Method for calculation of the magnification and/or distortion and method for production of a spectacle lens with low magnification and/or distortion

• US 8,805,612 B2
• Filed: 11/24/2006
• Issued: 08/12/2014
• Est. Priority Date: 12/01/2005
• Status: Active Grant

• Current Assignee: Rodenstock GmbH (Bridgepoint Advisers Group Limited)
• Original Assignee: Rodenstock GmbH (Bridgepoint Advisers Group Limited)
• Inventors: Becken, Wolfgang, Esser, Gregor, Altheimer, Helmut, Uttenweiler, Dietmar
• Primary Examiner(s): Breene, John
• Assistant Examiner(s): Zhang, Haihui
• Application Number:
  US12/095,639
• Publication Number:
  US 20100198515A1
• Time in Patent Office: 2,818 Days
• Field of Search: 702/1, 351/159.76, 351/159.77
• US Class Current: 702/1
• CPC Class Codes: G02C 7/024 Methods of designing ophthalmic lenses
• CPC Class Codes: G02C 7/027 considering wearer's parameters
• CPC Class Codes: G02C 7/028 Special mathematical design techniques
• CPC Class Codes: G02C 7/061 Spectacle lenses with progressively varying focal power
• CPC Class Codes: G02C 7/063 Shape of the progressive surface

Abstract

The invention relates to a method for calculation of the local magnification and/or the local distortion of a spectacle lens in at least one predetermined or predeterminable viewing direction, with the spectacle lens being designed to correct a refraction deficit of an eye, and having at least one object-side surface and one second eye-side surface, comprising the following steps: Calculation for the predetermined or predeterminable viewing direction of the profile of a main beam which originates from a predetermined or predeterminable infinitesimally small object and, after refraction by the spectacle lens, passes through the rotation point of the eye, through the entrance pupil of the eye or through the principal plane of the eye; determination of the main curvatures and directions of a local wavefront associated with the main beam on refraction by the spectacle lens; calculation of the local magnification and/or the local distortion of the spectacle lens from the determined main curvatures and directions of the local wavefront, the data relating to the profile of the main beam, and the data relating to the spectacle lens.

Claims

1. A method of calculating local magnification and/or local distortion of a spectacle lens in at least one predetermined or predeterminable viewing direction, the spectacle lens being configured for correcting a refractive deficit of an eye and having at least a first object-side surface and a second eye-side surface, comprising:

calculating, by a computer, a course of a main beam for the predetermined or predeterminable viewing direction, which main beam originates from a predetermined or object point and, after refraction by the spectacle lens, passes through a rotation point of the eye, through eye entrance pupils or through an eye principal plane;

determining, by the computer, main curvatures and directions of a local wave front associated with the main beam on refraction by the spectacle lens; and

calculating, by the computer, a local magnification and/or a local distortion of the spectacle lens from the determined main curvatures and local wave front directions, main beam course data and spectacle lens data.

2. The method of claim 1, wherein calculating, by the computer, the local magnification and/or the local distortion takes into account a finite distance of the object from the spectacle lens.

3. The method of claim 1, wherein at least one of the first and second surfaces is a rotationally asymmetrical surface, and the spectacle lens data comprise data with respect to rise heights and/or local curvatures of the at least one rotationally asymmetrical surface.

4. The method of claim 3, wherein the at least one rotationally asymmetrical surface is one of a progressive surface with a continuously changing refractive power between a far and a near reference point and an aspherical or atoric surface.

5. The method of claim 1, wherein the calculation of the local magnification and/or of the local distortion takes place by paraxial approximation.

6. The method of claim 1, wherein calculating, by the computer, the local magnification and/or the local distortion takes into account a non-paraxial course of the main beam.

7. The method of claim 1, wherein calculating, by the computer, the local magnification and/or the local distortion further comprises calculating, by the computer, a local magnification matrix from characteristics of the local wave front, and calculating magnification of the spectacle lens as an average value of Eigenvalues of the magnification matrix and the distortion is calculated as the difference between the Eigenvalues of the magnification matrix.

8. The method of claim 7, wherein the local magnification matrix is calculated according to following formulas set forth herein, wherein individual local factors or quantities are always evaluated at intersection points of the main beam with the respective surface of the spectacle lens,

9. The method of claim 8, wherein the local magnification matrix, the local inverse matrix of the inherent magnification, the local inverse matrix of the system magnification, the local curvature or vergency matrix of the incident spherical wave front on the first surface of the spectacle lens, the local curvature or vergency matrix of the wave front after the refraction at the i-th surface of the spectacle lens S′

_i, i=1, 2 and the local curvature or vergency matrix S₂ of the wave front incident on the second surface of the spectacle lens are proportional to the unit matrix.

10. The method of claim 7, wherein the magnification matrix is calculated according to the following formulas, wherein the individual local factors or quantities are always evaluated at the main beam intersection points (D1, D2) with the respective surface of the spectacle lens,

11. The method of claim 1, wherein the local magnification and/or distortion of the spectacle lens is determined for a plurality of predetermined or predeterminable viewing directions.

