Design method of personalized progressive multi-focus lens and lens

Abstract

The invention relates to the field of optical lenses, in particular to a design method of a personalized progressive multi-focus lens and the lens, and the design method of the personalized progressive multi-focus lens comprises the following steps: setting mirror surface parameters of the rear surface of the progressive multi-focus lens; and according to the mirror surface parameters, determining an objective function with constraint conditions and dividing a set area. Optimizing the initial vector height data corresponding to each discrete point through a target function with a constraint condition until the focal power and the astigmatism of all discrete points in the set area meet the constraint condition of the constraint model at the same time, so as to achieve the vector height data corresponding to each discrete point at the moment of the constraint condition, and taking the data as optimized vector height data of the discrete point. And determining the mirror surface shape of the rear surface of the progressive addition lens according to the optimized rise data of each discrete point. And the design of the personalized progressive multi-focus lens is realized.

Description

Technical Field

[0001] The invention belongs to the field of optical lenses, and in particular relates to a design method for a personalized progressive multi-focal lens and a lens. Background Art

[0002] Progressive multifocal lenses are an optical lens that takes into account both near and far vision. The design overcomes the limitations of bifocals and trifocals, and can achieve a continuous and smooth gradient of optical power from top to bottom, providing the wearer with continuous clear vision from far to near. With the current situation of serious aging of the population and long-term eye fatigue, vision problems are becoming more prominent and younger. The application of progressive multifocal lenses is crucial in solving vision problems. It has received widespread attention in recent years and has a good development prospect.

[0003] At present, the design methods of progressive multifocal lenses are divided into two categories. One of them is the direct method, which mainly starts from the curvature change law of the design central meridian and the distribution mode of the optical power contour line, constructs the relationship between the optical power contour line function and the different positions of the central meridian, and then determines the sagittal distribution of the entire surface shape. The other is the indirect method, which obtains the surface sagittal height of the lens by minimizing the lens quality error function. However, with the increase in people's wearing needs and the improvement of the accuracy of testing equipment, people are no longer satisfied with a single lens design, and are more pursuing personalized and precise lens design that fits their own needs. Neither of the above two methods has clearly proposed personalized design based on different needs, nor can it fully guarantee the accurate values ​​of the focal power and astigmatism that are focused on, which puts forward new and higher requirements for lens design. Summary of the invention

[0004] In view of this, the present invention aims to provide a design method and lens of a personalized progressive multifocal lens, thereby realizing the design of a personalized progressive multifocal lens.

[0005] To achieve the above object, the technical solution created by the present invention is implemented as follows:

[0006] A method for designing a personalized progressive multifocal lens, comprising:

[0007] Setting the mirror parameters of the back surface of the progressive multifocal lens;

[0008] According to the mirror parameters, determine the objective function with constraints and divide the set area;

[0009] The initial sagittal height data corresponding to each discrete point is optimized through an objective function with constraint conditions until the optical power and astigmatism at all discrete points in the set area simultaneously meet the constraint conditions of the constraint model, so that the sagittal height data corresponding to each discrete point at the moment when the constraint conditions are met is used as the optimized sagittal height data of the discrete point;

[0010] The mirror surface shape of the back surface of the progressive multifocal lens is determined according to the optimized sagittal height data of each discrete point.

[0011] Furthermore, the mirror parameters include the position of the far vision reference point, the position of the near vision reference point, the far vision area angle, the near vision area angle, the near vision area tilt angle, the far vision area expected optical power, the additional optical power and the refractive index.

[0012] Furthermore, the objective function with constraints is formulated as follows:

[0013] J(z)=I(z)+ω 1 (|P(x ii ,y jj )-P 0 (x ii ,y jj )| max -P constra int )+ω 2 (|A(x ii ,y jj )| max -A constra int )

[0014] Among them, z:=z(x i ,y j ) is the vector height data corresponding to each discrete point, x ii To set the coordinates of each discrete point in the region in the x-axis direction, jj is the coordinate of each discrete point in the set area in the y-axis direction, I(z) is the optimization objective function, ω 1 and ω 2 To set the penalty parameter, P(x ii ,y jj ) is the actual optical power at each discrete point in the set area, P 0 (x ii ,y jj ) is the expected optical power at each discrete point in the set area, P constraint is the allowable error of the optical power at each discrete point in the set area, A(x ii ,y jj ) is the actual astigmatism at each discrete point in the set area, A constraint is the allowable error of astigmatism at each discrete point in the set area.

