TWI584022B - Progressive multifocal contact lens and producing method thereof - Google Patents
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Description
本發明係關於一種透鏡及其方法,特別是關於一種漸近變焦隱形眼鏡及其製造方法。 The present invention relates to a lens and method thereof, and more particularly to an asymptotic zoom contact lens and a method of fabricating the same.
隱形眼鏡廣泛用於校正許多不同類型之視力缺陷,包括近視及遠視、散光視力誤差、以及通常與老化相關聯的近距離視力缺陷如老花眼視力退化等。老花眼者通常使用隱形眼鏡矯正老花視力的缺陷,例如同步雙焦隱形眼鏡或是變焦隱形眼鏡提供同心的光學區域如遠視屈光力(較遠物體)以及近視屈光力(較近物體),以聚焦瞳孔的可視範圍,因為來自較遠物體以及較近物體的光線同時聚焦於視網膜上,使用者的大腦判斷並且選擇較遠的影像或是較近的影像。 Contact lenses are widely used to correct many different types of visual impairments, including myopia and hyperopia, astigmatic vision errors, and near vision defects commonly associated with aging such as presbyopia vision degradation. Presbyopic lenses often use contact lenses to correct defects in presbyopia, such as synchronized bifocal contact lenses or zoom contact lenses to provide concentric optical areas such as far vision power (farther objects) and myopic power (near objects) to focus pupils. Visible range, because light from farther objects and near objects is simultaneously focused on the retina, and the user's brain judges and selects farther images or closer images.
然而,由於同步雙焦隱形眼鏡或是變焦隱形眼鏡包括多圈的同心區域,即,遠視區域以及近視區域,造成從光學區域的中心至周邊區域的屈光力分佈係為離散(discrete)狀態,而且每一圈的同心區域之寬度以及圈數必須依據使用者的瞳孔值不同做不同的設計,使得屈光力分佈的離散狀態更為明顯,降低了使用者的視覺品質。在一些習知技術中,遠視屈光度之區域以及近視屈光度之區域之間的連接介面不夠平滑,導致隱形眼鏡 在這些光學區域對使用者觀看影像時產生干擾。進一步地,在連接介面之表面所對應的屈光度之過渡(transition)區域形成不連續性(discontinuity),造成重疊影像,影響使用者穿戴的舒適度。 However, since the synchronous bifocal contact lens or the zoom contact lens includes a plurality of concentric regions, that is, a far vision region and a near vision region, the refractive power distribution from the center of the optical region to the peripheral region is a discrete state, and each The width of the concentric area of one circle and the number of turns must be designed differently according to the user's pupil value, so that the discrete state of the refractive power distribution is more obvious, which reduces the visual quality of the user. In some conventional techniques, the interface between the area of hyperopic diopter and the area of myopic diopter is not smooth enough to cause contact lenses. Interference occurs when the user views the image in these optical areas. Further, a transition region of the diopter corresponding to the surface of the connection interface forms a discontinuity, causing overlapping images to affect the comfort of the user.
在另一些習知技術中,為了解決不連續性的問題,其於中心光學區域使用多種圓錐形曲線之組合,但是這種方式需要在連接點位置使用高階的幾何線條,相當複雜,而且不易改善隱形眼鏡中心光學區域與屈光度之不連續的問題。因此需要提出一種新式的透鏡及其方法,以解決上述之問題。 In other conventional techniques, in order to solve the problem of discontinuity, a combination of a plurality of conical curves is used in the central optical region, but this method requires the use of high-order geometric lines at the joint point, which is quite complicated and is not easy to improve. The problem of discontinuity in the optical area of the contact lens and the diopter. Therefore, it is necessary to propose a new type of lens and a method thereof to solve the above problems.
本發明之一目的在於提供一種漸近變焦隱形眼鏡及其製造方法,藉由前側光學表面形成連續性的非均勻有理化塑形曲線(non-uniform rational B-spline,NURBS)之輪廓以及配置漸近(progressive)變化的屈光度,以改善使用者的視力,並且提高隱形眼鏡的設計彈性。 It is an object of the present invention to provide an asymptotic zoom contact lens and a method of fabricating the same that form a continuous non-uniform rational B-spline (NURBS) profile and asymptotic configuration by a front optical surface ( Progressive) The varying diopter to improve the user's vision and improve the design flexibility of the contact lens.
