Method for determining the inset of a progressive addition lens
View Patent ↗A method for determining the value of the inset of a progressive addition lens according to a wearer comprising the steps of: providing convergence data, determining from the convergence data the inset of the progressive addition lens considering at least the convergence data and the prismatic effect of the progressive addition lens.
1. A progressive addition lens manufacturing method, comprising:
providing an order request comprising at least the wearer prescription,
determining the design and optical parameters of at least one progressive addition lens according to the wearer data,
determining the value of the inset of at least one progressive addition lens to be placed before a wearer's eye in a given spectacle frame,
manufacturing at least one progressive addition lens having the determined inset and the calculated design and optical parameters,
wherein the value of the inset of a progressive addition lens is determined using a determination method implemented by computer means, the determination method comprising:
providing convergence data,
determining from the convergence data the inset of the progressive addition lens considering at least the convergence data, the prismatic effect of the progressive addition lens and at least one criteria in the list consisting of:
the monocular pupillary distance of the wearer's eye in far vision,
the distance between the center of rotation and the cornea of the wearer's eye,
the distance between the cornea of the wearer's eye and a plan defined for the measurement of the monocular pupillary distance,
the distance between the cornea of the wearer's eye and the lens at the level of the fitting cross of the progressive addition lens when the wearer is wearing the lens in the given spectacle frame, and
the thickness of the progressive addition lens at the prism reference point, and
wherein the right inset (I r ) of a right progressive addition lens and/or the left inset (I l ) of a left progressive addition lens are determined by:
I
r
=
{
EP
r
-
Δ
S
1
+
W
r
f
(
CC
r
,
DVO
r
,
e
r
,
LP
r
,
T
r
)
-
W
r
·
g
(
n
r
,
B
1.53
r
,
P
x
r
)
+
C
}
·
cos
(
G
r
)
,
I
l
=
{
EP
l
+
Δ
S
1
+
W
l
f
(
CC
l
,
DVO
l
,
e
l
,
LP
l
,
T
l
)
-
W
l
·
g
(
n
l
,
B
1.53
l
,
P
x
l
)
+
C
}
·
cos
(
G
l
)
where EP r and EP l are the monocular pupillary distance of right and left eyes of the wearer in far vision,
Δ
S
=
(
EP
l
+
EP
r
)
1
+
Δ
EP
r
Δ
EP
l
×
CC
l
+
DVO_MES
l
CC
r
+
DVO_MES
r
-
EP
l
W
r
=
(
EP
l
+
EP
r
)
Δ
EP
l
CC
l
+
DVO_MES
l
+
Δ
EP
r
CC
r
+
DVO_MES
r
-
CC
r
-
DVO
r
-
e
r
W
l
=
(
EP
l
+
EP
r
)
Δ
EP
l
CC
l
+
DVO_MES
l
+
Δ
EP
r
CC
r
+
DVO_MES
r
-
CC
l
-
DVO
l
-
e
l
,
with
ΔEP l and ΔEP r the monocular pupillary convergence of the left and right eyes,
CC l and CC r the distance between the center of rotation and the cornea for the left and right eyes,
DVO_MES l and DVO_MES r the distances between the cornea and the plan defined for the measurement of the monocular pupillary distance for the left and right eyes,
DVO l the distance between the cornea of the left eye and the progressive addition lens at the level of the fitting cross of the progressive addition lens when the wearer is wearing the left lens in the given spectacle frame,
DVO r the distance between the cornea of the right eye and the progressive addition lens at the level of the fitting cross of the progressive addition lens when the wearer is wearing the right lens in the given spectacle frame, and
e l and e r the thickness of the left and right progressive addition lenses at the prism reference point;
f is, for each of the left and right eyes and lenses, a function of:
the distance between the centre of rotation and the cornea of the eye,
the distance between the cornea of the eye and the lens at the level of the fitting cross of the progressive addition lens when the wearer is wearing the lens in the given spectacle frame,
the thickness e l , e r of the lens at the prism reference point,
the progression length LP l , LP r of the progressive addition lens, and
the pantoscopic angle T l , T r of the chosen spectacle frame;
g is, for each of the left and right eyes and lenses, a function of:
the value of the base B 1.53 l ,B 1.53 r of the front face of the progressive addition lens expressed in diopter using an indice of 1.53,
the index n l , n r of the progressive addition lens, and
the value of the parameter P l X , P r X that corresponds to the sum SPH+CYL.sin 2 (AXE)+ADD, with SPH, CYL, AXE and ADD respectively the sphere, the cylinder, the axe and the addition of the wearer prescription;
C is a parameter, its value is comprised between −0.5 and −0.05; and
G l and G r represent the wrap angle of the left and right frames of the chosen spectacle frame.