[0015] Furthermore, the formula of the optimized objective function is:

[0016]

[0017] Where N is the number of discrete points in the x-axis or y-axis direction, H(x i ,y j ) is the average curvature of each discrete point on the back surface of the progressive multifocal lens, K(x i ,y j ) is the Gaussian curvature at each discrete point on the back surface of the progressive multifocal lens, α(x i ,y j ) is the astigmatism weight, β(x i ,y j ) is the focal weight, G(x i ,y j ) is the expected average curvature at each discrete point on the back surface of the progressive multifocal lens, and ΔS is the small area corresponding to each discrete point.

[0018] Furthermore, the formula for the mean curvature at discrete points is:

[0019]

[0020] The formula for Gaussian curvature at a discrete point is:

[0021]

[0022] Among them, k 1 and k 2 is the principal curvature of the back surface of the progressive multifocal lens, z x is the first-order partial derivative of z in the x-axis direction, z xx is the second-order partial derivative of z in the x-axis direction, z y is the first-order partial derivative of z in the y-axis direction, z yy is the second-order partial derivative of z in the y-axis direction, z xy It is the second-order mixed partial derivative of z in the x-axis and y-axis directions.

[0023] Furthermore, the back surface of the progressive multifocal lens is divided into a high-weight area and a low-weight area. The high-weight area includes the far vision area, the near vision area and the middle channel, and the low-weight area includes the peripheral area. The astigmatism weight α(x i ,y j ) is greater than the astigmatism weight α(x i ,y j ), the focal weight β(x i ,y j ) is greater than the focal power weight β(x i ,y j ).

[0024] Furthermore, according to the mirror parameters, the back surface of the progressive multifocal lens is divided into a far vision area, a near vision area and an intermediate area between the far vision area and the near vision area, and the intermediate area is divided into a plurality of sub-areas;

[0025] According to the expected optical power of the far vision area and the expected optical power of the near vision area in the mirror parameters, the expected average curvature of the far vision area and the expected average curvature of the near vision area are determined by the following formula:

[0026] P b =(1-n)k b

[0027] Among them, P b is the focal power of the area, n is the refractive index of the progressive multifocal lens, k b is the average curvature of the region;

[0028] According to the expected average curvature of the far vision area and the expected average curvature of the near vision area, the expected average curvature of each sub-area is determined, and smoothed by Gaussian filtering to obtain the expected average curvature G(x i ,y j ).

[0029] Furthermore, the formula for setting the actual optical power at each discrete point in the area is:

[0030] P(x ii ,y jj )=(1-n)H(x ii ,y jj )

[0031] The formula for the actual astigmatism at each discrete point within the set area is:

[0032]

[0033] Where n is the refractive index of the progressive multifocal lens, k 1 (x ii ,y jj ) and k 2 (x ii ,y jj ) is the principal curvature at each discrete point in the set region, H(x ii ,y jj ) is the average curvature at each discrete point in the set area, K(x ii ,y jj ) is the Gaussian curvature at each discrete point in the set area;

[0034] The formula for the mean curvature at discrete points is:

[0035]

[0036] The formula for Gaussian curvature at a discrete point is:

[0037]

[0038] Among them, k 1 and k 2 is the principal curvature of the back surface of the progressive multifocal lens, z x is the first-order partial derivative of z in the x-axis direction, z xx is the second-order partial derivative of z in the x-axis direction, z y is the first-order partial derivative of z in the y-axis direction, z yy is the second-order partial derivative of Z in the y-axis direction, z xy It is the second-order mixed partial derivative of Z in the x-axis and y-axis directions.

[0039] Furthermore, the constraint model formula is:

[0040]

[0041] st|P(x ii ,y jj )-P 0 (x ii ,y jj )| max -P constraint <0

[0042] |A(x ii ,y jj )| max -A constraint <0

[0043] (x ii ,y jj )∈Π

[0044] Among them, Π is the coordinate range of the setting area, P(x ii ,y jj ) is the actual optical power at each discrete point in the set area, P 0 (x ii ,y jj ) is the expected optical power at each discrete point in the set area, P constraint is the allowable error of the optical power at each discrete point in the set area, A(x ii ,y jj ) is the actual astigmatism at each discrete point in the set area, A constraint is the allowable error of astigmatism at each discrete point in the set area.

