Population of an eye model using measurement data in order to optimize spectacle lenses

Abstract

A method, a device, and a corresponding computer program product for calculating (optimizing) and producing a spectacle lens with the aid of a semi-personalized eye model. In one approach, the method includes providing personalized refraction data of at least one eye of the spectacles wearer; establishing a personalized eye model in which at least the parameters: shape of an anterior corneal surface of a model eye; a cornea-lens distance; parameters of the lens of the model eye; and lens-retina distance are established using personalized measured values for the eye of the spectacles wearer, and/or using standard values, and/or using the provided personalized refraction data, such that the model eye has the provided personalized refraction data, wherein at least the establishment of the lens-retina distance takes place via calculation

1 . A computer-implemented method for determining personalized aberration data of at least one eye of a spectacles wearer, comprising:
 providing a measured corneal topography of the at least one eye of the spectacles wearer;   determining, from the measured corneal topography, personalized imaging properties of the cornea of the eye which describe at least higher-order aberrations of the cornea, HOA C  ; and   determining aberrations of the eye which describe at least higher-order aberrations of the eye, such that at least the higher-order aberrations of the eye, HOA Eye , are determined under consideration of the determined personalized imaging properties of the cornea of the eye.   
     
     
         2 . The method according to  claim 1 , wherein the determining the personalized imaging properties of the cornea of the eye comprises determining values of higher-order aberrations of the cornea, HOA C , and wherein the determining the aberrations of the eye comprises determining higher-order aberrations of the eye, HOA Eye , according to HOA Eye  = HOA C  + ΔHOA C,Eye , with a higher-order displacement, ΔHOA C,Eye  = 0. 
     
     
         3 . The method according to  claim 1 , wherein the determining the personalized imaging properties of the cornea of the eye comprises determining lower-order refraction values of the cornea, LOA C , and wherein the determining the aberrations of the eye comprises determining lower-order aberrations of the eye, LOA Eye , according to LOA Eye  = LOA C  + ΔLOA C,Eye , with a lower-order displacement, ΔLOA C,Eye . 
     
     
         4 . The method according to  claim 3 , wherein the determining lower-order refraction values of the cornea, LOA C , comprises determining astigmatic portions of the refraction of the cornea, LOA C,J0  and LOA C,J45 , and wherein the determining lower-order aberrations of the eye, LOA Eye , comprises determining astigmatic portions of the lower-order aberrations of the eye, LOA Eye,J0  and LOA Eye,J45 , according to LOA Eye,J0  = LOA C,J0  and LOA Eye,J45  = LOA C,J45 . 
     
     
         5 . The method according to  claim 3 , wherein the determining lower-order refraction values of the cornea, LOA C , comprises determining a spherical portion of the refraction of the cornea, LOA C,M , and wherein the determining lower-order aberrations of the eye, LOA Eye  , comprises determining a spherical portion of the lower-order aberration of the eye, LOA Eye,M , according to LOA Eye,M  = LOA C,M  - LOA C,M,Std , with a predetermined standard value LOA C,M,Std . 
     
     
         6 . The method according to  claim 3 , wherein the determining lower-order refraction values of the cornea, LOA C , comprises determining a spherical portion of the refraction of the cornea, LOA C,M , and wherein the determining lower-order aberrations of the eye, LOA Eye  , comprises determining a spherical portion of the lower-order aberrations of the eye, LOA Eye,M , according to LOA Eye,M  = LOA C,M  + ΔLOA C,Eye,M  (LOA C,M ), with a linear function ΔLOA C,Eye,M  (LOA C,M ) = ΔLOA C,Eye,M  (LOA C,M,Std ) + α(LOA C,M  - LOA C,M,Std ) having a predetermined standard value LOA C,M,Std  and a predetermined value α, preferably in a range of 5 < α < 15. 
     
     
         7 . The method according to  claim 1 , wherein determining the aberrations of the eye comprises determining lower-order aberrations of the eye, LOA Eye,  using personalized refraction measurements at the at least one eye. 
     
     
         8 . The method according to  claim 1 , wherein the determining aberrations of the eye comprises:
 establishing a personalized eye model in which a shape of an anterior corneal surface of a model eye corresponds to the measured corneal topography, and in which moreover at least:   a cornea-lens distance;   parameters of a lens of the model eye; and   a lens-retina distance are established using personalized measured values for the eye of the spectacles wearer or using standard values or using the determined lower-order aberrations of the eye, such that the model eye has the determined lower-order aberrations of the eye; and   determining an aberration of a wavefront converging at a point on the retina after a refraction at the anterior corneal surface of the model eye and a propagation through the model eye.   
     
     
         9 . The method according to  claim 8 , wherein the establishing the parameters of the lens of the model eye comprises establishing the following parameters:
 shape of the anterior lens surface;   lens thickness; and   shape of the posterior lens surface.   
     
     
         10 . The method according to  claim 8 , wherein the establishing the lens thickness, or of the lens-retina distance of the lens of the model eye takes place using predetermined standard values. 
     
     
         11 . The method according to  claim 8 , wherein the establishing the shape of the anterior lens surface or the of posterior lens surface of the lens of the model eye, takes place using predetermined standard values for the higher-order aberrations of the respective surface. 
     
     
         12 . The method according to  claim 11 , wherein the standard values of the higher-order aberrations of the anterior lens surface or of the posterior lens surface are set to zero. 
     
