Background technology
Ophthalmic progressive additional lens can meet simultaneously looks far away with look near demand, avoided again two light microscopics etc. look far away when looking nearly conversion the defect such as vision fracture.The application of ophthalmic progressive additional lens is day by day extensive at present.Referring to accompanying drawing 1, the ophthalmic progressive additional lens surface is divided into looks far field 1, gradual change passage (or claiming intermediate transition zone) 2, near reading range 3 and astigmatism district 4.Be positioned at the broad area of ophthalmic progressive additional lens the first half depending on far field, for observing thing far away, at human eye, in loosening under the state of looking squarely, correct and look ability far away, clear, the broad visual field is provided, scope is larger; Near reading range is positioned at looks approximately 10~18mm of circle of reference central lower far away, and for observing nearly thing, definition range is less; The gradual change passage is positioned to connect looks the transitional region of far field near reading range, for observing the moderate distance object, is also the principal character zone that progressive lenses is different from two light microscopics, generally narrower.Be referred to as the effective visible sensation district depending on far field, near reading range and gradual change passage; Other zone is the astigmatism district, because its astigmatism is larger, generally can not be used to observe.In figure, A is for looking the far field reference point, and B is the near reading range reference point, and particular location has corresponding difference because of progressive lenses type of service, method for designing, correct presbyopia degree, human eye interpupillary distance with by the difference of eye custom etc.Because the astigmatism on progressive lens is inevitable, on progressive lens, only have some regional astigmatism less, other regional astigmatisms are larger.How to take full advantage of the effective visible sensation district, the sight line that makes the progressive lens wearer through the regional astigmatism minimum of eyeglass and focal power most suitable be the problem that the progressive lens deviser must consider.
Prior art is generally design symmetry, as Chinese invention patent (document 1:CN101661167A) is focused on the expansion in effective visible sensation district and reducing of astigmatism, technical scheme comprises that establishing coordinate on eyeglass is: x axle positive dirction is straight down to the right for y axle level, z axle positive dirction is pointed to the reader perpendicular to paper, and described long measure is all mm.If A looks reference point far away on eyeglass, B looks nearly reference point on eyeglass.Radius-of-curvature depending on reference point A far away place is
, depending on the radius-of-curvature at nearly reference point B place, be
, meridian MM ' is upper apart from center O point apart from the radius-of-curvature at x place is
.The function that on meridian, focal power changes with the x value is
.If on meridian, each point curvature is formula (1) with x changes in coordinates function on eyeglass:
Wherein, L be A to the distance between center of lens point O, m is the A point
locate the minimum exponent number of first non-zero derivative, l is that above formula is at the B point
locate the minimum exponent number of first non-zero derivative, h is the vertical range that some A is ordered to B on meridian.Criterion that need be satisfied while being designed by meridian: looking far point A and looking near point B two places curvature variation slowly, occur that the exponent number of the higher derivative of first non-zero wants high,
change curve must be smooth.Require again at the A place
, at the B place
, can obtain system of equations formula (2):
Separate this system of equations and draw coefficient
thereby, draw along ophthalmic progressive additional lens meridian power variation curve
.
The personalized design method that asymmetric design is also arranged in prior art, but prior art does not all provide from looking the side-play amount computing method of far field to each point the whole gradual change passage of near reading range, on the gradual change passage position of each point with lens wear person's personal characteristics and eyeglass focal power without directly related property.
Summary of the invention
The object of the invention is to overcome the deficiency that prior art exists, on progressive lens symmetric design method basis, according to wearer's personal feature and vision physiological custom, provide that a kind of wearer of making more adapts to, the preparation method of comfortable personalized ophthalmic progressive additional lens.