2. The method according to claim 1 , wherein
the inset of the progressive addition lens is determined for a wearer's eye by having all the values of the parameters of the right and left side equal to the values of the parameters of the wearer's eye side, and as a consequence:
I
=
{
EP
1
+
W
f
(
CC
,
DVO
,
e
,
LP
,
T
)
-
W
·
g
(
n
,
B
1.53
,
P
X
)
+
C
}
·
cos
(
G
)
where
EP is the monocular pupillary distance of the wearer's eye in far vision,
W
=
EP
·
(
CC
+
DVO_MES
)
Δ
EP
-
CC
-
DVO
-
e
,
with
ΔEP the monocular pupillary convergence of the wearer's eye,
CC the distance between the center of rotation of the eye and the cornea of the wearer's eye,
DVO_MES the distance between the cornea of the wearer's eye and the plan defined for the measurement of the monocular pupillary distances,
DVO the distance between the cornea of the wearer's eye and the progressive addition lens at the level of the fitting cross of the progressive addition lens when the wearer is wearing the progressive addition lens in the given spectacle frame,
e the thickness of the progressive addition lens at the prism reference point;
f is a function of:
the distance between the center of rotation and the cornea of the wearer's eye,
the distance between the cornea of the wearer's eye and the progressive addition lens at the level of the fitting cross of the progressive addition lens when the wearer is wearing the progressive addition lens in the given spectacle frame,
the thickness e of the lens at the prism reference point,
the length of progression LP of the progressive addition lens, and
the pantoscopic angle T of the chosen spectacle frame;
g is a function of:
the value B 1.53 of the base of the front face of the lens expressed in diopter using an indice of 1.53,
the index n of the progressive addition lens, and
P X =SPH+CYL.sin 2 (AXE)+ADD, with SPH, CYL, AXE and ADD respectively the sphere, the cylinder, the axe and the addition of the wearer prescription;
C is a parameter, its value is comprised between −0.5 and −0.05; and
G represents the wrap angle of the chosen spectacle frame.
3. The method according to claim 1 , wherein
g
=
P
X
×
g
1
·
(
1
+
B
1.53
·
P
X
×
g
2
)
(
n
-
1
)
,
where g 1 and g 2 are constants, with
3 E −4 ≦g 1 ≦9 E −4 , and
−4 E −3 ≦g 2 ≦−1 E −3 .
4. The method according to claim 1 , wherein said right inset (I r ) is determined using
f =[(( CC r +DVO r )− LP r .sin( T r )) 2 +( LP r .cos( T r )) 2 ] 1/2 +f 1 .e r
with
0.5 ≦f 1 ≦1.5,
and said left inset (I l ) is determined using
f =[(( CC l +DVO l )− LP l .sin( T l )) 2 +( LP l .cos( T l )) 2 ] 1/2 +f 1 .e l
with
0.5 ≦f 1 ≦1.5.