為達成上述目的,本發明之一實施例中漸近變焦隱形眼鏡包括:一光軸;一具有第一光學區域之前側表面,以所述光軸作為所述第一光學區域的中心,所述第一光學區域包括在所述光軸附近的中心區域、環形區域、以及連接於所述中心區域與所述環形區域之間的中間區域,其中所述中心區域以及所述環形區域係分別設置為不同的屈光度包括遠視屈光度與近視屈光度,並且所述中間區域用以漸近調整所述遠視屈光度與所述近視屈光度的光功率,使所述前側表面的所述第一光學區域在所述遠視屈光度與所述近視屈光度之間的屈光度形成連續性常態分佈;以及一具有第二光學區域之後側表面,以所述光軸作為所述第二光學區域的中心,所述 後側表面依據所述光軸與所述前側表面相對異側設置,其中所述前側表面的邊緣與所述後側表面的邊緣互相連接。 To achieve the above object, an asymptotic zoom contact lens according to an embodiment of the present invention includes: an optical axis; a front side surface having a first optical area, wherein the optical axis is a center of the first optical area, the An optical region includes a central region near the optical axis, an annular region, and an intermediate region connected between the central region and the annular region, wherein the central region and the annular region are respectively set to be different The diopter includes a far vision diopter and a myopic diopter, and the intermediate region is used to asymptotically adjust the optical power of the far vision diopter and the near vision diopter, such that the first optical region of the front side surface is at the far vision diopter and The dioptric power between the myopic diopter forms a continuous normal distribution; and a side surface having a second optical region with the optical axis as the center of the second optical region, The rear side surface is disposed opposite to the front side surface in accordance with the optical axis, wherein an edge of the front side surface and an edge of the rear side surface are interconnected.
在一實施例中,所述前側表面還包括一週邊區域,連接於所述環形區域的外圍邊緣,並且所述週邊區域係為球面區域或是非球面區域任一者。 In an embodiment, the front side surface further includes a peripheral area connected to a peripheral edge of the annular area, and the peripheral area is either a spherical area or an aspherical area.
在一實施例中,所述屈光度以下列公式表示: ,其中,平均數 μ=xc+(Wim/2),標準差σ=Wim/6;Add為附加屈光度之係數;x為從光軸沿著第一光學區域的半徑;Pc為中心區域的近視屈光度或是遠視屈光度;xc為中心區域的半徑;Wim為中間區域的寬度;t為長度之積分變數;以及在"±"符號中,"+"表示中心區域為遠視屈光度,"-"表示中心區域為近視屈光度。 In an embodiment, the diopter is expressed by the following formula: , wherein the mean μ = xc + (Wim / 2), the standard deviation σ = Wim / 6; Add is the coefficient of the additional diopter; x is the radius from the optical axis along the first optical region; Pc is the myopic diopter of the central region Or far vision diopter; xc is the radius of the central region; Wim is the width of the middle region; t is the integral variable of the length; and in the "±" symbol, "+" indicates that the central region is the far vision diopter, and "-" indicates the central region. For myopic diopter.
在一實施例中,所述中心區域的半徑xc大於或是等於零公厘,並且xc小於1公厘,所述中間區域的寬度Wim大於零公厘,並且Wim小於或是等於3公厘。 In one embodiment, the central region has a radius xc greater than or equal to zero mm and xc is less than 1 mm, the intermediate region has a width Wim greater than zero mm, and Wim is less than or equal to 3 mm.
在一實施例中,所述中心區域設置為遠視屈光度且所述環形區域係設置為近視屈光度,或是所述中心區域設置為近視屈光度且所述環 形區域係設置為遠視屈光度。 In an embodiment, the central region is set to a far vision diopter and the annular region is set to myopic diopter, or the central region is set to myopic diopter and the ring The shaped area is set to the far vision diopter.
在一實施例中,所述中心區域的半徑、所述中間區域的寬度以及所述第一光學區域之附加屈光度用以調整所述第一光學區域之屈光度的連續性常態分佈。 In one embodiment, the radius of the central region, the width of the intermediate region, and the additional diopter of the first optical region are used to adjust a continuous normal distribution of diopter of the first optical region.
在一實施例中,所述第一光學區域的所述中心區域、所述環形區域以及所述中間區域係由非均勻有理化塑形曲線(NURBS)所組成的連續性表面。 In an embodiment, the central region, the annular region, and the intermediate region of the first optical region are continuous surfaces composed of a non-uniform rationalized shaping curve (NURBS).
在一實施例中,所述非均勻有理化塑形曲線(NURBS)以下列公式表示: ,其中階數p係由以下定義:控制點P0, P1,...,Ph,節點向量U,以及權重值w0,w1,...,wh。 In an embodiment, the non-uniform rationalized shaping curve (NURBS) is represented by the following formula: , where the order p is defined by: control points P0, P1, ..., Ph, node vector U, and weight values w0, w1, ..., wh.
在一實施例中,所述第一光學區域的所述中心區域與所述中間區域的每個連接點具有相同的斜率值,並且所述中間區域與所述環形區域的每個連接點具有相同的斜率值。 In an embodiment, the central region of the first optical region has the same slope value as each connection point of the intermediate region, and the intermediate region has the same connection point with each connection point of the annular region The slope value.