[0045] A personalized progressive multifocal lens is designed according to the above-mentioned design method of the personalized progressive multifocal lens.

[0046] Compared with the prior art, the invention can achieve the following beneficial effects:

[0047] The design method of the personalized progressive multi-focal lens of the embodiment created by the present invention can set different mirror parameters based on the conditions of different users, so that the area division can be customized, and the personalized distribution of the expected average curvature and weight can be formed to achieve the determination of different objective functions with constraints, thereby realizing the design of personalized progressive multi-focal lenses. At the same time, the set area is divided according to the mirror parameters, and the focal power and astigmatism of the set area that is used for a long time and high frequency are accurately controlled. Under the condition of ensuring that other areas outside the set area meet expectations, the degree of the set area is more accurate and the visual clarity is better. BRIEF DESCRIPTION OF THE DRAWINGS

[0048] The drawings constituting part of the present invention are used to provide a further understanding of the present invention. The exemplary embodiments and descriptions of the present invention are used to explain the present invention and do not constitute an improper limitation on the present invention. In the drawings:

[0049] Figure 1 A flow chart of a method for designing a personalized progressive multifocal lens according to an embodiment of the present invention;

[0050] Figure 2 A schematic diagram of the area division of the rear surface of the personalized progressive multifocal lens according to an embodiment of the present invention;

[0051] Figure 3 A schematic diagram of the expected average curvature area division of the rear surface of the personalized progressive multifocal lens according to an embodiment of the present invention;

[0052] Figure 4 A schematic diagram of the expected average curvature distribution of the rear surface of the personalized progressive multifocal lens according to an embodiment of the present invention;

[0053] Figure 5 A schematic diagram of dividing the high-weighted area and the low-weighted area of ​​the rear surface of the personalized progressive multifocal lens according to an embodiment of the present invention;

[0054] Figure 6 The astigmatism weight α(x i ,y j ) Distribution diagram;

[0055] Figure 7The optical power weight β(x i ,y j ) Distribution diagram;

[0056] Figure 8 The invention creates an embodiment of the optical power distribution intention after constraint optimization of the rear surface of the personalized progressive multi-focal lens;

[0057] Fig. 9 The invention creates an embodiment of the personalized progressive multi-focal lens according to the invention with the intention of constrained optimized astigmatism distribution on the back surface. DETAILED DESCRIPTION

[0058] In order to make the purpose, technical scheme and advantages of the invention clearer, the invention is further described in detail below in conjunction with the accompanying drawings and specific embodiments. It should be understood that the specific embodiments described herein are only used to explain the invention and do not constitute a limitation to the invention. Similar components in different embodiments use associated similar component numbers. In the following embodiments, many detailed descriptions are to enable the invention to be better understood. However, those skilled in the art can easily recognize that some of the features can be omitted in different situations, or can be replaced by other components, materials, and methods. In some cases, some operations related to the invention are not shown or described in the specification, in order to avoid the core part of the invention being overwhelmed by too much description, and for those skilled in the art, it is not necessary to describe these related operations in detail, and they can fully understand the related operations according to the description in the specification and the general technical knowledge in the art.

[0059] It should be noted that, in the absence of conflict, the embodiments of the present invention and the features in the embodiments can be combined with each other to form various implementation methods. At the same time, the steps or actions in the method description can also be interchanged or adjusted in a manner that is obvious to those skilled in the art. Therefore, the various sequences in the specification and the drawings are only for the purpose of clearly describing a certain embodiment and are not meant to be a necessary sequence, unless otherwise specified that a certain sequence must be followed.

[0060] In the description of the invention, it should be understood that the terms "center", "longitudinal", "lateral", "length", "width", "thickness", "up", "down", "front", "back", "left", "right", "vertical", "horizontal", "top", "bottom", "inside", "outside", "clockwise", "counterclockwise", etc., indicating the orientation or position relationship, are based on the orientation or position relationship shown in the drawings, and are only for the convenience of describing the invention and simplifying the description, rather than indicating or implying that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and therefore cannot be understood as a limitation on the invention. In addition, the terms "first", "second", etc. are only used for descriptive purposes, and cannot be understood as indicating or implying relative importance or implicitly indicating the number of technical features indicated. Therefore, the features defined as "first", "second", etc. may explicitly or implicitly include one or more of the features. In the description of the invention, unless otherwise specified, the meaning of "multiple" is two or more.

