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

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.

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.

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.

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
• min
• ⁢
• ⁢
• F
• =
• min
• ⁡
• (
• ∑
• i
• ⁢
• G
• V
• ,
• i
• ⁡
• (
• N
• actual
• ⁡
• (
• i
• )
• -
• N
• des
• ⁡
• (
• i
• )
• )
• 2
• +
• (
• G
• Z
• ,
• i
• ⁢
• (
• Z
• actual
• ⁡
• (
• i
• )
• -
• Z
• des
• ⁡
• (
• i
• )
• )
• 2
• )
• )
• ,
• and wherein
• Nactual(i) indicates the actual magnification of the spectacle lens at the i-th evaluation point
• Ndes(i) indicates the desired magnification of the spectacle lens at the i-th evaluation point
• Gv,i indicates the weighting of the magnification of the spectacle lens at the i-th evaluation point
• Zactual(i) indicates the actual distortion of the spectacle lens at the i-th evaluation point
• Zdes(i) indicates the desired distortion at the i-th evaluation point, and
• Gv,i indicates the weighting of the distortion at the i-th evaluation point.

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,

• min
• ⁢
• ⁢
• F
• =
• min
• ⁡
• (
• ∑
• i
• ⁢
• G
• V
• ,
• i
• ⁡
• (
• N
• actual
• ⁡
• (
• i
• )
• -
• N
• des
• ⁡
• (
• i
• )
• )
• 2
• +
• (
• G
• Z
• ,
• i
• ⁢
• (
• Z
• actual
• ⁡
• (
• i
• )
• -
• Z
• des
• ⁡
• (
• i
• )
• )
• 2
• )
• )
• ,
• wherein
• Nactual(i) indicates the actual magnification of the spectacle lens at the i-th evaluation point,
• Ndes(i) indicates the desired magnification of the spectacle lens at the i-th evaluation point,
• Gv,i indicates the weighting of the magnification of the spectacle lens at the i-th evaluation point,
• Zactual(i) indicates the actual distortion of the spectacle lens at the i-th evaluation point,
• Zdes(i) indicates the desired distortion at the i-th evaluation point,
• Gz,i indicates the weighting of the distortion at the i-th evaluation point.

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

• min
• ⁢
• ⁢
• F
• =
• min
• ⁡
• (
• ∑
• i
• ⁢
• G
• V
• ,
• i
• ⁡
• (
• N
• actual
• ⁡
• (
• i
• )
• -
• N
• des
• ⁡
• (
• i
• )
• )
• 2
• +
• (
• G
• Z
• ,
• i
• ⁢
• (
• Z
• actual
• ⁡
• (
• i
• )
• -
• Z
• des
• ⁡
• (
• i
• )
• )
• 2
• )
• )
• ,
• and wherein
• Nactual(i) indicates the actual magnification of the spectacle lens at the i-th evaluation point,
• Ndes(i) indicates the desired magnification of the spectacle lens at the i-th evaluation point,
• Gv,i indicates the weighting of the magnification of the spectacle lens at the i-th evaluation point,
• Zactual(i) indicates the actual distortion of the spectacle lens at the i-th evaluation point,
• Zdes(i) indicates the desired distortion at the i-th evaluation point,
• Gv,i indicates the weighting of the distortion at the i-th evaluation point.

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
• min
• ⁢
• ⁢
• F
• =
• min
• ⁡
• (
• ∑
• i
• ⁢
• G
• V
• ,
• i
• ⁡
• (
• N
• actual
• ⁡
• (
• i
• )
• -
• N
• des
• ⁡
• (
• i
• )
• )
• 2
• +
• (
• G
• Z
• ,
• i
• ⁢
• (
• Z
• actual
• ⁡
• (
• i
• )
• -
• Z
• des
• ⁡
• (
• i
• )
• )
• 2
• )
• )
• ,
• and wherein
• Nactual(i) indicates the actual magnification of the spectacle lens at the i-th evaluation point,
• Ndes(i) indicates the desired magnification of the spectacle lens at the i-th evaluation point,
• Gv,i indicates the weighting of the magnification of the spectacle lens at the i-th evaluation point,
• Zactual(i) indicates the actual distortion of the spectacle lens at the i-th evaluation point,
• Zdes(i) indicates the desired distortion at the i-th evaluation point,
• Gz,i indicates the weighting of the distortion at the i-th evaluation point.