本發明之另一實施例中漸近變焦隱形眼鏡的製造方法包括:提供一光軸於一本體;形成一具有第一光學區域之前側表面,以所述光軸作為所述第一光學區域的中心,所述第一光學區域包括在所述光軸附近的中心區域、環形區域、以及連接於所述中心區域與所述環形區域之間的中間區域,其中所述中心區域以及所述環形區域係分別設置為不同的屈光度包括遠視屈光度與近視屈光度;調整所述中間區域用以漸近調整所述 遠視屈光度與所述近視屈光度的光功率,使所述前側表面的所述第一光學區域在所述遠視屈光度與所述近視屈光度之間的屈光度形成連續性常態分佈;以及形成一具有第二光學區域之後側表面,以所述光軸作為所述第二光學區域的中心,所述後側表面依據所述光軸與所述前側表面相對異側設置,其中所述前側表面的邊緣與所述後側表面的邊緣互相連接。 A method of fabricating an asymptotic zoom contact lens according to another embodiment of the present invention includes: providing an optical axis to a body; forming a front side surface having a first optical region, wherein the optical axis serves as a center of the first optical region The first optical region includes a central region near the optical axis, an annular region, and an intermediate region connected between the central region and the annular region, wherein the central region and the annular region are Set to different diopters respectively including far vision diopter and myopic diopter; adjusting the intermediate region for asymptotic adjustment The power of the far vision diopter and the myopic diopter, such that the first optical region of the front side surface forms a continuous normal distribution of diopter between the distance vision diopter and the near vision diopter; and forms a second optical a rear side surface of the region, the optical axis being the center of the second optical region, the rear side surface being disposed opposite to the front side surface according to the optical axis, wherein an edge of the front side surface is The edges of the rear side surfaces are connected to each other.
100‧‧‧本體 100‧‧‧ body
102‧‧‧光軸 102‧‧‧ optical axis
104‧‧‧前側表面 104‧‧‧ front side surface
104a、106a‧‧‧邊緣 104a, 106a‧‧‧ edge
106‧‧‧後側表面 106‧‧‧Back surface
108‧‧‧第一光學區域 108‧‧‧First optical zone
110‧‧‧中心區域 110‧‧‧Central area
112‧‧‧環形區域 112‧‧‧ring area
114‧‧‧中間區域 114‧‧‧Intermediate area
115‧‧‧週邊區域 115‧‧‧ surrounding area
116‧‧‧第二光學區域 116‧‧‧Second optical zone
Add‧‧‧附加屈光度之係數 Add‧‧‧Additional diopter coefficient
x‧‧‧第一光學區域半徑 X‧‧‧first optical area radius
xc‧‧‧中心區域半徑 Xc‧‧‧ center area radius
Wim‧‧‧中間區域寬度 Wim‧‧ mid-zone width
μ‧‧‧平均數 ‧‧‧‧ average
σ‧‧‧標準差 Σ‧‧ standard deviation
t‧‧‧積分變數 T‧‧‧ integral variable
P(x)‧‧‧屈光度曲線 P(x)‧‧‧ diopter curve
Pc‧‧‧屈光度 Pc‧‧ diopter
E1、E1a、E1b‧‧‧公式 E1, E1a, E1b‧‧‧ formula
E2、E21、E22、E23、E24‧‧‧公式 E2, E21, E22, E23, E24‧‧ formula
P0、P1、...、Ph‧‧‧控制點 P0, P1, ..., Ph‧‧‧ control points
w0、w1、...、wh‧‧‧權重值 W0, w1, ..., wh‧‧ ‧ weight value
p‧‧‧階數 P‧‧‧ order
U‧‧‧節點向量 U‧‧‧ node vector
C(u)‧‧‧均勻有理化塑形曲線 C(u)‧‧‧ Uniform rationalized shaping curve
C11~C15、C21~C26、C31~C36‧‧‧各種屈光度曲線 C11~C15, C21~C26, C31~C36‧‧‧Various diopter curves
k‧‧‧曲率 K‧‧‧curvature
R‧‧‧曲率半徑 R‧‧‧ radius of curvature
S900、S902、S904、S906、S908、S910‧‧‧步驟 S900, S902, S904, S906, S908, S910‧‧ steps
為了更清楚地說明本發明實施例中的技術方案,下面將對實施例描述中所需要使用的附圖作簡單地介紹:圖1繪示本發明實施例中漸近變焦隱形眼鏡的上視圖。 In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the drawings used in the description of the embodiments will be briefly described. FIG. 1 is a top view of an asymptotic zoom contact lens in an embodiment of the present invention.
圖2繪示本發明實施例中漸近變焦隱形眼鏡沿著圖1的A-A'線段之剖視圖。 2 is a cross-sectional view of the asymptotic zoom contact lens taken along line AA' of FIG. 1 in the embodiment of the present invention.
圖3繪示本發明實施例中漸近變焦隱形眼鏡的屈光度曲線之示意圖。 3 is a schematic diagram showing the diopter curve of the asymptotic zoom contact lens in the embodiment of the present invention.
圖4繪示本發明實施例中中心區域具有不同直徑且設置為近視屈光度的附加屈光度曲線之示意圖。 4 is a schematic diagram showing an additional diopter curve of a central region having different diameters and set to myopic diopter in an embodiment of the present invention.