[0061] In the description of the invention, it should be noted that, unless otherwise clearly specified and limited, the terms "installation", "connection" and "connection" should be understood in a broad sense, for example, it can be a fixed connection, a detachable connection, or an integral connection; it can be a mechanical connection or an electrical connection; it can be a direct connection, or it can be indirectly connected through an intermediate medium, or it can be the internal communication of two components. For ordinary technicians in this field, the specific meanings of the above terms in the invention can be understood according to specific circumstances.

[0062] The present invention will be described in detail below with reference to the accompanying drawings and in combination with embodiments.

[0063] See also Figure 1 As shown, the present invention provides a design method for a personalized progressive multifocal lens, wherein the front surface of the lens is a known spherical surface, the rear surface of the lens is a progressive free-form surface, and the rear surface of the lens is close to the eye. The design method can be designed for the rear surface of the personalized progressive multifocal lens, and the design method includes steps S1 to S4.

[0064] Step S1: Setting the mirror parameters of the rear surface of the progressive multifocal lens. Different mirror parameters can be set based on the conditions of different users, such as different mirror parameters can be set according to the user's optometry data. In one embodiment, the mirror parameters include the position of the far vision reference point, the position of the near vision reference point, the far vision zone angle, the near vision zone angle, the near vision zone tilt angle, the far vision zone expected focal length, the additional focal length and the refractive index. The expected focal length of the near vision zone can be determined based on the expected focal length of the far vision zone and the additional focal length. That is, the expected focal length of the far vision zone + the additional focal length = the expected focal length of the near vision zone. In this embodiment, the far vision reference point position of the mirror parameters is set to (0, 8), the near vision reference point position is set to (-2.5, -14), the far vision zone angle is 140°, the near vision zone angle is 50°, the near vision zone inclination angle is -2.5°, the expected optical focal length of the far vision zone is -8.5D, the expected optical focal length of the near vision zone is -7.5D, the additional optical focal length is 1D, and the refractive index is 1.6.

[0065] Step S2: According to the mirror parameters, determine the objective function with constraints and divide the set area. In one embodiment, the far vision reference point and the near vision reference point in the mirror parameters can be used as the center of the circle, and the circular domain with a radius of the set value can be made as the set area. In this embodiment, the set value is 3mm, and the optical power and astigmatism of the set area can be accurately controlled. The back surface of the personalized progressive multifocal lens can be characterized by the vector height data corresponding to discrete points with an interval of 1mm in the x-axis direction and the y-axis direction on the coordinate system, and the objective function with constraints on the back surface of the lens is in a discrete cumulative form. In this embodiment, the value range of the x-axis direction of the coordinate system is -40mm~40mm, and the value range of the y-axis direction is -40mm~40mm.

[0066] In one embodiment, based on the optimized objective function I(z), a penalty term related to the constraint conditions of the constraint model is added to form an objective function J(z) with constraint conditions. The formula of the objective function J(z) with constraint conditions is:

[0067] J(z)=I(z)+ω 1 (|P(x ii ,y jj )-P 0 (x ii ,y jj )| max -P constra int )+ω 2 (|A(x ii ,y jj )| max -A constra int )

[0068] Among them, z:=z(xi ,y j ) is the vector height data corresponding to each discrete point, x ii To set the coordinates of each discrete point in the region in the x-axis direction, jj is the coordinate of each discrete point in the set area in the y-axis direction, I(z) is the optimization objective function, ω 1 and ω 2 To set the penalty parameter, P(x ii ,y jj ) is the actual optical power at each discrete point in the set area, P 0 (x ii ,y jj ) is the expected optical power at each discrete point in the set area, P constraint is the allowable error of the optical power at each discrete point in the set area, A(x ii ,y jj ) is the actual astigmatism at each discrete point in the set area, A constraint is the allowable error of astigmatism at each discrete point in the set area.

[0069] In this embodiment, ω 1 and ω 2 To set the penalty parameter, the value is 1. constraint The value can be 0.06, that is, P constrainv =0.06. constraint The value can be 0.12, that is, A constraint =0.12.

