required myopia defocus diopter D. sub Optical description. The expression of the myopic defocus diopter is:

[0121]

[0122] Where r represents the radius of curvature of the sub-sphere. The myopic defocus diopter is +3.5D. Since R2 has been determined through optimization in step 101, r has a unique solution, r = 91 mm.

[0123] Step 103: In a curved surface coordinate system with the base curved surface as the coordinate axis, generate the arrangement points q of the sub-spherical array on the base curved surface according to the required arrangement method. i , arrange the points q i Coordinate (x i_surf ,y i_surf ) is mapped from the curved surface coordinate system to the plane perpendicular to the Z axis in the rectangular coordinate system, and the sub-sphere β is obtained. i Position p i The coordinates in the XY plane (x i ,y i ), the subscript i of the corresponding coordinates before and after mapping has the same value, i represents the sequence number of the arrangement point in the sub-sphere array, which is a positive integer.

[0124] Specifically, if Figure 7 As shown, a surface coordinate system is established with the base surface α as the coordinate axis, and the coordinate axis is distributed along the base surface α. The arrangement points q of the sub-sphere array on the base surface are generated according to the required arrangement method. i Arrays of sub-spheres can be generated in a variety of arrangements: hexagonal (see Figure 6(a)), rectangular (see Figure 6(b)), tangentially closely packed circular (see Figure 6(c)), radially closely packed circular, and so on. The sub-sphere array, taking the hexagonal arrangement shown in Figure 6(a) as an example, has an aperture of 1 mm, a lens spacing of 1.5 mm, and is arranged within a circular area with a diameter of 36 mm. There are no sub-spheres arranged within the circular area with a central diameter of 9 mm.

[0125] Arrange points q on the sub-sphere i The coordinates are mapped from the curved surface coordinate system to the horizontal plane perpendicular to the Z axis in the rectangular coordinate system (ie, the XY plane), and the position p of each sub-sphere is obtained. i Coordinates in the XY plane. The mapping expression used is:

[0126]

[0127] Among them, (x i_surf ,y i_surf) represents the arrangement point q in the surface coordinate system before mapping i The coordinates of (x i ,y i ) represents the position p of the sub-sphere after mapping i Coordinates in the XY plane.

[0128] by Figure 7 The multiple arrangement points q shown i For example, the purpose of generating sub-sphere arrangement points in the base surface coordinate system is to ensure that each arrangement point (such as Figure 7 The q1, q2, q3, q4, q5) shown in the figure are evenly distributed on the base surface α, that is, each point (x i_surf ,y i_surf ) are equal in length, and then the radian angle is obtained from the local curvature radius R1 of the base surface α through the above mapping expression (18). Finally, the actual coordinate value (x i ,y i ).

[0129] As attached Figure 8 As shown, in addition to the array arrangement, the above surface representation method can also be applied to the optical description of the annular defocused surface spliced ​​with the base surface. By modifying the sub-spherical surface expression in step 2, a multi-segment annular surface can be obtained. The sub-annular surface can be expressed as:

[0130]

[0131] Among them, l i Represents the distance from each sub-annulus to the center of the base surface.

[0132] In addition to the regularly arranged sub-spherical array points shown in the attached figure, the above design method is also applicable to the design of irregularly arranged sub-spherical array points. By customizing the sub-spherical array points within a curved coordinate system and converting from the curved coordinate system to a rectangular coordinate system, the coordinates of each sub-spherical surface in the XY plane are obtained. The stitched surface is then calculated using the curved base lens array stitching method. This allows the distribution of the sub-spherical array points to better conform to the surface characteristics of the base surface, providing greater flexibility and accommodating a wider range of application scenarios.

[0133] Step 104: Based on the curvature radii R1 and R2 of the front and back surfaces S1 and S2 of the lens determined in step 101, the curvature radius r of the sub-spherical surfaces determined in step 102, and the curvature radius of each sub-spherical surface β determined in step 103, i Position p iIn the coordinates of the XY plane, the spliced ​​surface γ is obtained by combining the curved surface base lens array splicing method, and the spliced ​​surface γ is used as the front surface of the multi-point defocus glasses lens, and the back surface of the base lens is used as the back surface of the multi-point defocus glasses lens to generate a multi-point defocus glasses lens.