圖5繪示本發明實施例中環形區域具有不同寬度且中心區域設置為近視屈光度的附加屈光度曲線之示意圖。 FIG. 5 is a schematic diagram showing an additional diopter curve in which the annular regions have different widths and the central region is set to myopic diopter in the embodiment of the present invention.
圖6繪示本發明實施例中環形區域具有不同寬度且中心區域設置為遠視屈光度的附加屈光度曲線之示意圖。 6 is a schematic diagram showing an additional diopter curve in which the annular regions have different widths and the central region is set to the far vision diopter in the embodiment of the present invention.
圖7繪示本發明實施例中漸近變焦隱形眼鏡的非均勻有理化塑形曲線(NURBS)之示意圖。 7 is a schematic diagram showing a non-uniform rationalized shaping curve (NURBS) of an asymptotic zoom contact lens in an embodiment of the present invention.
圖8A-8B繪示本發明實施例中漸近變焦隱形眼鏡的第一光學區域的非 均勻有理化塑形曲線(NURBS)及其相對應的附加屈光度曲線之示意圖。 8A-8B illustrate a non-first optical region of an asymptotic zoom contact lens in accordance with an embodiment of the present invention. A schematic diagram of a uniform rationalized shape curve (NURBS) and its corresponding additional diopter curve.
圖9繪示本發明實施例中漸近變焦隱形眼鏡的製造方法之流程圖。 FIG. 9 is a flow chart showing a method of manufacturing an asymptotic zoom contact lens according to an embodiment of the present invention.
請參照圖式,其中相同的元件符號代表相同的元件或是相似的元件,本發明的原理是以實施在適當的運算環境中來舉例說明。以下的說明是基於所例示的本發明具體實施例,其不應被視為限制本發明未在此詳述的其它具體實施例。 Referring to the drawings, wherein like reference numerals refer to the same or the The following description is based on the specific embodiments of the invention, which are not to be construed as limiting the invention.
參考圖1以及圖2,圖1繪示本發明實施例中漸近變焦隱形眼鏡的上視圖,圖2繪示本發明實施例中漸近變焦隱形眼鏡沿著圖1的A-A'線段之剖視圖。如圖1以及圖2所示,所述漸近變焦隱形眼鏡包括本體100、光軸102、前側表面104以及後側表面106,光軸102通過本體100、光軸102、前側表面104以及後側表面106,並且光軸102定義為漸近變焦隱形眼鏡的中心軸線,可為軸對稱或是非軸對稱,如圖2所示之軸對稱狀態。所述前側表面104以及後側表面106分別設置於本體100的相對異側表面並且在本體100的周圍邊緣互相連接,即,在所述前側表面104的邊緣104a與所述後側表面106的邊緣106a互相連接。 1 and FIG. 2, FIG. 1 is a top view of an asymptotic zoom contact lens in accordance with an embodiment of the present invention, and FIG. 2 is a cross-sectional view of the asymptotic zoom contact lens taken along line AA' of FIG. 1 in the embodiment of the present invention. As shown in FIGS. 1 and 2, the asymptotic zoom contact lens includes a body 100, an optical axis 102, a front side surface 104, and a rear side surface 106. The optical axis 102 passes through the body 100, the optical axis 102, the front side surface 104, and the rear side surface. 106, and the optical axis 102 is defined as the central axis of the asymptotic zoom contact lens, which may be axisymmetric or non-axisymmetric, as shown in the axisymmetric state of FIG. The front side surface 104 and the rear side surface 106 are respectively disposed on opposite side surfaces of the body 100 and are interconnected at a peripheral edge of the body 100, that is, at an edge 104a of the front side surface 104 and an edge of the rear side surface 106. 106a is connected to each other.
在圖1以及圖2中,前側表面104具有第一光學區域108,依據所述光軸102作為中心,所述第一光學區域108包括中心區域110、環形區域112、以及連接於所述中心區域110與所述環形區域112之間的中間區域114,其中所述中心區域110以及所述環形區域112係設置為遠視屈光度(distance vision power)與近視屈光度(near vision power),並且所述中間區域114用以漸近調整所述遠視屈光度與所述近視屈光度的光功率,使所述前側表面104的 所述第一光學區域108之屈光度形成連續性常態分佈(normal cumulative distribution)。在一實施例中,所述中心區域110設置為遠視屈光度且所述環形區域112係設置為近視屈光度,或是所述中心區域110設置為近視屈光度且所述環形區域112係設置為遠視屈光度。在一實施例中,所述前側表面104的第一光學區域108沿著光軸102相對應於使用者的瞳孔(未圖示)。所述前側表面104還包括一週邊區域115,連接於所述環形區域112的外圍,並且所述週邊區域115係為球面區域或是非球面區域。 In FIGS. 1 and 2, the front side surface 104 has a first optical region 108, the first optical region 108 including a central region 110, an annular region 112, and a central region in accordance with the optical axis 102 as a center. An intermediate region 114 between the 110 and the annular region 112, wherein the central region 110 and the annular region 112 are set to a distance vision power and a near vision power, and the intermediate region 114 for asymptotically adjusting the optical power of the far vision diopter and the myopic diopter to make the front side surface 104 The diopter of the first optical region 108 forms a normal cumulative distribution. In an embodiment, the central region 110 is set to a far vision diopter and the annular region 112 is set to myopic diopter, or the central region 110 is set to myopic diopter and the annular region 112 is set to a far vision diopter. In one embodiment, the first optical region 108 of the front side surface 104 corresponds to the user's bore (not shown) along the optical axis 102. The front side surface 104 further includes a peripheral region 115 connected to the periphery of the annular region 112, and the peripheral region 115 is a spherical region or an aspherical region.