[0070] In one embodiment, the formula for setting the actual optical power at each discrete point in the area is:

[0071] P(x ii ,y jj )=(1-n)H(x ii ,y jj )

[0072] The formula for the actual astigmatism at each discrete point within the set area is:

[0073]

[0074] Where n is the refractive index of the progressive multifocal lens, k 1 (x ii ,y jj ) and k 2 (x ii ,y jj ) is the principal curvature at each discrete point in the set region, H(x ii ,y jj) is the average curvature at each discrete point in the set area, K(x ii ,y jj ) is the Gaussian curvature at each discrete point in the set area.

[0075] The formula for the mean curvature at discrete points is:

[0076]

[0077] The formula for Gaussian curvature at a discrete point is:

[0078]

[0079] Among them, k 1 and k 2 is the principal curvature of the back surface of the progressive multifocal lens, z x is the first-order partial derivative of z in the x-axis direction, z xx is the second-order partial derivative of z in the x-axis direction, z y is the first-order partial derivative of z in the y-axis direction, z yy is the second-order partial derivative of z in the y-axis direction, z xy It is the second-order mixed partial derivative of z in the x-axis and y-axis directions.

[0080] In one embodiment, the formula of the optimized objective function is:

[0081]

[0082] Wherein, N is the number of discrete points in the x-axis direction or the y-axis direction. In this embodiment, N=81, H(x i ,y j ) is the average curvature of each discrete point on the back surface of the progressive multifocal lens, K(x i ,y j ) is the Gaussian curvature at each discrete point on the back surface of the progressive multifocal lens, α(x i ,y j ) is the astigmatism weight, β(x i ,y j ) is the focal weight, G(x i ,y j ) is the expected average curvature at each discrete point on the back surface of the progressive multifocal lens, and ΔS is the small area corresponding to each discrete point.

[0083] In one embodiment, the formula for the average curvature at discrete points is:

[0084]

[0085] The formula for Gaussian curvature at a discrete point is:

[0086]

[0087] Among them, k 1 and k 2 is the principal curvature of the back surface of the progressive multifocal lens, z x is the first-order partial derivative of z in the x-axis direction, z xx is the second-order partial derivative of z in the x-axis direction, z y is the first-order partial derivative of z in the y-axis direction, z yy is the second-order partial derivative of z in the y-axis direction, z xy It is the second-order mixed partial derivative of z in the x-axis and y-axis directions.

[0088] See also Figure 2 , Figure 3 and Figure 4 As shown, in one embodiment, according to the mirror surface parameters, the back surface of the progressive multifocal lens is divided into a far vision area A, a near vision area C and an intermediate area (B, D) located between the far vision area A and the near vision area C. The mirror surface parameters include the far vision reference point position, the near vision reference point position, the far vision area opening angle, the near vision area opening angle and the near vision area tilt angle. D As the center of the circle, draw a far vision area circle with the first set value as the radius, and determine two straight lines l tangent to the far vision area circle according to the far vision area opening angle. 1 and l 2 , to divide the far vision area A. With the near vision area reference point P N As the center of the circle, draw a near vision area circle with the second setting value as the radius. According to the near vision area opening angle, determine the two straight lines l that are tangent to the near vision area circle. 3 and l 4 , to divide the near vision area C. According to the characteristic of the continuous and gradual change of the optical power of the progressive multifocal lens, the middle area (B, D) between the near vision area A and the far vision area C is divided into a plurality of sub-areas. In this embodiment, the middle area (B, D) is divided into six sub-areas.

[0089] The mirror parameters include the expected optical power of the far vision area and the expected optical power of the near vision area. According to the expected optical power of the far vision area A and the expected optical power of the near vision area C in the mirror parameters, the expected average curvature of the far vision area A and the expected average curvature of the near vision area C are determined by the following formula:

[0090] P b =(1-n)k b

[0091] Among them, P b is the focal power of the area, n is the refractive index of the progressive multifocal lens, k b is the average curvature of the region.bA , determine the expected mean curvature k of the far vision region A bA The expected focal power P of the near vision zone C can be calculated based on the near vision zone bC , determine the expected mean curvature k of the near vision region C bC . Here, the expected mean curvature of each discrete point in the same region is the same.