5. A progressive addition lens manufacturing method, comprising:
providing an order request comprising at least the wearer prescription,
determining the design and optical parameters of at least one progressive addition lens according to the wearer data,
determining the value of the inset of at least one progressive addition lens to be placed before a wearer's eye in a given spectacle frame,
manufacturing at least one progressive addition lens having the determined inset and the calculated design and optical parameters,
wherein the value of the inset of a progressive addition lens is determined using a determination method implemented by computer means, the determination method comprising:
providing convergence data,
determining from the convergence data the inset of the progressive addition lens considering at least the convergence data, the prismatic effect of the progressive addition lens and at least one criteria in the list consisting of:
the monocular pupillary distance of the wearer's eye in far vision,
the distance between the center of rotation and the cornea of the wearer's eye,
the distance between the cornea of the wearer's eye and a plan defined for the measurement of the monocular pupillary distance,
the distance between the cornea of the wearer's eye and the lens at the level of the fitting cross of the progressive addition lens when the wearer is wearing the lens in the given spectacle frame, and
the thickness of the progressive addition lens at the prism reference point, and
wherein the right inset (I r ) of a right progressive addition lens and/or the left inset (I l ) of a left progressive addition lens are determined by:
I
r
=
{
EP
r
-
Δ
S
1
+
W
r
f
(
CC
r
,
DVO
r
,
e
r
,
LP
r
,
T
r
,
n
r
,
Y
VP
r
,
P
y
r
)
-
W
r
·
g
(
n
r
,
B
1.53
r
,
P
x
r
)
+
C
}
·
cos
(
G
r
)
,
I
l
=
{
EP
l
+
Δ
S
1
+
W
l
f
(
CC
l
,
DVO
l
,
e
l
,
LP
l
,
T
l
,
n
l
,
Y
VP
l
,
P
y
l
)
-
W
l
·
g
(
n
l
,
B
1.53
l
,
P
x
l
)
+
C
}
·
cos
(
G
l
)
where
EP r and EP l are the monocular pupillary distance of right and left eyes of the wearer in far vision,
Δ
S
=
(
EP
l
+
EP
r
)
1
+
Δ
EP
r
Δ
EP
l
×
CC
l
+
DVO_MES
l
CC
r
+
DVO_MES
r
-
EP
l
W
r
=
(
EP
l
+
EP
r
)
Δ
EP
l
CC
l
+
DVO_MES
l
+
Δ
EP
r
CC
r
+
DVO_MES
r
-
CC
r
-
DVO
r
-
e
r
W
l
=
(
EP
l
+
EP
r
)
Δ
EP
l
CC
l
+
DVO_MES
l
+
Δ
EP
r
CC
r
+
DVO_MES
r
-
CC
l
-
DVO
l
-
e
l
,
where
ΔEP l and ΔEP r the monocular pupillary convergence of the left and right eyes,
CC l and CC r the distance between the center of rotation of the eye and the cornea for the left and right eyes,
DVO_MES l and DVO_MES r the distances between the cornea and the plan defined for the measurement of the monocular pupillary distance for the left and right eyes,
DVO l the distance between the cornea of the left eye and the progressive addition lens at the level of the fitting cross of the progressive addition lens when the wearer is wearing the left progressive addition lens in the given spectacle frame,
DVO r the distance between the cornea of the right eye and the progressive addition lens at the level of the fitting cross of the progressive addition lens when the wearer is wearing the right progressive addition lens in the given spectacle frame, and
e l and e r the thickness of the left and right progressive addition lens at the prism reference point;
f is, for each of the left and right eyes and lenses, a function of:
the distance between the center of rotation of the eye and the cornea,
the distance between the cornea and the lens at the level of the fitting cross of the progressive addition lens when the wearer is wearing the progressive addition lens in the given spectacle frame,
the thickness e l , e r of the lens at the prism reference point,
the progression length LP l , LP r of the progressive addition lens,
the pantoscopic angle T l , T r of the chosen spectacle frame,
the vertical position Y l VP , Y r VP of the near vision point of the left and right progressive addition lens relative to the prism reference point, and
Py=SPH+CYL.cos 2 (AXE)+ADD, with SPH, CYL, AXE and ADD respectively the sphere, the cylinder, the axe and the addition of the wearer prescription;
g is, for each of the left and right eyes and lenses, a function of:
the value of the base B 1.53 l ,B 1.53 r of the front face of the progressive addition lens expressed in diopter using an indice of 1.53,
the index n l , n r of the progressive addition lens, and
the value of the parameter P l X , P r X that corresponds to the sum SPH+CYL.sin 2 (AXE)+ADD, with SPH, CYL, AXE and ADD respectively the sphere, the cylinder, the axe and the addition of the wearer prescription;
C is a parameter, its value is comprised between −0.5 and −0.05; and
G l and G r represent the wrap angle of the left and right frames of the chosen spectacle frame.