如圖1以及圖2所示,後側表面106具有第二光學區域116,所述側表面106依據所述光軸102與所述前側表面104相對異側設置。在一實施例中,後側表面106以及第二光學區域116例如是球形(spherical)表面或是非球形(aspheric)表面。在一實施例中,所述後側表面106的第二光學區域116沿著光軸102接觸於使用者的瞳孔(未圖示)。 As shown in FIGS. 1 and 2, the rear side surface 106 has a second optical region 116 that is disposed on opposite sides of the front side surface 104 in accordance with the optical axis 102. In an embodiment, the back side surface 106 and the second optical region 116 are, for example, spherical or aspherical surfaces. In one embodiment, the second optical region 116 of the back side surface 106 contacts the user's bore (not shown) along the optical axis 102.
參考圖3,其繪示本發明實施例中漸近變焦隱形眼鏡的屈光度曲線之示意圖。橫軸係為從光軸102(半徑等於零之位置)沿著第一光學區域的半徑,以x表示,其單位例如是公厘(mm),縱軸表示附加屈光度(add power),其單位為D(diopters),本發明之屈光度定義為隱形眼鏡的焦距之倒數。如圖3所示,本發明之屈光度P(x)以下列公式表示: ,其中,平均數 μ=xc+(Wim/2),標準差σ=Wim/6,”/”表示除法之符號;Add為附加屈光度之係數,係以圖3的最大值(max)與最小值(min)之間的差值計算,例如是-0.5-(-3.0)=2.5D; x為從光軸102沿著第一光學區域108任意位置的半徑;Pc為中心區域110的近視屈光度或是遠視屈光度;xc為中心區域110的半徑;Wim為中間區域114的寬度;t為長度之積分變數;以及在一實施例中,"±"符號中之"+"表示中心區域110為遠視屈光度,"-"表示中心區域110為近視屈光度。 Referring to FIG. 3, a schematic diagram of a diopter curve of an asymptotic zoom contact lens in an embodiment of the present invention is shown. The horizontal axis is the radius from the optical axis 102 (the position of the radius equal to zero) along the first optical region, represented by x, the unit of which is, for example, millimeters (mm), and the vertical axis represents the additional power, the unit of which is D (diopters), the diopter of the present invention is defined as the reciprocal of the focal length of the contact lens. As shown in Fig. 3, the diopter P(x) of the present invention is expressed by the following formula: Where, the mean μ=xc+(Wim/2), the standard deviation σ=Wim/6, “/” represents the sign of the division; Add is the coefficient of the additional diopter, which is the maximum (max) and minimum of FIG. The difference between (min) is calculated, for example, -0.5-(-3.0) = 2.5D; x is the radius from the optical axis 102 along any position of the first optical region 108; Pc is the myopic diopter of the central region 110 or Is the far vision diopter; xc is the radius of the central region 110; Wim is the width of the intermediate region 114; t is the integral variable of the length; and in one embodiment, the "+" in the "±" symbol indicates that the central region 110 is the far vision diopter "-" indicates that the central region 110 is myopic diopter.
如圖3所示,所述中心區域110的半徑、所述中間區域114的寬度以及所述第一光學區域108之附加屈光度用以調整所述第一光學區域108之屈光度的連續性常態分佈。具體來說,本發明之漸近變焦隱形眼鏡的屈光度曲線之形狀及其變化率係由中心區域110的半徑xc、中間區域114的寬度Wim、以及附加屈光度之係數Add三個變數所調整與控制,以適用於使用者的瞳孔外形及其尺寸,例如是瞳孔尺寸介於2mm至6mm之間。在一較佳實施例中,所述中心區域114的半徑xc大於或是等於零公厘,並且xc小於1公厘,但不限於此,可為適用於不同瞳孔的尺寸作調整;所述中間區域114的寬度Wim大於零公厘,並且Wim小於或是等於3公厘,但不限於此,可為適用於不同瞳孔的尺寸作調整,故本發明可提高漸近變焦隱形眼鏡的設計彈性。 As shown in FIG. 3, the radius of the central region 110, the width of the intermediate region 114, and the additional diopter of the first optical region 108 are used to adjust the continuous normal distribution of the diopter of the first optical region 108. Specifically, the shape of the diopter curve of the asymptotic zoom contact lens of the present invention and its rate of change are adjusted and controlled by three variables: the radius xc of the central region 110, the width Wim of the intermediate region 114, and the coefficient ADD of the additional diopter. The shape and size of the pupil suitable for the user, for example, the pupil size is between 2 mm and 6 mm. In a preferred embodiment, the radius xc of the central region 114 is greater than or equal to zero mm, and xc is less than 1 mm, but is not limited thereto, and may be adjusted for sizes suitable for different pupils; The width Wim of 114 is greater than zero mm, and Wim is less than or equal to 3 mm, but is not limited thereto, and can be adjusted for sizes suitable for different pupils, so that the present invention can improve the design flexibility of the asymptotic zoom contact lens.
