Design method and lens of personalized progressive multifocal lens

Abstract

The present invention relates to the field of optical lenses, and in particular to a design method and lens for a personalized progressive multifocal lens. The design method for a personalized progressive multifocal lens comprises: setting the mirror parameters of the rear surface of the progressive multifocal lens. Based on the mirror parameters, an objective function with constraints is determined and a set area is divided. The initial sagittal height data corresponding to each discrete point is optimized using the objective function with constraints until the optical power and astigmatism at all discrete points in the set area simultaneously meet the constraints of the constraint model, so that the sagittal height data corresponding to each discrete point at the moment when the constraints are met is used as the optimized sagittal height data of the discrete point. Based on the optimized sagittal height data of each discrete point, the mirror surface shape of the rear surface of the progressive multifocal lens is determined. This achieves the design of a personalized progressive multifocal lens.

Description

Technical Field

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

[0002] Progressive addition lenses are optical lenses that address both near and far vision needs. Their design overcomes the limitations of bifocal and trifocal lenses, enabling a smooth, continuous gradient of optical power from top to bottom, providing the wearer with continuous, clear vision from far to near. With the current aging population and chronic eye fatigue, vision problems are becoming increasingly prominent and affecting younger people. The use of progressive addition lenses is crucial in addressing these issues, garnering widespread attention in recent years and holding promising prospects.

[0003] Currently, 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 of the optical power profile line, constructs the relationship between the optical power profile line function and the different positions of the central meridian, and then determines the sagittal height 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 they fully guarantee the accurate values ​​of the focal power and astigmatism in the key areas. This puts new and higher requirements on lens design. Summary of the Invention

[0004] In view of this, the present invention aims to provide a design method and lens for a personalized progressive addition lens, thereby realizing the design of a personalized progressive addition 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 addition 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 constraints until the optical power and astigmatism at all discrete points in the set area simultaneously meet the constraints of the constraint model. The sagittal height data corresponding to each discrete point at the moment when the constraints 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 addition lens is determined based on 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 expected optical power of the far vision area, the additional optical power and the refractive index.

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

[0013] J(z)=I(z)+ω1(|P(x ii ,y jj )-P0(x ii ,y jj )| max -P constra int )+ω2(|A(x ii ,y jj )| max -A constra int )

[0014] Where 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 area in the x-axis direction, y jj is the coordinate of each discrete point in the region in the y-axis direction, I(z) is the optimization objective function, ω1 and ω2 are the 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.

[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 power 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, k1 and k2 are the main curvatures 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 optical power 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 addition 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 the actual optical power at each discrete point in the set 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, 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;

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

[0035]

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

[0037]

[0038] Among them, k1 and k2 are the main curvatures 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 )-P0(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] Where 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.

[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 present invention can achieve the following beneficial effects:

[0047] The design method for personalized progressive addition lenses in the embodiments of the present invention allows for setting different mirror parameters based on the conditions of different users, thereby enabling customized area division and forming a personalized distribution of expected average curvature and weights to determine different objective functions with constraints, thus enabling the design of personalized progressive addition lenses. Furthermore, by dividing the set areas according to the mirror parameters, precise control of the optical power and astigmatism in the set areas for long-term, high-frequency use is performed. This ensures that the diopter accuracy and visual clarity of the set areas are higher while ensuring that other areas outside the set areas meet expectations. BRIEF DESCRIPTION OF THE DRAWINGS

[0048] The accompanying drawings, which constitute part of the present invention, are intended to provide a further understanding of the present invention. The exemplary embodiments of the present invention and their descriptions are intended to explain the present invention and do not constitute an undue limitation of the present invention. In the accompanying drawings:

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

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

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

[0053] Figure 5 A schematic diagram illustrating the division of high-weighted areas and low-weighted areas on the back surface of a personalized progressive addition lens according to an embodiment of the present invention;

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

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

[0056] Figure 8The invention provides an intention of constrained optimized optical power distribution of the rear surface of the personalized progressive addition lens according to an embodiment of the invention;

[0057] Figure 9 The invention creates an embodiment of the astigmatism distribution after constraint optimization of the back surface of the personalized progressive addition lens. DETAILED DESCRIPTION

[0058] In order to make the purpose, technical solutions and advantages of the present invention more clearly understood, the present 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 present invention and do not constitute a limitation to the present invention. Similar elements in different embodiments use associated similar element numbers. In the following embodiments, many detailed descriptions are intended to enable the present 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 elements, materials, or methods. In some cases, some operations related to the present invention are not shown or described in the specification. This is to avoid the core part of the present invention being overwhelmed by too much description. For those skilled in the art, it is not necessary to describe these related operations in detail. They can fully understand the related operations based on 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 and features of the embodiments of the present invention 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 orders in the description and the drawings are only for the purpose of clearly describing a certain embodiment and are not intended to be a required order, unless otherwise specified that a certain order must be followed.