6. The method according to claim 5 , wherein
the inset of the progressive addition lens is determined for a wearer's eye by having all the values of the parameters of the right and left side equal to the values of the parameters of the wearer's eye side, and as a consequence:
I
=
{
EP
1
+
W
f
(
CC
,
DVO
,
e
,
LP
,
T
,
n
,
Y
VP
,
P
y
)
-
W
·
g
(
n
,
B
1.53
,
P
X
)
+
C
}
·
cos
(
G
)
where
EP is the monocular pupillary distance of the wearer's eye in far vision,
W
=
EP
·
(
CC
+
DVO_MES
)
Δ
EP
-
CC
-
DVO
-
e
,
with
EP the monocular pupillary distance of the wearer's eye in far vision,
ΔEP the monocular pupillary convergence,
CC the distance between the center of rotation and the cornea of the wearer's eye,
DVO_MES the distance between the cornea of the wearer's eye and the plane defined for the measurement of the monocular pupillary distance, and
DVO the distance between the cornea of the wearer's eye and the progressive addition lens at the level of the fitting cross when the wearer is wearing the progressive addition lens in the given spectacle frame, and
e the thickness of the progressive addition lens at the prism reference point;
f is a function of:
the distance between the center of rotation and the cornea of the wearer's eye,
the distance between the cornea of the wearer's eye and the progressive addition lens at the level of the fitting cross when the wearer is wearing the progressive addition lens in the given spectacle frame,
the thickness e of the lens at the prism reference point,
the length of progression LP of the progressive addition lens,
the pantoscopic angle T of the chosen spectacle frame,
the index n of the progressive addition lens,
the vertical position Y VP of the near vision point of the progressive addition lens relative to the prism reference point, and
Py=SPH+CYL.cos 2 (AXE)+ADD, with SPH, CYL, AXE and ADD respectively the sphere, the cylinder, the axe and the addition of the wearer prescription;
g is a function of:
the value of the base B 1.53 of the front face of the lens expressed in diopter using an indice of 1.53,
the index n of the progressive addition lens, and
P X =SPH+CYL.sin 2 (AXE)+ADD, with SPH, CYL, AXE and ADD respectively the sphere, the cylinder, the axe and the addition of the wearer prescription;
C is a parameter, its value is comprised between −0.5 and −0.05; and
G represents the wrap angle of the chosen spectacle frame.
7. The method according to claim 5 , wherein
g
=
P
X
×
g
1
·
(
1
+
B
1.53
·
P
X
×
g
2
)
(
n
-
1
)
,
where g 1 and g 2 are constants, with
3 E −4 ≦g 1 ≦9 E −4 , and
−4 E −3 ≦g 2 ≦−1 E −3 .
8. A progressive addition lens design method comprising the steps of:
providing an order request comprising at least the wearer prescription,
determining the design and optical parameters of at least one progressive addition lens according to the wearer data,
determining the value of the inset of at least one progressive addition lens according to claim 5 .
9. A method of ordering a progressive addition lens comprising the step of:
determining the monocular pupillary distance in far vision,
sending an order request for at least one progressive addition lens comprising at least the wearer data and the monocular pupillary distance, and
receiving the at least one progressive addition lens,
wherein the inset of the progressive addition lens is determined according to claim 5 .
10. The method according to claim 5 , wherein said right inset (I r ) is determined using
f
=
[
(
(
CC
r
+
DVO
r
)
-
LP
r
·
sin
(
T
r
)
)
2
+
(
LP
r
·
cos
(
T
r
)
)
2
]
1
2
+
f
1
·
e
r
+
f
2
·
(
Y
VP
r
)
2
(
n
r
-
1
)
P
Y
r
with
0.5 ≦f 1 ≦1.5,
−3 .E −3 ≦f 2 ≦−0.5 E −3 ,
and said left inset (I l ) is determined using
f
=
[
(
(
CC
l
+
DVO
l
)
-
LP
l
·
sin
(
T
l
)
)
2
+
(
LP
l
·
cos
(
T
l
)
)
2
]
1
2
+
f
1
·
e
l
+
f
2
·
(
Y
VP
l
)
2
(
n
l
-
1
)
P
Y
l
with
0.5 ≦f 1 ≦1.5,
−3 .E 3 ≦f 2 ≦−0.5 E −3 .