參考圖4,其繪示本發明實施例中中心區域110具有不同直徑且設置為近視屈光度的附加屈光度曲線之示意圖。在圖4中,附加屈光度曲線以下列公式表示: ,其中Pc為中心區域110的近視屈光度。 Referring to FIG. 4, a schematic diagram of an additional diopter curve having central regions 110 having different diameters and set to myopic diopter is shown in an embodiment of the present invention. In Figure 4, the additional diopter curve is expressed by the following formula: Where Pc is the myopic diopter of the central region 110.
在圖4之實施例中,Pc為-0.5D,Wim為1.5mm,以及Add為2.5D,半徑xc例如是0.0、0.2、0.4、0.6以及0.8mm,分別相對應於各種屈光度曲線C11~C15,前側表面104的第一光學區域108從中心區域110經過中間區域114到達環形區域112有效地提供平滑且連續的較佳屈光度曲線。 In the embodiment of FIG. 4, Pc is -0.5D, Wim is 1.5mm, and Add is 2.5D, and the radius xc is, for example, 0.0, 0.2, 0.4, 0.6, and 0.8mm, respectively corresponding to various diopter curves C11~C15. The first optical region 108 of the front side surface 104 from the central region 110 through the intermediate region 114 to the annular region 112 effectively provides a smooth and continuous preferred diopter curve.
參考圖5,其繪示本發明實施例中環形區域112具有不同寬度且中心區域110設置為近視屈光度的附加屈光度曲線之示意圖。參照公式(E1a),Pc為-0.5D,半徑xc為0.6mm,Add為2.5D,Wim例如是0.5、0.7、0.9、1.1、1.3、以及1.5mm,分別相對應於各種屈光度曲線C21~C26,前側表面104的第一光學區域108從中心區域110經過中間區域114到達環形區域112有效地提供平滑且連續的較佳屈光度曲線。 Referring to FIG. 5, there is shown a schematic diagram of an additional diopter curve in which the annular region 112 has different widths and the central region 110 is set to myopic diopter in an embodiment of the present invention. Referring to formula (E1a), Pc is -0.5D, radius xc is 0.6mm, Add is 2.5D, and Wim is, for example, 0.5, 0.7, 0.9, 1.1, 1.3, and 1.5mm, corresponding to various diopter curves C21~C26, respectively. The first optical region 108 of the front side surface 104 from the central region 110 through the intermediate region 114 to the annular region 112 effectively provides a smooth and continuous preferred diopter curve.
參考圖6,其繪示本發明實施例中環形區域112具有不同寬度且中心區域110設置為遠視屈光度的附加屈光度曲線之示意圖。在圖6中,附加屈光度曲線以下列公式表示: ,其中Pc為中心 區域110的遠視屈光度。 Referring to Figure 6, there is shown a schematic diagram of an additional diopter curve in which the annular regions 112 have different widths and the central region 110 is set to a far vision diopter in an embodiment of the present invention. In Figure 6, the additional diopter curve is expressed by the following formula: Where Pc is the far vision diopter of the central region 110.
在圖6之實施例中,Pc為-3.0D,半徑xc為0.6mm,Add為2.5D,Wim例如是0.5、0.7、0.9、1.1、1.3、以及1.5mm,分別相對應於各種屈光度曲線C31~C36,Wim的值越大,屈光度的變化越平滑。在此實施例 中的各種屈光度曲線,前側表面104的第一光學區域108從中心區域110經過中間區域114到達環形區域112有效地提供平滑且連續的較佳屈光度曲線。 In the embodiment of FIG. 6, Pc is -3.0D, radius xc is 0.6mm, Add is 2.5D, and Wim is, for example, 0.5, 0.7, 0.9, 1.1, 1.3, and 1.5 mm, respectively corresponding to various diopter curves C31. ~C36, the larger the value of Wim, the smoother the change in diopter. In this embodiment The various diopter curves in the first optical region 108 of the front side surface 104 from the central region 110 through the intermediate region 114 to the annular region 112 effectively provide a smooth and continuous preferred diopter curve.