     
         13 . The method according to  claim 8 , wherein the determining the personalized imaging properties of the cornea of the eye comprises determining lower-order refraction values of the cornea, LOA C , and wherein the establishing the lens-retina distance or the lens thickness or the shape of the anterior lens surface or of the posterior lens surface of the lens of the model eye, takes place using the determined lower-order refraction values of the cornea, LOA C . 
     
     
         14 . The method according to  claim 8 , wherein the determining the aberrations of the eye comprises determining lower-order aberrations of the eye, LOA Eye , and wherein the e the lens-retina distance or of the lens thickness or the shape of the anterior lens surface or of the posterior lens surface of the lens of the model eye, takes place using the determined lower-order aberrations of the eye, LOA Eye . 
     
     
         15 . A computer-implemented method for determining optimized sphero-cylindrical values for at least one eye of a spectacles wearer, the method comprising:
 determining subjective sphero-cylindrical refraction values;   determining objective sphero-cylindrical refraction values, which comprises:
 providing personalized aberration data which have been determined by means of a method according to  claim 1 ; 
 determining a reference wavefront at an evaluation surface using the provided personalized aberration data of the eye; 
 predetermining a starting specification for a wavefront to be optimized, which describes objective sphero-cylindrical refraction values to be optimized, at the evaluation surface; 
 determining a difference wavefront from the wavefront to be optimized and the reference wavefront; 
 evaluating the difference wavefront using the predetermined metric; 
 determining the wavefront to be optimized, such that the evaluation of the difference wavefront satisfies predetermined target criteria; and 
 determining the objective sphero-cylindrical refraction values from the determined wavefront to be optimized; and 
   determining the optimized sphero-cylindrical values as a weighted mean value from the determined subjective sphero-cylindrical refraction values and the determined objective sphero-cylindrical refraction values.   
     
     
         16 . A computer-implemented method for calculating or optimizing a spectacles lens for at least one eye of a spectacles wearer, comprising:
 providing personalized aberration data which have been determined by means of a method according to  claim 1 ;   determining a reference aberration at an evaluation surface using the provided personalized aberration data of the eye;   predetermining a first surface and a second surface for the spectacles lens that is to be calculated or optimized;   determining the path of a primary ray through at least one visual point (i) of at least one surface of the spectacles lens that is to be calculated or optimized;   evaluating an aberration of a wavefront at the evaluation surface, which wavefront results from spherical wavefront striking the first surface of the spectacles lens, in comparison to the determined reference aberration; and   iteratively varying the at least one surface of the spectacles lens, which surface is to be calculated or optimized, until the evaluated aberration corresponds to a predetermined target aberration.   
     
     
         17 . The method according to  claim 16 , wherein the evaluation surface lies on the vertex sphere. 
     
     
         18 . A computer-implemented method for calculating or optimizing a spectacles lens for at least one eye of a spectacles wearer, comprising:
 determining optimized sphero-cylindrical values for at least one eye of a spectacles wearer on the basis of personalized aberration data, which have been determined by means of a method according to  claim 15 ;   establishing or determining a combination of anterior surface and posterior surface as a starting surface, or on the basis of the determined optimized sphero-cylindrical values; and   modifying the established or determined anterior surface or posterior surface on the basis of the determined optimized sphero-cylindrical values.   
     
     
         19 . A device for determining personalized aberration data of at least one eye of a spectacles wearer, comprising:
 a data interface configured to provide a measured corneal topography of the at least one eye of the spectacles wearer;   a cornea evaluator configured to determine personalized imaging properties of the cornea of the eye which describe at least higher-order aberrations of the cornea, HOA C , from the measured corneal topography; and   a calculator configured to determine aberrations of the eye which describe at least higher-order aberrations of the eye, such that at least the higher-order aberrations of the eye, HOA Eye , are determined under consideration of the determined personalized imaging properties of the cornea of the eye.   
     
     
         20 . A device for calculating or optimizing a spectacles lens for at least one eye of a spectacles wearer, comprising:
 a data interface configured to provide personalized aberration data which have been determined by means of a method according to  claim 1 ;   a modeler configured to determine a reference aberration at an evaluation surface using the provided personalized aberration data of the eye;   a surface model database configured to predetermine a first surface and a second surface for the spectacles lens to be calculated or optimized;   a primary ray determiner configured to determine the path of a primary ray through at least one visual point (i) of at least one surface of the spectacles lens, which surface is to be calculated or optimized;   an evaluator configured to evaluate an aberration of a wavefront at the evaluation surface, said wavefront resulting along the primary ray from a spherical wavefront striking the first surface of the spectacles lens, in comparison to the determined reference aberration; and   an optimizer configured to iteratively vary the at least one surface of the spectacles lens, which surface is to be calculated or optimized, until the evaluated aberration corresponds to a predetermined target aberration.   
     
     
         21 . A spectacles lens which is calculated or optimized by means of a device according to  claim 20 . 
     
     
         22 . A non-transitory computer program product which comprises program code that is designed to implement a method for determining personalized aberration data of at least one eye of a spectacles wearer according to  claim 1 , when loaded and executed on a computer. 
     
     
         23 . A method for producing a spectacles lens, comprising:
 calculating or optimizing a spectacles lens according to the method for calculation or optimization of a spectacles lens according to  claim 16 ; and   manufacturing the spectacles lens so calculated or optimized.   
     
     
         24 . A device for producing a spectacles lens, comprising:
 a calculator or optimizer configured to calculate or optimize the spectacles lens according to the method for calculating or optimizing a spectacles lens according to  claim 16 ; and   a machine configured to machine the spectacles lens according to the result of the calculation or optimization.   
     
     
         25 . A spectacles lens which has been produced via a method according to  claim 23 .