12. The method of claim 1, further comprising:

collecting, by the computer, data relating to the spectacle lens, particularly data concerning a thickness, rising heights of a front face and a back face of the spectacle lens and/or a local curvatures of the front face and back face of the spectacle lens.

13. A computer program product comprising a non-transitory processor readable storage medium having processor executable code embodied therein that is designed, when loaded and executed on a computer, for implementing the method of calculating local magnification and/or local distortion of a spectacle lens in at least one predetermined or predeterminable viewing direction, the spectacle lens being configured for correcting a refractive deficit of an eye and having at least a first object-side surface and a second eye-side surface, comprising:

calculating a course of a main beam for the predetermined or predeterminable viewing direction, which main beam originates from a predetermined or object point and, after refraction by the spectacle lens, passes through a rotation point of the eye, through eye entrance pupils or through an eye principal plane;

determining main curvatures and directions of a local wave front associated with the main beam on refraction by the spectacle lens; and

calculating a local magnification and/or a local distortion of the spectacle lens from the determined main curvatures and local wave front directions, main beam course data and spectacle lens data.

14. A non-transitory data carrier medium having a computer program stored thereon, wherein the computer program is designed, when loaded and executed on a computer, to carry out the method of calculating local magnification and/or local distortion of a spectacle lens in at least one predetermined or predeterminable viewing direction, the spectacle lens being configured for correcting a refractive deficit of an eye and having at least a first object-side surface and a second eye-side surface, comprising:

calculating a course of a main beam for the predetermined or predeterminable viewing direction, which main beam originates from a predetermined or object point and, after refraction by the spectacle lens, passes through a rotation point of the eye, through eye entrance pupils or through an eye principal plane;

determining main curvatures and directions of a local wave front associated with the main beam on refraction by the spectacle lens; and

calculating a local magnification and/or a local distortion of the spectacle lens from the determined main curvatures and local wave front directions, main beam course data and spectacle lens data.

15. A system for calculating a local magnification and/or a local distortion of a spectacle lens in at least one predetermined or predeterminable viewing direction, the spectacle lens being designed for correcting a refraction deficit of an eye and having at least a first object-side surface and a second eye-side surface, comprising:

collecting devices for the collection of data relative to the spectacle lens;

calculating devices for calculating by means of the data relative to the spectacle lens the course of a main beam for the predetermined or predeterminable viewing direction, the main beam originating from a predetermined or object point and, after the refraction by the spectacle lens, extending through the rotation point of the eye, through the entrance pupil of the eye or through the principal plane of the eye;

calculating devices for calculating the main curvatures and directions of a local wave front pertaining to the main beam during the refraction by the spectacle lens; and

calculating devices for calculating the local magnification and/or the local distortion of the spectacle lens from the determined main curvatures and directions of the local wave front, the data of the course of the main beam, and the data relative to the spectacle lens.

16. A method of calculating local magnification and/or local distortion of a spectacle lens in at least one predetermined or predeterminable viewing direction, the spectacle lens being configured for correcting a refractive deficit of an eye and having at least a first object-side surface and a second eye-side surface, comprising:

calculating, by a computer, a course of a main beam for the predetermined or predeterminable viewing direction, which main beam originates from a predetermined or object point and, after refraction by the spectacle lens, passes through a rotation point of the eye, through eye entrance pupils or through an eye principal plane,

determining, by the computer, main curvatures and directions of a local wave front associated with the main beam on refraction by the spectacle lens;

calculating, by the computer, a local magnification and/or a local distortion of the spectacle lens from the determined main curvatures and local wave front directions, main beam course data and spectacle lens data; and

minimizing, by the computer, a performance function F, wherein

17. The method of claim 16, wherein the weighting G_v,i of the magnification in the performance function F or the weighting G_z,i of the distortion in the performance function F is equal to zero.

18. The method of claim 16, wherein the calculation or optimization step takes place such that additionally the refraction errors and/or the astigmatic error of the spectacle lens are minimized.

19. A computer program product comprising a non-transitory processor readable storage medium having processor executable code embodied therein that is designed, when loaded and executed on a computer, for implementing a method of optimizing a spectacle lens while taking into account a magnification and/or a distortion of the spectacle lens, the method for the optimization of the spectacle lens comprising a calculation or optimization step which takes place such that the performance function F is minimized,

20. A non-transitory data carrier medium having a computer program stored thereon, wherein the computer program is designed, when loaded and executed on a computer, for implementing a method of optimizing a spectacle lens while taking into account the magnification and/or the distortion of the spectacle lens, the method of optimizing the spectacle lens comprising a calculating or optimizing step, the calculating or optimization step taking place such that a performance function F is minimized, wherein

21. A system for producing a spectacle lens while taking into account a magnification and/or a distortion of the spectacle lens, which is designed for correcting a refraction deficit of an eye and has at least a first object-side and a second eye-side surface, wherein the system comprises:

collecting devices for collecting target data of a spectacle lens; and

calculating and optimizing devices for calculating and optimizing at least one surface of the spectacle lens, the calculation and optimization respectively taking place such that a performance function F is minimized,

wherein