[0134] As attached Figure 9 As shown, a multi-point defocus lens is generated in combination with a special face shape, and a myopic human eye model E is placed 12 mm behind it for reception and analysis. Using the multi-point defocus lens L1 obtained using the above design method, and adding a lens array to the front surface S1 of the myopic glasses, light passing through the base converges on the retina as usual, while light passing through the sub-spherical portion converges earlier. The analysis function of optical simulation software can quickly obtain the device's point spread function (PSF), wavefront error, modulation transfer function (MTF), and two-dimensional image simulation results.

[0135] As shown in Figures 10(a) and 10(b), the modulation transfer function (MTF) of the peripheral field of view calculated using optical design software shows that while the contrast ratio of standard single-point glasses is greater than 0.5 at line pairs 15, the contrast ratio of DIMS lenses drops to 0.25 at 15 line pairs, with the most significant decrease compared to other line pairs. These results indicate that multi-point defocus glasses can lead to a certain decrease in visual clarity, with the most significant decrease occurring at medium resolution.

[0136] Optical simulation software was used to calculate the wavefront errors of single-view glasses and multi-point defocus glasses for different fields of view. As shown in Figure 11(a), the average wavefront error of the single-view glasses at 549.8 nm is 1.0579λ. As shown in Figure 11(b), the average wavefront error of the multi-point defocus glasses at 549.8 nm is 1.1575λ. This optical description indicates that multi-point defocus glasses degrade image quality, but the change is relatively small.

[0137] The 2D image simulation results can quickly and realistically reflect the visual effects of the human eye after wearing the glasses. 2D image simulations were performed on ordinary single-view glasses and multi-point defocus glasses, and the results shown in Figures 12(a) and 12(b) were obtained. Figures 12(c) and 12(d) are magnified images of the local areas in Figures 12(a) and 12(b), respectively. Figure 12(c) and 12(d) It can be seen that multi-point defocus glasses can cause some blurring and local distortion in the image, resulting in reduced image quality. When optically describing forward defocus vision, 2D image simulation can provide a basis for selecting the appropriate forward defocus vision, preventing excessive defocus that would affect the visual experience and even the health of myopic eyes.

[0138] From the above simulation analysis results, it can be seen that the curved substrate lens array splicing method can well simulate multi-point defocus glasses and can be directly analyzed in optical simulation software. The spliced ​​surface obtained by the curved substrate lens array splicing method has continuous functions at the boundary between the substrate and the sub-sphere, without abrupt changes, which is conducive to surface processing, can reduce the generation of stray light, and is more consistent with the surface shape of multi-point defocus glasses. The above multi-point defocus glasses design method can facilitate the processing and simulation analysis of multi-point defocus glasses. It is convenient, simple, and highly applicable. This description method can be used for other optical devices that require special microlens arrays without the need for a large amount of complex modeling, thereby improving efficiency.

[0139] like Figure 13 、 Figure 14 As shown, an embodiment of the present invention provides an optical design device for multi-point defocus eyeglass lenses. The device embodiment can be implemented by software, hardware, or a combination of software and hardware. From the hardware level, Figure 13 The figure shows a hardware architecture diagram of an electronic device where an optical design device for a multi-point defocused eyeglass lens is located according to an embodiment of the present invention. Figure 13 In addition to the processor, memory, network interface, and non-volatile memory shown, the electronic device in the embodiment may also include other hardware, such as a forwarding chip responsible for processing messages, etc. Taking software implementation as an example, Figure 14 As shown, as a device in a logical sense, it is formed by the CPU of the electronic device in which it is located reading the corresponding computer program in the non-volatile memory into the internal memory and running it.

[0140] like Figure 13 As shown, this embodiment provides an optical design device for multi-point defocus eyeglass lenses, comprising:

[0141] The base lens curvature generating unit 10 is configured to correct the diopter D according to the required diopter D. c Design the curvatures of the front surface S1 and the back surface S2 of the base lens;

[0142] The sub-sphere curvature generating unit 20 is configured to generate a sub-sphere curvature according to the required myopia defocus diopter D sub Design the curvature of the sub-spherical surface, with the front surface S1 of the base lens as the base curved surface;

[0143] The sub-sphere array arrangement point generating unit 30 is configured to generate the arrangement points q of the sub-sphere array on the base curved surface in a curved surface coordinate system with the base curved surface as the coordinate axis according to the required arrangement mode. i , and map the coordinates of the arrangement points from the curved coordinate system to the XY plane of the rectangular coordinate system to obtain the β of each sub-sphere i Position pi The coordinates in the XY plane (x i ,y i For example, by generating the sub-spherical array's arrangement points based on a desired arrangement, a variety of curved base lens arrays can be generated: hexagonal, radially closely packed circular, tangentially closely packed circular, rectangular, and so on. Furthermore, in addition to array-like arrangements, the multi-point defocus spectacle lens design device can also be used to design defocus spectacle lenses with annular defocus surfaces. Furthermore, the multi-point defocus spectacle lens design device can also be used to design multi-point defocus spectacle lenses with irregularly arranged defocus array points, where the arrangement of the sub-spherical array can be customized.