參考圖7,其繪示本發明實施例中漸近變焦隱形眼鏡的非均勻有理化塑形曲線(non-uniform rational B-spline,NURBS)之示意圖。如圖7所示,所述非均勻有理化塑形曲線(NURBS)C(u)以下列公式表示:,其中階數p係由以下定義:控制點P0,P1,...,Ph,節點向量U,以及權重值w0,w1,...,wh,運算的個數表示為i=0至i=h。 Referring to FIG. 7, a schematic diagram of a non-uniform rational B-spline (NURBS) of an asymptotic zoom contact lens in an embodiment of the present invention is shown. As shown in FIG. 7, the non-uniform rationalized shaping curve (NURBS) C(u) is expressed by the following formula: , where the order p is defined by: control points P0, P1, ..., Ph, node vector U, and weight values w0, w1, ..., wh, the number of operations is expressed as i = 0 to i =h.
節點向量U以下列公式表示:
在本發明的實施例之漸近變焦隱形眼鏡中,所述第一光學區域108的所述中心區域110、所述環形區域以112及所述中間區域114係由非均勻有理化塑形曲線(NURBS)所組成的連續性表面。在另一實施例中,所述第一光學區域108的所述中心區域110與所述中間區域114的每個連接點具有相同的斜率值,並且所述中間區域114與所述環形區域112的每個連接點具有相同的斜率值,以構成前側表面104具有第一光學區域108平滑的連續性表面,如圖1以及圖2所示,並且用於圖3之屈光度曲線。 In an asymptotic zoom contact lens of an embodiment of the invention, the central region 110 of the first optical region 108, the annular region 112 and the intermediate region 114 are formed by a non-uniform rationalized shaping curve (NURBS) ) a continuous surface composed of. In another embodiment, the central region 110 of the first optical region 108 has the same slope value as each of the connection points of the intermediate region 114, and the intermediate region 114 and the annular region 112 Each connection point has the same slope value to form a smooth front surface of the front side surface 104 having the first optical region 108, as shown in Figures 1 and 2, and for the diopter curve of Figure 3.
圖8A-8B繪示本發明實施例中漸近變焦隱形眼鏡的第一光學區域108的非均勻有理化塑形曲線(NURBS)及其相對應的附加屈光度曲線之示意圖。在圖8A中,橫軸表示x為從光軸102沿著第一光學區域108的半徑,縱軸表示前側表面的凹型深度FS(mm),圖8B的橫軸以及縱軸如同圖3所示。圖8A的非均勻有理化塑形曲線(NURBS)形成圖1的第一光學區域108的中心區域110、環形區域112以及中間區域114,並且相對應附加屈光度曲線,藉由前側光學表面形成連續性非均勻有理化塑形曲線之輪廓以及配置漸近變化的屈光度,以解決習知技術中屈光度之過渡區域形成不連續性之問題,並且非均勻有理化塑形曲線(NURBS)易於調整控制,改善習知技術中高階的幾何線條之複雜設計,提高設計彈性。 8A-8B are schematic diagrams showing a non-uniform rationalized shape curve (NURBS) of a first optical region 108 of an asymptotic zoom contact lens and its corresponding additional diopter curve in an embodiment of the present invention. In FIG. 8A, the horizontal axis represents x as the radius from the optical axis 102 along the first optical region 108, and the vertical axis represents the concave depth FS (mm) of the front side surface, and the horizontal axis and the vertical axis of FIG. 8B are as shown in FIG. . The non-uniform rationalized shaping curve (NURBS) of FIG. 8A forms the central region 110, the annular region 112, and the intermediate region 114 of the first optical region 108 of FIG. 1, and corresponds to an additional diopter curve, which is formed by the front optical surface. The contour of the non-uniform rationalized shaping curve and the configuration of the asymptotically varying diopter to solve the problem of discontinuity in the transition region of the diopter in the prior art, and the non-uniform rationalized shaping curve (NURBS) is easy to adjust and control, improve the habit Know the complex design of high-order geometric lines in the technology to improve design flexibility.
參考圖1~4、圖8A-8B以及圖9,圖9繪示本發明實施例中漸近變焦隱形眼鏡的製造方法之流程圖。所述漸近變焦隱形眼鏡的製造方法包括下列步驟: Referring to FIGS. 1 to 4, FIGS. 8A-8B and FIG. 9, FIG. 9 is a flow chart showing a method of manufacturing an asymptotic zoom contact lens according to an embodiment of the present invention. The method for manufacturing the asymptotic zoom contact lens comprises the following steps:
在步驟S900中,輸入漸近變焦隱形眼鏡的資料,例如包括使用者的角膜形狀、遠視屈光度、近視屈光度、隱形眼鏡的材質(例如是軟式材質或是硬式材質)、光學區域的直徑、以及隱形眼鏡的厚度。提供一光軸102於一本體100。 In step S900, the data of the asymptotic zoom contact lens is input, for example, including the user's cornea shape, far vision diopter, myopic diopter, contact lens material (for example, soft material or hard material), optical region diameter, and contact lens. thickness of. An optical axis 102 is provided to a body 100.
