Method for determining an optical lens
A method for determining an optical lens adapted for a wearer and optimized for at least a given optical criterion having a target value around a specific gaze direction. The method includes determining an intermediate optical lens by optimizing, using an optimization function, an initial optical lens so that the difference between the value of the at least given optical criterion of the intermediate optical lens and the target value of gaze directions around a specific gaze direction is smaller than or equal to a threshold value, and determining the optical lens by optimizing the intermediate optical lens so as to obtain the largest zone of gaze directions around the specific gaze direction for which the difference between the value of the at least given optical criterion and the target value around the specific gaze direction is smaller than or equal to the threshold value.
1 . A method implemented by a computer for determining an optical lens adapted for a wearer and optimized for at least a given optical criterion having a target value around a specific gaze direction, the method comprising:
obtaining an initial optical lens having in a specific gaze direction a prescription of the wearer in a given wearing condition; and
performing two distinct optimizations:
a first optimization determining an intermediate optical lens by optimizing, using an optimization function, the initial optical lens so that a difference between the value of the at least given optical criterion of said intermediate optical lens and the target value of gaze direction around the specific gaze direction is smaller than or equal to a threshold value, and
a second optimization determining the optical lens by optimizing the intermediate optical lens so as to obtain a largest zone of gaze directions around the specific gaze direction for which the difference between the value of the at least given optical criterion and the target value around the specific gaze direction is smaller than or equal to the threshold value, wherein
the threshold value is defined by at least one wearer specific sensitivity parameter relative to the optical criterion, and
each gaze direction is defined by a couple of angular parameters corresponding respectively to a lowering angle and an azimuth angle measured from a primary gaze direction, the zone of gaze directions being determined on an apex sphere centered on a center of rotation of an eye.
2 . The method according to claim 1 , wherein the initial optical lens has in the specific gaze direction the prescription of the wearer in the given wearing condition for a given object distance, when determining the intermediate optical lens, the initial lens is optimized for said object distance and when determining the optical lens, the intermediate optical lens is optimized for said object distance.
3 . The method according to claim 1 , wherein the at least given optical criterion is optical power or astigmatism or acuity or distortion.
4 . The method according to claim 1 , wherein the specific gaze direction is the primary gaze direction.
5 . The method according to claim 1 , wherein the optimization function used when determining the intermediate optical lens comprises a weighted cost function dependent on the gaze direction with a decreasing weight when an angle formed by a gaze direction and the specific gaze direction increases.
6 . The method according to claim 1 , wherein the optimization function comprises a penalization function used when determining the intermediate optical lens so as to ensure that in a defined zone of gaze directions around the specific gaze direction the difference between the value of the at least given optical criterion of said intermediate optical lens and the target value around the specific gaze direction is smaller than or equal to the threshold value.
7 . The method according to claim 1 , wherein the intermediate optical lens is determined by optimizing at least one surface of the initial optical lens.
8 . The method according to claim 1 , wherein the intermediate optical lens is determined by adding a Zernike layer to at least one surface of the initial optical lens.
9 . The method according to claim 8 , wherein the Zernike layer has an order greater than or equal to 4.
10 . The method according to claim 1 , wherein the optical lens is determined by optimizing at least one surface of the intermediate optical lens.
11 . The method according to claim 1 , wherein the optical lens is determined by adding a Zernike layer to at least one surface of the intermediate optical lens.
12 . The method according to claim 1 , wherein the optimization of the intermediate optical lens comprises a derivative-free optimization.
13 . The method according to claim 1 , wherein the zone of gaze directions around the specific gaze direction is centered on the specific gaze direction.
14 . The method according to claim 1 , wherein the zone of gaze directions around the specific gaze direction has a shape of a spectacle frame selected by the wearer and a size of the zone of gaze directions around the specific gaze direction is controlled using a homothetic transformation of said shape of the spectacle frame.
15 . The method according to claim 1 , wherein the threshold value is standard or customized depending on the wearer.