[0060] In the description of the present 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" and the like indicate positions or positional relationships based on the positions or positional relationships shown in the accompanying drawings, and are only for the convenience of describing the present 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 present 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 the indicated technical features. Therefore, features defined as "first", "second", etc. may explicitly or implicitly include one or more of the features. In the description of the present invention, unless otherwise specified, "multiple" means two or more.

[0061] In the description of the present invention, it should be noted that, unless otherwise expressly specified or limited, the terms "installed," "connected," and "connected" should be understood in a broad sense. For example, they can refer to fixed connections, detachable connections, or integral connections; they can refer to mechanical connections or electrical connections; they can refer to direct connections or indirect connections through an intermediate medium; and they can refer to internal connections between two components. Those skilled in the art can understand the specific meanings of the above terms in the present invention based on 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, an embodiment of the present invention provides a method for designing a personalized progressive addition lens, wherein the front surface of the lens is a known spherical surface, the back surface of the lens is a progressive free-form surface, and the back surface of the lens is closer to the eye. This design method can be used to design the back surface of a personalized progressive addition lens, and the design method includes steps S1 to S4.

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

[0065] Step S2: Determine the objective function with constraints based on the mirror parameters 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 a circular domain with a radius of the set value can be drawn as the set area. In this embodiment, the set value is 3mm, and the optical power and astigmatism of the set area can be precisely 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. 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)+ω1(|P(x ii ,y jj )-P0(x ii ,y jj )| max -P constra int )+ω2(|A(x ii ,y jj )| max -A constra int )

[0068] Where z:=z(x i ,y j ) is the vector height data corresponding to each discrete point, xii To set the coordinates of each discrete point in the area in the x-axis direction, y jj is the coordinate of each discrete point in the region in the y-axis direction, I(z) is the optimization objective function, ω1 and ω2 are the 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.

[0069] In this embodiment, ω1 and ω2 are set penalty parameters, both of which are set to 1. constraint The value can be 0.06, that is, P constrainv =0.06. A 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 within 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, 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.

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

[0076]

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

[0078]

[0079] Among them, k1 and k2 are the main curvatures 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 power 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 a discrete point is:

[0084]

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

[0086]

[0087] Among them, k1 and k2 are the main curvatures 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 yyis 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 FIG. 1 , in one embodiment, the back surface of the progressive addition lens is divided into a far vision area A, a near vision area C, and intermediate areas (B, D) located between the far vision area A and the near vision area C according to the mirror surface parameters. The mirror surface parameters include the far vision reference point position, the near vision reference point position, the far vision area angle, the near vision area 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. According to the far vision area angle, determine two straight lines l1 and l2 tangent to the far vision area circle to divide the far vision area A. With the near vision area reference point P N A near vision area circle is drawn with the second set value as the center and the radius as the second set value. Based on the near vision area angle, two straight lines l3 and l4 tangent to the near vision area circle are determined to demarcate the near vision area C. Based on the continuous and gradual change in power of progressive addition lenses, the intermediate area (B, D) between the near vision area A and the distance vision area C is divided into multiple subareas. In this embodiment, the intermediate area (B, D) is divided into six subareas.

[0089] The mirror parameters include the expected optical power of the far vision area and the expected optical power of the near vision area. Based on 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 area 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 viewing region C bC . 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 intermediate 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 mean curvature k of the near region C is 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 back surface of the progressive multifocal lens is divided into a high-weight area and a low-weight area, and the high-weight area includes a far vision area A, a near vision area C, and an intermediate channel B, wherein a first tangent circle tangent to the straight line l1 and the straight line l3 can be made, and a second tangent circle tangent to the straight line l2 and the straight line l4 can be made, and the area between the first tangent circle and the second tangent circle serves as the intermediate channel B. The far vision area A, the near vision area C, and the intermediate channel B form an area as a whole, namely the high-weight 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-weight areas. The low-weight area includes the peripheral area D, that is, the area other than the far vision area A, the near vision area C, and the intermediate channel B. The astigmatism weight α(x i ,y j ) is greater than the astigmatism weight α(x i ,y j ), the optical power 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. The astigmatism weight α(x i ,y j ) and the focal power weight β(x i ,y j) distribution. This allows the astigmatism weight α(x i ,y j ) and the focal power weight β(x i ,y j ).

[0094] The personalized progressive multifocal lens created by the present invention can set the mirror parameters of the back 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 power 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 constraints until the optical power and astigmatism at all discrete points in the set area simultaneously meet the constraints of the constraint model, so that the vector height data corresponding to each discrete point at the moment when the constraints 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 )-P0(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 Indicates that z is an n-dimensional real vector, that is, 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, 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.

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

[0103] See also Figure 8 and Figure 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 within 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 within the dotted circle in the near vision area is between ±0.06D, which meets the design requirements of personalized progressive multifocal lenses.