Realize that technical scheme of the present invention is to provide a kind of preparation method of personalized ophthalmic progressive additional lens, designing requirement and lens parameters according to eyeglass to be processed, eyeglass radius R in the person's vision prescription that comprises the lens wear, obtain the initial rise of multifocal ophthalmic lens face type, and then initial rise is optimized to processing, comprise the steps:
(1) person's that measures the lens wear customized information: interpupillary distance PD, eyeglass to the eyeball rotation center apart from EGD, the inverse of the minimum distance that bore hole can be seen clearly is the focal power D that the bore hole near point is corresponding
0; Wherein, long measure is mm, and focal power unit is m
-1;
(2) by formula
calculate sight line from looking far field to the near reading range moving process, the intersection point of sight line and eyeglass is to the distance of the vertical center line of eyeglass; Wherein
for the function of each point focal power on middle meridian with the coordinate axis variation;
(3) with
=0, by formula
obtain the initial offset of eyeglass rise
;
(4) eyeglass radius R in wearer's vision prescription is expanded to
, the intersection point of sight line and eyeglass is to the distance skew left of the vertical center line of eyeglass
, calculate the rise after right eye is optimized with ophthalmic progressive additional lens;
Eyeglass radius R in wearer's vision prescription is expanded to
, the intersection point of sight line and eyeglass is to the distance skew to the right of the vertical center line of eyeglass
, calculate the rise after left eye is optimized with ophthalmic progressive additional lens;
(5) take R as the eyeglass radius, right eye is moved to the right with the rise center of lens after ophthalmic progressive additional lens optimization
, left eye moves to left with the rise center of lens after ophthalmic progressive additional lens optimization
, machining lens obtains personalized ophthalmic progressive additional lens after the numerically-controlled machine polishing respectively.
The eyeglass passage of the present invention's design is relevant with lens wear person's interpupillary distance, bridge of the nose height with the side-play amount of near reading range, more meets the personal touch.Can guarantee: at a certain sighting distance place, even the presbyopia degree difference of two of same persons, the side-play amount of passage is identical, and the inside anglec of rotation of eyes is identical, meets the physiologic habit of eyeball rotation simultaneously.Side-play amount is again the function of focal power, the focal power that the bore hole near point is corresponding is larger, it is less that needed eyeglass adds light quantity, the focal power that nearer object just needs eyeglass to provide only is provided, at this moment the angle to bias internal is larger for sight line, so the progressive passage starting point of eyeglass just more departs from the symmetrical center line of eyeglass.Otherwise, the focal power that the bore hole near point is corresponding is less, and it is larger that needed eyeglass adds light quantity, and the focal power that the moderate distance object just needs eyeglass to provide is provided, at this moment sight line is less to the angle of bias internal, so the progressive passage starting point of eyeglass is just the closer to the symmetrical center line of eyeglass.Can guarantee that like this focal power on the gradual change passage is exactly the required focal powers of different sighting distances.
The progressive addition lens sheet of the personalized method design proposed through the present invention is looked the basic preserved symmetry of far field optical power profile.The eyeglass that the Technical Design proposed by the present invention goes out is looked the far field astigmatism distribution and can be changed because of the position skew of eyeglass passage and near reading range hardly, has substantially kept looking the symmetry of far field astigmatism.
Ophthalmic progressive additional lens prepared by the technical scheme proposed by the present invention has following feature:
1, looking far field, gradual change passage starting point is offset according to the characteristics of personality such as presbyopia degree of eyeglass wearer, and the corresponding focal power of bore hole near point is larger, and it is far away that the progressive passage starting point of eyeglass departs from the symmetrical center line of eyeglass.Otherwise the focal power that the bore hole near point is corresponding is less, the progressive passage starting point of eyeglass, just the closer to the symmetrical center line of eyeglass, meets the vision physiological custom of human eye more.
2, the astigmatism caused due to the gradual change channel offset is less, the symmetry that has kept looking the far field astigmatism on largely.
3, the intersection point of the ophthalmic progressive additional lens of the present invention design person's that can not only make the lens wear sight line and the eyeglass zone very little by astigmatism on progressive multi-focus lens, and on the gradual change passage, the focal power of every bit equals the progressive multi-focus lens wearer and looks the required focal power of thing.Thereby can increase progressive multi-focus lens wearer's comfortable wearing degree.Progressive multi-focus lens with this feature is also more easily adapted to by the lens wear person.