[0092] According to the expected average curvature of the far vision area A and the expected average curvature of the near vision area C, the expected average curvature of each sub-area of ​​the middle area (B, D) is determined, and smoothed by Gaussian filtering to obtain the expected average curvature G (x i ,y j ). G(x i ,y j ) can be in matrix form. In this embodiment, the expected average curvature k of the far vision area A is bA is 14.17, and the expected average curvature k of the near region C bC The expected average curvature value from the far vision area A to the near vision area C changes smoothly from 14.17 to 12.50. In this way, the expected average curvature G(x i ,y j ).

[0093] See also Figure 2 , Figure 5 , Figure 6 and Figure 7 As shown, in one embodiment, the rear surface of the progressive multifocal lens is divided into a high-weight area and a low-weight area, the high-weight area includes a far vision area A, a near vision area C and an intermediate channel B, wherein a straight line l can be drawn 1 and straight line l 3 The first tangent circle can be drawn with the straight line l 2 and straight line l 4 The second tangent circle is tangent to the first tangent circle, and the middle channel B is between the first tangent circle and the second tangent circle. The far vision area A, the near vision area C and the middle channel B form a region as a whole, that is, the high-weighted area. These three areas are the main use areas of personalized progressive multifocal lenses, and have higher requirements in terms of optical power and astigmatism, so they are regarded as high-weighted areas. The low-weighted area includes the peripheral area D, that is, the area other than the far vision area A, the near vision area C and the middle channel B. The astigmatism weight α(x i ,y j ) is greater than the astigmatism weight α(x i ,y j ), the focal weight β(x i ,y j) is greater than the focal power weight β(x i ,y j ). In this embodiment, the astigmatism weight and the optical power weight of each discrete point in the high-weight area are both 30, and the astigmatism weight and the optical power weight of each discrete point in the low-weight area are both 1. Among them, the astigmatism weight α(x can be determined by smoothing by Gaussian filtering. i ,y j ) and the focal weight β(x i ,y j ) distribution. This allows the astigmatism weight α(x i ,y j ) and the focal weight β(x i ,y j ).

[0094] The personalized progressive multifocal lens created by the present invention can set the mirror parameters of the rear surface of the progressive multifocal lens to customize the four areas of the personalized progressive multifocal lens, namely, the far vision area A, the middle channel B, the near vision area C and the peripheral area D, and reflect the four customized areas to the expected average curvature G (x i ,y j ), astigmatism weight α(x i ,y j ) and the focal weight β(x i ,y j ) distribution, so as to meet the usage needs of different users.

[0095] Step S3: The initial vector height data corresponding to each discrete point is optimized through an objective function with constraint conditions until the optical power and astigmatism at all discrete points in the set area simultaneously satisfy the constraint conditions of the constraint model, so that the vector height data corresponding to each discrete point at the moment when the constraint conditions are met is used as the optimized vector height data of the discrete point.

[0096] In one embodiment, the constraint model is formulated as follows:

[0097]

[0098] st|P(x ii ,y jj )-P 0 (x ii ,y jj )| max -P constraint <0

[0099] |A(x ii ,y jj )|max -A constraint <0

[0100] (x ii ,y jj )∈Π

[0101] Where z∈R n means that z is an n-dimensional real vector, that is, for each z(x i ,y j ) are all real numbers. minI(z) means that I(z) will be gradually reduced during the optimization process to constrain the set area while minimizing I(z). Π is the coordinate range of the set area, P(x ii ,y jj ) is the actual optical power at each discrete point in the set area, p 0 (x ii ,y jj ) is the expected optical power at each discrete point in the set area, P constraint is the allowable error of the optical power at each discrete point in the set area, A(x ii ,y jj ) is the actual astigmatism at each discrete point in the set area, A constraint is the allowable error of astigmatism at each discrete point in the set area.

[0102] In this embodiment, P constraint The value can be 0.06, that is, P constraint =0.06. constraint The value can be 0.12, that is, A constraint =0.12. Constraints are set for the power and astigmatism in the set area so that the difference a between the actual power and the expected power at each discrete point in the set area is between ±0.06D, i.e. -0.06D < a < 0.06D. The absolute value of the difference b between the actual astigmatism and the expected astigmatism 0 at each discrete point in the set area is less than 0.12D, i.e. 0 ≤ |b| < 0.12D.