[0144] The splicing surface description unit 40 is configured to generate a splicing surface γ according to the surface base lens array splicing method, specifically including: generating a base surface α according to the curvature and the quadratic coefficient, and bringing in each sub-sphere β generated according to the required array arrangement mode. i Position p i In the coordinates in the plane perpendicular to the Z axis, the vector height and first-order derivative of the base surface at each sub-sphere position are calculated, and the normal vector of the sub-sphere vertex is determined accordingly. In the subsequent process, the normal vector is normalized by default before use; given the sub-sphere curvature radius r and its aperture radius h i , we can calculate the height ΔS of each sub-sphere's vertex away from the base i and the offset length d of the center of each sub-sphere away from the base along the normal vector i ; By the above offset length d i and the normal vector f described in step 1 i Calculate the coordinates of the center of the sub-sphere (x ci ,y ci ,z ci ), and then find the sub-sphere β i The expression z i Finally, by comparing the local curvature and sagitta of the base surface and the sub-sphere at any sampling point, the sagitta z(x, y) of the spliced ​​surface γ at the sampling point is determined, thereby determining the surface shape of the spliced ​​surface γ; and

[0145] The multi-point defocus eyeglass lens generating unit 50 is configured to generate the multi-point defocus eyeglass lens by using the spliced ​​curved surface γ as the front surface of the multi-point defocus eyeglass lens and the back surface of the base lens as the back surface of the multi-point defocus eyeglass lens.

[0146] The calculation process of the above-mentioned base lens curvature generation unit 10, sub-spherical surface curvature generation unit 20, sub-spherical surface array arrangement point generation unit 30, splicing surface shape description unit 40 and multi-point defocus eyeglass lens generation unit 50 can be referred to the process description of the above-mentioned multi-point defocus eyeglass lens design method, and will not be repeated here.

[0147] It should be understood that the structures illustrated in the embodiments of the present invention do not constitute specific limitations on the multi-point defocus spectacle lens design device. In other embodiments of the present invention, the multi-point defocus spectacle lens design device may include more or fewer components than illustrated, or may combine or separate certain components, or employ different component arrangements. The illustrated components may be implemented in hardware, software, or a combination of both.

[0148] The information interaction, execution process, etc. between the modules in the above-mentioned device are based on the same concept as the embodiment of the method of the present invention. For specific contents, please refer to the description in the embodiment of the method of the present invention and will not be repeated here.

[0149] An embodiment of the present invention further provides an electronic device comprising a memory and a processor, wherein the memory stores a computer program, and when the processor executes the computer program, a multi-point defocus eyeglass lens design method according to any embodiment of the present invention is implemented.

[0150] An embodiment of the present invention further provides a computer-readable storage medium having a computer program stored thereon. When the computer program is executed by a processor, the processor executes a multi-point defocus eyeglass lens design method according to any embodiment of the present invention.

[0151] Specifically, a device or apparatus equipped with a storage medium can be provided, on which software program codes that implement the functions of any of the above-mentioned embodiments are stored, and the computer (or CPU or MPU) of the device or apparatus can be enabled to read and execute the program codes stored in the storage medium.

[0152] In this case, the program code itself read from the storage medium can realize the function of any one of the above-mentioned embodiments, and thus the program code and the storage medium storing the program code constitute part of the present invention.

[0153] Examples of storage media for providing program code include floppy disks, hard disks, magneto-optical disks, optical disks (such as CD-ROM, CD-R, CD-RW, DVD-ROM, DVD-RAM, DVD-RW, DVD+RW), magnetic tapes, non-volatile memory cards, and ROMs. Alternatively, the program code can be downloaded from a server computer via a communication network.

[0154] In addition, it should be clear that the functions of any of the above embodiments can be realized not only by executing the program code read by the computer, but also by enabling an operating device operating on the computer to complete part or all of the actual operations based on the instructions of the program code.

