Method and apparatus for generating a surface of an optical lens
View Patent ↗A method of generating a target surface {tilde over (S)}( λ ) of an optical lens for the manufacture of the optical lens according to optical lens parameters λ , the method comprising: providing a set of L first surface difference data E(λ j ) each first surface difference data E(λ j ) corresponding to the surface difference between a pre-calculated surface S λ j pc (α λ j ) (j=1, . . . , L) and an initial surface S λ j ini (j=1, . . . , L), from which the target surface will be generated, according to the expression: E (λ j )= S λ j pc (α λ j )− S λ j ini (j=1, . . . , L) where λ j (j=1, . . . , L) correspond to the optical lens parameters of the pre-calculated optical lenses; providing a set of second surface difference data {tilde over (E)}( λ ) corresponding to the surface difference between the target optical surface {tilde over (S)}( λ ) and the initial surface S λ ini by linear interpolation of the first surface difference data E(λ j ) according to the expression: E ~ ( λ _ ) = ∑ j = 1 L w j λ _ E ( λ j ) , where w j λ represents an interpolation coefficient; and; determining the target surface {tilde over (S)}( λ ) by combining the second surface difference data {tilde over (E)}( λ ) and the initial surface S λ ini according to the expression: {tilde over (S)}( λ )={tilde over (E)}( λ )+S λ ini .
1. A method of generating a target optical surface {tilde over (S)}( λ ) of an optical lens according to optical lens parameters λ , for manufacturing the optical lens, the method comprising the steps of:
providing a set of L first surface difference data E(λ j ) each first surface difference data E(λ j ) corresponding to a surface difference between a pre-calculated surface S λ j pc (α λ j )(j=1, . . . , L) and an initial surface S λ j ini (j=1, . . . , L), from which a target surface of the optical lens is generated, according to:
E (λ j )= S λ j pc (α λ j )− S λ j ini (j=1, . . . , L)
where λ j (j=1, . . . , L) correspond to the optical lens parameters of optical lenses associated with the pre-calculated surfaces;
providing a set of second surface difference data {tilde over (E)}( λ ) corresponding to a surface difference between the target optical surface {tilde over (S)}( λ ) and the initial surface S λ ini by linear interpolation of the first surface difference data E(λ j ) according:
E
~
(
λ
_
)
=
∑
j
=
1
L
w
j
λ
_
E
(
λ
j
)
,
where w j λ represents an interpolation coefficient; and;
determining by a processor the target surface {tilde over (S)}( λ ) of the optical lens by combining the second surface difference data {tilde over (E)}( λ ) and the initial surface S λ ini according to:
{tilde over (S)} ( λ )= {tilde over (E)} ( λ )+ S λ ini .
2. The method according to claim 1 , wherein the interpolation coefficient w j λ =0 if λ j O λ ,
where O λ corresponds to a parameter subset for which λ εO λ from among M parameter subsets O i(i=1, . . . , M) .
3. The method according to claim 1 , wherein the interpolation coefficients w j λ i =δ ij for (i,j=1, . . . , L) where δ ij represents the Kronecker symbol where δ ij =0 if i≠j and δ ij =1 si i=j.
4. The method of claim 1 , wherein the optical lens parameters λ j (j=1, . . . L) are modified in order to optimize the step of interpolation.
5. The method of claim 1 , further comprising the step of covering the pre-defined parameter subsets O i(i=1, . . . , M) by one or more of N T n-polytopes P k (k=1,N T ), vertices of which make up part of the optical lens parameters λ j (j=1, . . . , L) according to:
O
=
⋃
M
i
=
1
O
i
=
⋃
N
T
k
=
1
P
k
.
6. A method of manufacturing an optical lens comprising generating an optical surface {tilde over (s)}( λ ) of the optical lens according to the method of claim 1 and a step of manufacturing the optical surface according to the optical surface {tilde over (s)}( λ ) generated.
7. A computer program product comprising a non-transitory storage medium comprising a set of instructions which, when executed by a data-processing device, causes the device to perform the steps of the method of claim 1 .
8. A non-transitory computer-readable medium having computer-executable instructions to enable a computer system to perform the method of claim 1 .