11. A progressive addition lens manufacturing method, comprising:
providing an order request comprising at least the wearer prescription,
determining the design and optical parameters of at least one progressive addition lens according to the wearer data,
determining the value of the inset of at least one progressive addition lens to be placed before a wearer's eye in a given spectacle frame,
manufacturing at least one progressive addition lens having the determined inset and the calculated design and optical parameters,
wherein the value of the inset of a progressive addition lens is determined using a determination method implemented by computer means, the determination method comprising:
providing convergence data,
determining from the convergence data the inset of the progressive addition lens considering at least the convergence data, the prismatic effect of the progressive addition lens and at least one criteria in the list consisting of:
the monocular pupillary distance of the wearer's eye in far vision,
the distance between the center of rotation and the cornea of the wearer's eye,
the distance between the cornea of the wearer's eye and a plan defined for the measurement of the monocular pupillary distance,
the distance between the cornea of the wearer's eye and the lens at the level of the fitting cross of the progressive addition lens when the wearer is wearing the lens in the given spectacle frame, and
the thickness of the progressive addition lens at the prism reference point, and
wherein the right inset (I r ) of a right progressive addition lens and/or the left inset (I l ) of a left progressive addition lens are determined by:
I
r
=
EP
r
-
Δ
S
1
+
W
r
CC
r
+
DVO
r
-
W
r
·
P
r
,
I
l
=
EP
l
+
Δ
S
1
+
W
l
CC
l
+
DVO
l
-
W
l
·
P
l
where
EP r and EP l are the monocular pupillary distance of right and left eyes of the wearer in far vision,
P r and P l are the average power in the near vision zone of the right and left progressive addition lens,
Δ
S
=
(
EP
l
+
EP
r
)
1
+
Δ
EP
r
Δ
EP
l
×
CC
l
+
DVO_MES
l
CC
r
+
DVO_MES
r
-
EP
l
W
r
=
(
EP
l
+
EP
r
)
Δ
EP
l
CC
l
+
DVO_MES
l
+
Δ
EP
r
CC
r
+
DVO_MES
r
-
CC
r
-
DVO
r
-
e
r
W
l
=
(
EP
l
+
EP
r
)
Δ
EP
l
CC
l
+
DVO_MES
l
+
Δ
EP
r
CC
r
+
DVO_MES
r
-
CC
l
-
DVO
l
-
e
l
,
with
ΔEP l and ΔEP r the monocular pupillary convergence of the left and right eyes,
CC l and CC r the distance between the center of rotation of the eye and the cornea for the left and right eyes,
DVO_MES l and DVO_MES r the distances between the cornea and the plan defined for the measurement of the monocular pupillary distances for the left and right eyes,
DVO l the distance between the cornea of the left eye and the progressive addition lens at the level of the fitting cross of the progressive addition lens when the wearer is wearing the left lens in the given spectacle frame,
DVO r the distance between the cornea of the right eye and the progressive addition lens at the level of the fitting cross of the progressive addition lens when the wearer is wearing the right lens in the given spectacle frame, and
e l and e r the thickness of the left and right progressive addition lens at the prism reference point.
12. The method according to claim 11 , wherein the inset of the lens is determined for a wearer's eye by having all the values of the parameters of the right and left side equal to the values of the parameters of the wearer's eye side, and as a consequence:
I
=
EP
1
+
W
CC
+
DVO
-
W
·
P
where
EP is the monocular pupillary distance of the wearer's eye in far vision,
P is the average power in the near vision zone of the progressive addition lens, and
W
=
EP
·
(
CC
+
DVO_MES
)
Δ
EP
-
CC
-
DVO
-
e
,
with
ΔEP the monocular pupillary convergence,
CC the distance between the centre of rotation and the cornea of the wearer's eye,
DVO_MES the distance between the cornea of the wearer's eye and the plan defined for the measurement of the monocular pupillary distance,
DVO the distance between the cornea of the wearer's eye and the progressive addition lens at the level of the fitting cross when the wearer is wearing the lens in the given spectacle frame, and
e the thickness of the progressive addition lens at the prism reference point.