Compared with prior art, the advantage of the ophthalmic progressive additional lens of the present invention design is: when the wearer of progressive lens sees thing far away, sight line is larger in scope looks far field and can move freely; While seeing nearly thing, sight line starts to the nasal side skew, and the intersection point of sight line and eyeglass is the very little channel center of astigmatism on progressive lens just.The remarkable advantage of the ophthalmic progressive additional lens of the present invention's design is that sight line all is complementary with the required focal power of correcting defects of vision by the focal power of the every bit on the gradual change passage of eyeglass.Thereby can increase progressive lens wearer's comfortable wearing degree, the progressive lens with this feature is more easily adapted to by the progressive lens wearer.
The accompanying drawing explanation
The zones of different schematic diagram that Fig. 1 is ophthalmic progressive additional lens;
In figure, 1, look far field; 2, gradual change passage (intermediate transition zone); 3, near reading range; 4, astigmatism district;
Fig. 2 is that the ophthalmic progressive additional lens wearer looks thing far away and sight line skew schematic diagram while looking nearly thing;
The meridian optical power profile figure that Fig. 3 is the ophthalmic progressive additional lens that obtains by prior art (document 1);
Fig. 4 be in the embodiment of the present invention eyeglass rise side-play amount with the change curve (unit is mm) of y axle;
Fig. 5 is the focal power line drawing of the ophthalmic progressive additional lens with symmetry structure by the disclosed Technical Design of prior art (document 1);
Fig. 6 is the astigmatism line drawing of the ophthalmic progressive additional lens with symmetry structure by the disclosed Technical Design of prior art (document 1);
Fig. 7 is the focal power line drawing that luminosity is the personalized ophthalmic progressive additional lens of 2.0D that adds designed in the embodiment of the present invention 1;
Fig. 8 is the astigmatism line drawing that luminosity is the personalized ophthalmic progressive additional lens of 2.0D that adds designed in the embodiment of the present invention 1;
Fig. 9 is the focal power line drawing that luminosity is the personalized ophthalmic progressive additional lens of 1.0D that adds designed in the embodiment of the present invention 2;
Figure 10 is the astigmatism line drawing that luminosity is the personalized ophthalmic progressive additional lens of 1.0D that adds designed in the embodiment of the present invention 2;
Figure 11 is the focal power line drawing that luminosity is the personalized ophthalmic progressive additional lens of 1.5D that adds designed in the embodiment of the present invention 3;
Figure 12 is the astigmatism line drawing that luminosity is the personalized ophthalmic progressive additional lens of 1.5D that adds designed in the embodiment of the present invention 3;
Figure 13 is the focal power line drawing that luminosity is the personalized ophthalmic progressive additional lens of 3.0D that adds designed in the embodiment of the present invention 4;
Figure 14 is the astigmatism line drawing that luminosity is the personalized ophthalmic progressive additional lens of 3.0D that adds designed in the embodiment of the present invention 4;
The luminosity that adds that Figure 15 is design in the embodiment of the present invention 5 is 2.0D, the focal power line drawing of the personalized ophthalmic progressive additional lens that interpupillary distance is 58mm;
The luminosity that adds that Figure 16 is design in the embodiment of the present invention 5 is 2.0D, the astigmatism line drawing of the personalized ophthalmic progressive additional lens that interpupillary distance is 58mm;
The luminosity that adds that Figure 17 is design in the embodiment of the present invention 6 is 2.0D, the focal power line drawing of the personalized ophthalmic progressive additional lens that interpupillary distance is 66mm;
The luminosity that adds that Figure 18 is design in the embodiment of the present invention 6 is 2.0D, the astigmatism line drawing of the personalized ophthalmic progressive additional lens that interpupillary distance is 66mm.
Embodiment
Below in conjunction with drawings and Examples, technical solution of the present invention is further described.