[0155] In addition, it can be understood that the program code read from the storage medium is written into a memory provided in an expansion board inserted into the computer or into a memory provided in an expansion module connected to the computer, and then based on the instructions of the program code, a CPU installed on the expansion board or expansion module is enabled to perform part or all of the actual operations, thereby realizing the functions of any of the above embodiments.

[0156] It should be noted that, in this article, relational terms such as first and second are used only to distinguish one entity or operation from another entity or operation, and do not necessarily require or imply the existence of any such actual relationship or order between these entities or operations. Moreover, the terms "comprises", "comprising" or any other variants thereof are intended to cover non-exclusive inclusion, so that a process, method, article or device comprising a series of elements includes not only those elements, but also other elements not explicitly listed, or also includes elements inherent to such process, method, article or device. In the absence of further restrictions, the elements defined by the sentence "comprising a ..." do not exclude the presence of other identical factors in the process, method, article or device comprising the elements.

[0157] Those skilled in the art will understand that all or part of the steps of implementing the above-mentioned method embodiment can be completed by hardware related to program instructions, and the aforementioned program can be stored in a computer-readable storage medium. When the program is executed, it executes the steps of the above-mentioned method embodiment; and the aforementioned storage medium includes: ROM, RAM, disk or optical disk, etc. Various media that can store program codes.

[0158] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, rather than to limit it. Although the present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that they can still modify the technical solutions described in the aforementioned embodiments, or make equivalent replacements for some of the technical features therein. However, these modifications or replacements do not deviate the essence of the corresponding technical solutions from the spirit and scope of the technical solutions of the various embodiments of the present invention.

Claims

1. A method for designing multi-point defocus eyeglass lenses, characterized in that The method includes a process of constructing a spliced ​​curved surface γ using a curved surface base lens array splicing method, wherein the curved surface base lens array splicing method includes the following steps: Step 1: The spliced ​​surface γ can be divided into the base surface α and multiple sub-spheres β i , i is a positive integer, and the base surface α is generated according to the curvature and quadratic coefficient, and each sub-sphere β is brought into i Position p i The coordinates in the XY plane (x i ,y i ), calculate the position p of each sub-sphere i The vector height and first-order derivative of the base surface at the position p of the sub-sphere are determined from this i The normal vector f of the base surface at i , normal vector f i Use normalized vectors; Step 2: Given the sub-sphere curvature radius r and its aperture radius h i , we can calculate the sag Δs of each sub-sphere’s vertex away from the base surface i and the offset length d of the center of each sub-sphere away from the base surface along the normal vector i ; By the above offset length d i and the normal vector f described in step 1 i Calculate the sub-sphere β i The coordinates of the center of the sphere, and then find the sub-sphere β i Expressions of Step 3: For any sampling point, calculate the local curvature of the base surface α at the sampling point, and compare the base surface α with the sub-sphere β. i The local curvature and sag of the sampling point are used to determine the sag z(x, y) of the spliced ​​surface γ at the sampling point; and the step 3 includes the following sub-steps: calculating the local curvature of any sampling point of the base surface α, and calculating the local curvature of the base surface α and the adjacent multiple sub-spheres β at the sampling point. i The local curvature and sagitta of the sampling point are used to determine whether the sampling point belongs to the base surface α. If so, the sagitta of the base surface α is used as the sagitta at the sampling point. Otherwise, the sagitta of the adjacent sub-spheres β is combined. i The local curvature and sagitta of γ are used to obtain the sagitta of the spliced ​​surface γ at the sampling point.

2. The design method according to claim 1, wherein: In step 1, the base surface α uses a quadratic surface, and its specific expression is: Among them, c base represents the curvature, k base represents the quadratic coefficient, (x, y) is the coordinate on the base surface, z base (x,y) represents the base surface α; The first derivative of the basis surface α and The expression is: in, is the simplified expression of the derivative of the basis surface α with respect to x, is the simplified expression of the derivative of the basis surface α with respect to y; Subsphere β i The normal vector of the vertex is 3. The design method according to claim 2, wherein: In step 2, the offset length d i The expression is: Subsphere β i The coordinates of the center of the sphere (x ci ,y ci ,z ci ) can be expressed as: (x ci ,y ci ,z ci )=(x i ,y i ,z i )-d i f i , Among them, (x i ,y i ,z i ) is the i-th sub-sphere β i Position p i coordinates of The sub-sphere β i It can be expressed as:

4. The design method according to claim 3, wherein: In step 3, the base surface α is a rotationally symmetric surface, and its local curvature c at point (x, y) is base (ρ) is expressed in radial coordinate ρ as: Subsphere β i The curvature c is expressed as:

5. The design method according to claim 4, wherein: In step 3, for any sampling point, the sub-sphere β i The local curvature c i Equal to the subsphere β i The curvature c of the sub-sphere β i When the local curvature of the base surface α is of different sign, the splicing surface γ can be expressed as: When the subsphere β i When the local curvature of the sub-sphere β is of the same sign as the local curvature of the base surface α, i The local curvature c i Greater than the local curvature c of the base surface α base , the splicing surface γ can be expressed as: When the subsphere β i When the local curvature of the sub-sphere β is of the same sign as the local curvature of the base surface α, i The local curvature c i Less than the local curvature c of the base surface α base , the splicing surface γ can be expressed as:

6. The design method according to claim 1, wherein: The design process of designing multi-point defocus eyeglass lenses using the curved substrate lens array splicing method includes the following steps: Step 101: The curvatures of the front and back surfaces of the base lens are adjusted according to the required corrective diopter D. c design; Step 102: The sub-spherical surface is based on the front surface S1 of the base lens. The curvature of the sub-spherical surface is determined according to the required myopia defocus diopter D. sub design; Step 103: In a curved surface coordinate system with the base curved surface as the coordinate axis, generate the arrangement points q of the sub-spherical array on the base curved surface according to the required arrangement method. i , map the coordinates of the arrangement points from the curved coordinate system to the plane perpendicular to the Z axis in the rectangular coordinate system, and obtain the β of each sub-sphere i Position p i The coordinates in the XY plane (x i ,y i ); Step 104: Combine the curved surface base lens array stitching method to obtain the stitching curved surface γ, and use the stitching curved surface γ as the front surface of the multi-point defocus spectacle lens, and use the back surface of the base lens as the back surface of the multi-point defocus spectacle lens to generate the multi-point defocus spectacle lens.

7. The design method according to claim 6, wherein: In step 101, the glasses are regarded as thin lenses, and the corrected diopter D c The expression is: Wherein, f represents the focal length of the base lens, n2 represents the refractive index of the base lens material, n1 represents the refractive index of air, R1 represents the curvature radius of the front surface S1 of the base lens, and R2 represents the curvature radius of the back surface S2 of the base lens.

8. The design method according to claim 7, wherein: In step 102, the myopic defocus diopter D sub The expression is: Where r represents the radius of curvature of the sub-sphere.

9. The design method according to claim 8, wherein: In step 103, the process of mapping the arrangement point coordinates from the curved coordinate system to the coordinates in the XY plane of the rectangular coordinate system uses the following mapping expression: Among them, (x i_surf ,y i_surf ) represents the point q before mapping i Coordinates in the surface coordinate system, (x i ,y i ) represents the sub-sphere β after mapping i Position p i Coordinates on the XY plane in rectangular coordinates.

10. A design device for multi-point defocus spectacle lenses, used to implement the design method according to any one of claims 6 to 9, characterized in that: include: The base lens curvature generating unit is configured to correct the diopter D according to the required diopter D c Designing the curvature of the front and back surfaces of the base lens; The sub-spherical curvature generating unit is configured to generate a sub-spherical curvature according to the required myopia defocus diopter D sub Design the curvature of the sub-spherical surface, with the front surface S1 of the base lens as the base curved surface; The sub-sphere position generating unit is configured to generate the arrangement points q of the sub-sphere array on the base surface in the surface coordinate system with the base surface as the coordinate axis according to the required arrangement mode. i , and map the coordinates of the arrangement points from the curved coordinate system to the XY plane of the rectangular coordinate system to obtain the β of each sub-sphere i Position p i The coordinates in the XY plane (x i ,y i ); a splicing curved surface profile description unit, configured to generate the splicing curved surface γ according to the curved surface base lens array splicing method; and The multi-point defocus spectacle lens generating unit is configured to use the splicing curved surface γ as the front surface of the multi-point defocus spectacle lens and the back surface of the base lens as the back surface of the multi-point defocus spectacle lens to generate the multi-point defocus spectacle lens.

11. A computer-readable storage medium, characterized in that The computer-readable storage medium stores a computer program, and the computer program is used to enable a computer to execute the multi-point defocus spectacle lens design method according to any one of claims 1 to 9.

12. An electronic device comprising at least a processor and a memory, characterized in that: The memory stores a computer program, and when the processor executes the computer program, the multi-point defocus spectacle lens design method according to any one of claims 1 to 9 is implemented.

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