[0103] See also Figure 8 and Fig. 9 As shown in the figure, the dotted circle is the setting area. Figure 8 As shown, the difference between the actual optical power and the expected optical power at each discrete point in the dotted circle in the far vision area is between ±0.06D, and the difference between the actual optical power and the expected optical power at each discrete point in the dotted circle in the near vision area is between ±0.06D, which meets the design requirements of personalized progressive multifocal lenses.

[0104] like Fig. 9As shown, the absolute value of the difference between the actual astigmatism and the expected astigmatism at each discrete point within the dotted circle in the far vision area and the near vision area is less than 0.12D.

[0105] Step S4: Determine the mirror surface shape of the rear surface of the progressive addition lens according to the optimized sagittal height data of each discrete point.

[0106] The design method of the personalized progressive multi-focal lens of the embodiment created by the present invention can set different mirror parameters based on the conditions of different users, so that the divided areas (far vision area, near vision area, middle channel and peripheral area) can be customized, and the personalized distribution of the expected average curvature and weight can be formed to achieve the determination of different objective functions with constraints, thereby realizing the design of personalized progressive multi-focal lenses. At the same time, the set area is divided according to the mirror parameters, and the focal power and astigmatism of the set area that is used for a long time and high frequency are accurately controlled. Under the condition of ensuring that other areas outside the set area meet expectations, the degree of the set area is more accurate and the visual clarity is better.

[0107] The invention also provides a personalized progressive multi-focal lens, which can be applied to glasses as a lens of glasses. The personalized progressive multi-focal lens is designed according to the above-mentioned design method of the personalized progressive multi-focal lens.

[0108] It should be understood that the various forms of processes shown above can be used to reorder, add or delete steps. For example, the steps described in the disclosure of the present invention can be performed in parallel, sequentially or in different orders, as long as the desired results of the technical solution disclosed in the present invention can be achieved, and this document does not limit this.

[0109] The above specific implementations do not constitute a limitation on the protection scope of the present invention. It should be understood by those skilled in the art that various modifications, combinations, sub-combinations and substitutions can be made according to design requirements and other factors. Any modification, equivalent substitution and improvement made within the spirit and principle of the present invention should be included in the protection scope of the present invention.

Claims

1. A method for designing a personalized progressive multifocal lens, characterized in that: include: Setting the mirror parameters of the back surface of the progressive multifocal lens; According to the mirror parameters, determining an objective function with constraint conditions and dividing a set area; The initial sagittal height data corresponding to each discrete point is optimized by the objective function with constraint conditions until the optical power and astigmatism at all discrete points in the set area simultaneously satisfy the constraint conditions of the constraint model, so that the sagittal height data corresponding to each discrete point at the moment when the constraint conditions are met is used as the optimized sagittal height data of the discrete point; The mirror surface shape of the back surface of the progressive addition lens is determined based on the optimized sagittal height data of each discrete point.

2. The method for designing a personalized progressive multifocal lens according to claim 1, characterized in that: The mirror parameters include the position of the far vision reference point, the position of the near vision reference point, the far vision area angle, the near vision area angle, the near vision area tilt angle, the far vision area expected optical power, the additional optical power and the refractive index.

3. The method for designing a personalized progressive multifocal lens according to claim 1, characterized in that: The formula of the objective function with constraints is: J(z)=I(z)+ω1(|P(x ii ,y jj )-P0(x ii ,y jj )| max -P constraint )+ω2(|A(x ii ,y jj )| max -A constraint ) Among them, z:=z(x i ,y j ) is the vector height data corresponding to each discrete point, x ii is the x-axis coordinate, y-axis coordinate of each discrete point in the set area jj is the coordinate of each discrete point in the set area in the y-axis direction, I(z) is the optimization objective function, ω1 and ω2 are the set penalty parameters, P(x ii ,y jj ) is the actual optical power at each discrete point in the set area, P0(x ii ,y jj ) is the expected optical power at each discrete point in the set area, P constraint is the allowable error of the optical power at each discrete point in the set area, A(x ii ,y jj ) is the actual astigmatism at each discrete point in the set area, A constraint is the allowable error of astigmatism at each discrete point in the set area.