Embodiment 1
In the present embodiment, the person's that measures the lens wear customized information: interpupillary distance PD=60mm, according to wearing custom, lens to the eyeball rotation center apart from EGD=20mm, the eyes anomalistic distance is 400mm, corresponding near point focal power D
0=2.5D, if see the object (corresponding focal power is 4.5D) at 222mm place clearly, should wear and add the progressive multi-focus lens that light quantity is 2D.On the required eyeglass of this patient, depending on far point B place eyeglass focal power, be 0D, eyeglass gradual change passage length h=17 mm.Eyeglass radius R=the 36mm of eyeglass to be processed, refractive index 1.523.
The preparation of eyeglass comprises the steps:
Step 1, according to the disclosed technical scheme of prior art (document 1:CN101661167A), on eyeglass, coordinate is: y axle level to the right x axle positive dirction straight down, z axle positive dirction is pointed to the reader perpendicular to paper.Described long measure is all mm.If A looks reference point far away on eyeglass, B looks nearly reference point on eyeglass.Radius-of-curvature depending on reference point A far away place is
, depending on the radius-of-curvature at nearly reference point B place, be
, meridian MM ' is upper apart from center O point apart from the radius-of-curvature at x place is
.The function that on meridian, focal power changes with the x value is
.If on meridian, each point curvature is formula (1) with x changes in coordinates function on eyeglass:
Wherein, L be A to the distance between center of lens point O, m is the A point
locate the minimum exponent number of first non-zero derivative, l is that above formula is at the B point
locate the minimum exponent number of first non-zero derivative, h is the vertical range that some A is ordered to B on meridian.Criterion that need be satisfied while being designed by meridian: looking far point A and looking near point B two places curvature variation slowly, occur that the exponent number of the higher derivative of first non-zero wants high,
change curve must be smooth.Require again at the A place
, at the B place
, can obtain system of equations formula (2):
Separate this system of equations and draw coefficient
thereby, draw along ophthalmic progressive additional lens meridian power variation curve
.
Step 2, the person's that measures the lens wear customized information (as shown in Figure 2): interpupillary distance PD, eyeglass to the eyeball rotation center apart from EGD, the inverse of the minimum distance that bore hole can be seen clearly is the focal power D that the bore hole near point is corresponding
0, focal power unit is diopter (m
-1); By formula (3)
Obtain the distance of the intersection point of sight line and eyeglass to the vertical center line of eyeglass.
along with the vertical coordinate x of eyeglass changes and changes.
Step 3, for all x, make f (x)=0 obtain the overall offset amount of eyeglass rise
formula (4):
If it is R that prescription requires the radius of eyeglass, R is expanded to
, in the subsequent calculations process all with
radius as eyeglass.
Step 4, if always exist a face of cylinder and meridian to intersect by eyeglass progressive surface arbitrfary point (x, y), intersection point x coordinate figure is u, and is constantly equal to u along the value of the intersection of cylinder and coordinate surface xoy, establishing this function is formula (5):
And meet the following condition in border: at A point place, formula (6-a):
At B point place, formula (6-b):
At infinity, formula (6-c):
Solution formula (7) equation:
Obtain:
, when
up-to-date style (8-a);
, when
up-to-date style (8-b);
, when
up-to-date style (8-c);
Wherein
;
.(p in formula is the d in prior art document 1);
Step 5, for the right eye progressive multi-focus lens, become the y in above formula (8) (comprising 8-a~8-c)
, the g in formula is revised as:
Step 6, the radius-of-curvature of establishing each some place on meridian is r (u), the center of curvature is
.
Obtain formula (10) by basic geometric knowledge:
The corresponding sphere of each u, the enveloping surface of these a series of spheres is exactly the progressive surface of progressive additional lens.Can be expressed as formula (11):
Step 7, become the y in above formula (11)
, be about to formula (11) and become formula (12):
, calculate the rise of revised eyeglass.
Step 8, for the left eye progressive multi-focus lens, become the y in (8) formula
, the g in (8) formula is revised as:
And the y in formula (11) is become
, be about to (11) and become:
, obtain formula (14), calculate revised eyeglass rise.