[0104] like Figure 9 As 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: determining the mirror surface shape of the back surface of the progressive addition lens according to the optimized sagittal height data of each discrete point.

[0106] The design method for personalized progressive multifocal lenses of the embodiments created by the present invention can set different mirror parameters based on the conditions of different users, thereby allowing for customized division of regions (far vision region, near vision region, intermediate channel, and peripheral region), forming a personalized distribution of expected average curvature and weight, and realizing the determination of different objective functions with constraints, thereby realizing the design of personalized progressive multifocal lenses. At the same time, the set regions are divided according to the mirror parameters, and the optical power and astigmatism of the set regions are precisely controlled for long-term, high-frequency use. While ensuring that other regions outside the set regions meet expectations, the degree accuracy of the set regions is higher and the visual clarity is better.

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

[0108] It should be understood that the various forms of the processes shown above can be used to reorder, add, or delete steps. For example, the steps described in the present disclosure can be performed in parallel, sequentially, or in a different order, as long as the desired results of the technical solutions disclosed in the present disclosure can be achieved. This is not limited herein.

[0109] The above specific embodiments do not limit the scope of protection of the present invention. Those skilled in the art will appreciate that various modifications, combinations, sub-combinations, and substitutions may be made based on design requirements and other factors. Any modifications, equivalent substitutions, and improvements made within the spirit and principles of the present invention are intended to be included within the scope of protection of the present invention.

Claims

1. A method for designing personalized progressive multifocal lenses, characterized in that: include: Setting the mirror parameters of the back surface of the progressive addition lens; According to the mirror parameters, an objective function with constraints is determined and a set area is divided; the formula of the objective function with constraints is: in, For each discrete point corresponding to the vector height data, is the coordinate of each discrete point in the set area in the x-axis direction, is the coordinate of each discrete point in the set area in the y-axis direction, is the objective function to be optimized, and To set the penalty parameters, is the actual optical power at each discrete point in the set area, is the expected optical power at each discrete point in the set area, is the allowable error of the optical power at each discrete point in the set area, is the actual astigmatism at each discrete point in the set area, is the allowable error of astigmatism at each discrete point in the set area; Optimizing the initial sagittal height data corresponding to each discrete point using the objective function with the 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 formula of the constraint model is: in, is the coordinate range of the set area, is the actual optical power at each discrete point in the set area, is the expected optical power at each discrete point in the set area, is the allowable error of the optical power at each discrete point in the set area, is the actual astigmatism at each discrete point in the set area, is the allowable error of astigmatism at each discrete point in the set area; 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 addition lens according to claim 1, wherein: 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 expected optical power of the far vision area, the additional optical power and the refractive index.

3. The method for designing a personalized progressive addition lens according to claim 1, wherein: The formula of the objective function of the optimization is: in, is the number of discrete points in the x-axis or y-axis direction, is the average curvature at each discrete point on the back surface of the progressive addition lens, is the Gaussian curvature at each discrete point on the back surface of the progressive addition lens, is the astigmatism weight, is the focal power weight, is the expected average curvature at each discrete point on the back surface of the progressive addition lens, is the small area corresponding to each discrete point.

4. The method for designing a personalized progressive addition lens according to claim 3, wherein: The formula for the mean curvature at the discrete points is: The formula for the Gaussian curvature at the discrete points is: in, and is the main curvature of the back surface of the progressive addition lens, for The first-order partial derivative in the x-axis direction, for The second-order partial derivative in the x-axis direction, for The first-order partial derivative in the y-axis direction, for The second-order partial derivative in the y-axis direction, yes Second-order mixed partial derivatives in the x-axis and y-axis directions.

5. The method for designing a personalized progressive addition lens according to claim 3, wherein: The back surface of the progressive addition 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 of the high-weight area is Greater than the astigmatism weight of the low-weight area , the optical power weight of the high-weight area Greater than the optical power weight of the low weight area .

6. The method for designing a personalized progressive addition lens according to claim 3, wherein: According to the mirror parameters, the back surface of the progressive addition 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: in, is the optical power of the region, is the refractive index of the progressive addition lens, 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 containing each discrete point. .

7. The method for designing a personalized progressive addition lens according to claim 1, wherein: The formula for the actual optical power at each discrete point in the set area is: The formula for the actual astigmatism at each discrete point in the set area is: in, is the refractive index of the progressive addition lens, and is the principal curvature at each discrete point in the set area, is the average curvature at each discrete point in the set area, 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 point is: in, and is the main curvature of the back surface of the progressive addition lens, for The first-order partial derivative in the x-axis direction, for The second-order partial derivative in the x-axis direction, for The first-order partial derivative in the y-axis direction, for The second-order partial derivative in the y-axis direction, yes Second-order mixed partial derivatives in the x-axis and y-axis directions.

8. A personalized progressive multifocal lens, characterized in that: The personalized progressive addition lens is designed according to the design method of any one of claims 1 to 7.

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