4. The method for designing a personalized progressive multifocal lens according to claim 3, characterized in that: The formula of the optimized objective function is: Where N is the number of discrete points in the x-axis or y-axis direction, H(x i ,y j ) is the average curvature at each discrete point on the back surface of the progressive multifocal lens, K(x i ,y j ) is the Gaussian curvature at each discrete point on the back surface of the progressive multifocal lens, α(x i ,y j ) is the astigmatism weight, β(x i ,y j ) is the focal weight, G(x i ,y j ) is the expected average curvature at each discrete point on the back surface of the progressive multifocal lens, and ΔS is the small area corresponding to each discrete point.

5. The method for designing a personalized progressive multifocal lens according to claim 4, characterized in that: The formula for the mean curvature at the discrete points is: The formula for the Gaussian curvature at the discrete points is: Wherein, k1 and k2 are the principal curvatures of the rear surface of the progressive addition lens, z x is the first-order partial derivative of z in the x-axis direction, z xx is the second-order partial derivative of z in the x-axis direction, z y is the first-order partial derivative of z in the y-axis direction, z yy is the second-order partial derivative of z in the y-axis direction, z xy It is the second-order mixed partial derivative of z in the x-axis and y-axis directions.

6. The method for designing a personalized progressive multifocal lens according to claim 4, characterized in that: The back surface of the progressive multifocal lens is divided into a high-weight area and a low-weight area, wherein the high-weight area includes a far vision area, a near vision area and an intermediate channel, and the low-weight area includes a peripheral area; the astigmatism weight α(x i ,y j ) is greater than the astigmatism weight α(x i ,y j ), the focal power weight β(x i ,y j ) is greater than the focal power weight β(x i ,y j ).

7. The method for designing a personalized progressive multifocal lens according to claim 4, characterized in that: According to the mirror parameters, the rear surface of the progressive multifocal lens is divided into a far vision area, a near vision area and an intermediate area between the far vision area and the near vision area, and the intermediate area is divided into a plurality of sub-areas; According to the expected optical power of the far vision area and the expected optical power of the near vision area in the mirror parameters, the expected average curvature of the far vision area and the expected average curvature of the near vision area are determined by the following formula: P b =(1-n)k b Among them, P b is the focal power of the region, n is the refractive index of the progressive addition lens, k b is the average curvature of the region; According to the expected average curvature of the far vision area and the expected average curvature of the near vision area, the expected average curvature of each sub-area is determined, and smoothed by Gaussian filtering to obtain the expected average curvature G(x i ,y j ).

8. The method for designing a personalized progressive multifocal lens according to claim 3, characterized in that: The formula for the actual optical power at each discrete point in the set area is: P(x ii ,y jj )=(1-n)H(x ii ,y jj ) The formula for the actual astigmatism at each discrete point in the set area is: Wherein, n is the refractive index of the progressive multifocal lens, k1(x ii ,y jj ) and k2(x ii ,y jj ) is the principal curvature at each discrete point in the set area, H(x ii ,y jj ) is the average curvature at each discrete point in the set area, K(x ii ,y jj ) is the Gaussian curvature at each discrete point in the set area; The formula for the mean curvature at the discrete points is: The formula for the Gaussian curvature at the discrete points is: Wherein, k1 and k2 are the principal curvatures of the rear surface of the progressive addition lens, z x is the first-order partial derivative of z in the x-axis direction, z xx is the second-order partial derivative of z in the x-axis direction, z y is the first-order partial derivative of z in the y-axis direction, z yy is the second-order partial derivative of z in the y-axis direction, z xy It is the second-order mixed partial derivative of z in the x-axis and y-axis directions.

9. The method for designing a personalized progressive multifocal lens according to claim 1, characterized in that: The formula of the constraint model is: s.t.|P(x ii ,y jj )-P0(x ii ,y jj )| max -P constraint <0 |A(x ii ,and jj )| max -TO constraint <0 (x ii ,and jj )∈Π Wherein, Π is the coordinate range of the set area, P(x ii ,y jj ) is the actual optical power at each discrete point in the set area, P0(x ii ,y jj ) is the expected optical power at each discrete point in the set area, P constraint is the allowable error of the optical power at each discrete point in the set area, A(x ii ,y jj ) is the actual astigmatism at each discrete point in the set area, A constraint is the allowable error of astigmatism at each discrete point in the set area.

10. A personalized progressive multifocal lens, characterized in that: The personalized progressive multifocal lens is designed according to the design method of any one of claims 1 to 9.

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