Step 9, move to center of lens to the right
, and the eyeglass radius is reduced to R, the machine tooling of input numerical-control milling and grinding, with making the right eye progressive multi-focus lens after the numerically-controlled machine polishing.
Center of lens is moved to left
, and the eyeglass radius is reduced to R, the machine tooling of input numerical-control milling and grinding, with making the left eye progressive multi-focus lens after the numerically-controlled machine polishing.
In above-mentioned steps, step 5,7,8,9 is the eyeglass data-bias method for the technical scheme (document 1) of existing symmetric design.For different symmetric design methods, in different ways bias step is dissolved in the lens design process flexibly.
Referring to accompanying drawing 3, it is meridian focal power f (x) distribution plan of the ophthalmic progressive additional lens that obtains by prior art (document 1) technical scheme; The unit of x axle is mm, and focal power unit is diopter (m
-1).
Accompanying drawing 4 obtains the variation diagram (unit be mm) of the eyeglass side-play amount d of progressive lens with the x axle for the step 1 in the technical scheme proposed according to the present invention~3.Comparison diagram 3 and Fig. 4 can find out, eyeglass rise side-play amount and optical power profile that the present embodiment technical scheme provides are almost linear dependence, can find out that eyeglass rise side-play amount changes slowly and level and smooth.
Accompanying drawing 5 is for pressing the disclosed technical scheme of prior art (document 1), the focal power line drawing of the ophthalmic progressive additional lens with symmetry structure of design; Accompanying drawing 6 is the astigmatism line drawing of the ophthalmic progressive additional lens with symmetry structure by document 1 disclosed Technical Design;
The focal power line drawing that accompanying drawing 7 is the personalized ophthalmic progressive additional lens that designs in the embodiment of the present invention; (focal power unit is diopter to the track that in figure, the point-like track is sight line and progressive lens intersection point, and long measure is mm
-1).The astigmatism line drawing that accompanying drawing 8 is the personalized ophthalmic progressive additional lens that designs in the embodiment of the present invention.The track that in figure, the point-like track is sight line and progressive lens intersection point (astigmatism unit is diopter D).As can be seen from the figure: still keep basic symmetry looking the far field astigmatism, in the starting point of looking the progressive passage in far field, be not positioned at the vertical symmetrical center line of eyeglass, but skew to some extent.When focal power that the progressive lens wearer needs eyeglass to provide, be to watch closer objects attentively, sight line is skew to some extent, thus this arrangement more meet the people look the thing custom.Comparative drawings figs 5 can be found out with accompanying drawing 7, passes through the progressive addition lens sheet of the personalized method design of the present invention's proposition and looks still preserved symmetry of far field optical power profile.Comparison diagram 6 is known with the result of Fig. 8, and the eyeglass gone out by the present embodiment Technical Design is looked the far field astigmatism distribution and can not changed because of the position skew of eyeglass passage and near reading range, has kept looking the symmetry of far field astigmatism.
Referring to accompanying drawing 8, looking far field, because power variation is very little, astigmatism is also very little, and when this patient looks thing, required focal power is mainly regulated by lens, therefore sight line is to look far field unrestricted.When he sees near thing gradually, sight line is offset to nasal side, just in time drops on the gradual change passage of above-mentioned design the character be complementary according to side-play amount and the focal power of gradual change passage, the patient is easy to find on passage the size of focal power and the side-play amount of sight line on certain ,Gai position, position to be complementary.While seeing nearly thing, sight line is that the channel center of astigmatism minimum on the gradual change passage and the focal power of this place's progressive lens are exactly required focal power by the position on eyeglass.The position of the near reading range of eyeglass is also that while seeing nearly thing, sight line and the crossing zone of eyeglass and focal power are also required focal powers.
Embodiment 2
In the present embodiment, the person's that measures the lens wear customized information is with embodiment 1.But the corresponding focal power D of bore hole near point
0=3.5D, if see the object (corresponding focal power is 4.5D) at 222mm place clearly, should wear and add the gradual change mirror that light quantity is 1D.The eyeglass further feature is identical with embodiment 1.
Press embodiment 1 technical scheme, obtain respectively the images of left and right eyes progressive multi-focus lens.
Focal power isogram and the astigmatism isogram of the ophthalmic progressive additional lens that accompanying drawing 9 and accompanying drawing 10 design for the present embodiment.
Embodiment 3
In the present embodiment, the person's that measures the lens wear customized information is with embodiment 1.But the corresponding focal power of bore hole near point is D
0=3.0D, if see the object (corresponding focal power is 4.5D) at 222mm place clearly, should wear and add the gradual change mirror that light quantity is 1.5D.The eyeglass further feature is identical with embodiment 1.
Press embodiment 1 technical scheme, obtain respectively the images of left and right eyes progressive multi-focus lens.
Focal power isogram and the astigmatism isogram of the ophthalmic progressive additional lens that accompanying drawing 11 and accompanying drawing 12 design for the present embodiment.
Embodiment: 4
In the present embodiment, the person's that measures the lens wear customized information is with embodiment 1.But the corresponding focal power of bore hole near point is D
0=1.5D, if see the object (corresponding focal power is 4.5D) at 222mm place clearly, should wear and add the gradual change mirror that light quantity is 3D.The eyeglass further feature is identical with embodiment 1.
Press embodiment 1 technical scheme, obtain respectively the images of left and right eyes progressive multi-focus lens.
Focal power isogram and the astigmatism isogram of the ophthalmic progressive additional lens that accompanying drawing 15 and accompanying drawing 16 design for the present embodiment.
Embodiment: 5
In the present embodiment, the interpupillary distance that measures the presbyopia patient is 58mm, and other customized information of lens wear person is with embodiment 1.The eyeglass further feature is identical with embodiment 1.
Press embodiment 1 technical scheme, obtain respectively the images of left and right eyes progressive multi-focus lens.
Focal power isogram and the astigmatism isogram of the ophthalmic progressive additional lens that accompanying drawing 15 and accompanying drawing 16 design for the present embodiment.
Embodiment: 6
In the present embodiment, the interpupillary distance that measures the presbyopia patient is 66mm, and other customized information of lens wear person is with embodiment 1.The eyeglass further feature is identical with embodiment 1.
Press embodiment 1 technical scheme, obtain respectively the images of left and right eyes progressive multi-focus lens.
Focal power isogram and the astigmatism isogram of the ophthalmic progressive additional lens that accompanying drawing 17 and accompanying drawing 18 design for the present embodiment.
In focal power from embodiment 1~6 and astigmatism isogram, can find out: looking far field, the basic preserved symmetry of progressive addition lens sheet optical power profile of the personalized method design proposed with the present invention.The eyeglass of the Technical Design proposed by the present invention is looked the far field astigmatism distribution because the change that the position skew of eyeglass passage and near reading range causes is less, the symmetry that has substantially kept looking the far field astigmatism.
In focal power from embodiment 1~6 and astigmatism isogram, it can also be seen that: bore hole near point focal power is larger, it is less that needed eyeglass adds light quantity, the focal power that nearer object just needs eyeglass to provide only is provided, at this moment the angle to bias internal is larger for sight line, so the progressive passage starting point of eyeglass just more departs from the symmetrical center line of eyeglass.Otherwise bore hole near point focal power is less, it is larger that needed eyeglass adds light quantity, and the focal power that just needs eyeglass to provide apart from object is provided, and at this moment sight line is less to the angle of bias internal, so the progressive passage starting point of eyeglass is just the closer to the symmetrical center line of eyeglass.
From embodiment 5 and embodiment 6, can find out: for the individuality of different interpupillary distances, the progressive multi-focus lens channel position of designing is also corresponding to be changed to some extent.Be personal feature and the different all progressive multi-focus lens of corresponding corresponding characteristics of custom of wearing that the lens wearer is different.