在步驟S902中,依據公式(E1a)以及(E1b)所示之附加屈光度曲線,以決定屈光度分佈曲線。 In step S902, the diopter curve is determined according to the additional diopter curves shown by the formulas (E1a) and (E1b).
在步驟S904中,決定後側表面106的表面,例如是球形(spherical)表面或是非球形(aspheric)表面。具體來說,形成一具有第二光學區域116之後側表面106,以所述光軸102作為所述第二光學區域116的中心,所述後側表面106依據所述光軸102與所述前側表面104相對異側設置,其中所述前側表面104的邊緣與104a所述後側表面106的邊緣106a互相連接。 In step S904, the surface of the rear side surface 106 is determined, for example, a spherical surface or an aspheric surface. Specifically, a rear side surface 106 having a second optical region 116 is formed with the optical axis 102 as the center of the second optical region 116, the rear side surface 106 being in accordance with the optical axis 102 and the front side The surface 104 is disposed opposite the sides, wherein the edge of the front side surface 104 is interconnected with the edge 106a of the back side surface 106 of 104a.
在步驟S906中,利用光線追蹤方法(ray tracing method)以及數值分析方法計算前側表面104,以形成非均勻有理化塑形曲線(NURBS)。在一實施例中,在前側表面104的每個點的半徑滿足式(E1a)以及(E1b)所示之附加屈光度曲線。此外,依據公式(E2)、(E21)、(E22)以及(E23)形成非均勻有理化塑形曲線(NURBS)。具體來說,形成一具有第一光學區域108之前側表面104,以所述光軸102作為所述第一光學區域108的中心,所述第一光學區域108包括在所述光軸102附近的中心區域110、環形區域112、以及連接於所述中心區域110與所述環形區域112之間的中間區域114,其中所述中心區域110以及所述環形區域112係分別設置為不同的屈光度包括遠視屈光度與近視屈光度。接著,調整所述中間區域114用以漸近調整所述遠視屈光度與所述近視屈光度的光功率,使所述前側表面104的所述第一光學區域 108在所述遠視屈光度與所述近視屈光度之間的屈光度形成連續性常態分佈。所述第一光學區域108的所述中心區域110、所述環形區域112以及所述中間區域114係由非均勻有理化塑形曲線(NURBS)所組成的連續性表面。 In step S906, the front side surface 104 is calculated using a ray tracing method and a numerical analysis method to form a non-uniform rationalized shaping curve (NURBS). In an embodiment, the radius of each point on the front side surface 104 satisfies the additional diopter curve shown by equations (E1a) and (E1b). Further, a non-uniform rationalized shaping curve (NURBS) is formed according to the formulas (E2), (E21), (E22), and (E23). Specifically, a front side surface 104 having a first optical region 108 is formed with the optical axis 102 as the center of the first optical region 108, and the first optical region 108 is included near the optical axis 102. a central region 110, an annular region 112, and an intermediate region 114 connected between the central region 110 and the annular region 112, wherein the central region 110 and the annular region 112 are respectively set to different diopter, including hyperopia Diopters and myopic diopter. Next, the intermediate region 114 is adjusted to asymptotically adjust the optical power of the far vision diopter and the near vision diopter such that the first optical region of the front side surface 104 The diopter between the far vision diopter and the myopic diopter forms a continuous normal distribution. The central region 110, the annular region 112, and the intermediate region 114 of the first optical region 108 are continuous surfaces composed of a non-uniform rationalized shaping curve (NURBS).
在步驟S908中,計算前側表面104的週邊區域115及其相對應的後側表面106,以適用於使用者的眼睛的配戴舒適性。 In step S908, the peripheral region 115 of the front side surface 104 and its corresponding rear side surface 106 are calculated to suit the wearing comfort of the user's eyes.
在步驟S910中,輸出具有非均勻有理化塑形曲線(NURBS)的漸近變焦隱形眼鏡。例如使用電腦輔助設計程式(CAD)模型並且透過數值控制機器(CNC)進行加工,以製造出具有非均勻有理化塑形曲線(NURBS)的漸近變焦隱形眼鏡。具體來說,本發明之漸近變焦隱形眼鏡製造方法可利用處理器(processor)或是微控制器以執行儲存於記憶體(例如非揮發性記體、RAM、ROM)的程式碼,並且將漸近變焦隱形眼鏡的相關處理前與處理後的資料、以及參數儲存於所述記憶體中,透過電腦程式指令的運作來執行本發明上述之製造步驟。 In step S910, an asymptotic zoom contact lens having a non-uniform rationalized shaping curve (NURBS) is output. For example, a computer aided design (CAD) model is used and processed by a numerical control machine (CNC) to produce an asymptotic zoom contact lens with a non-uniform rationalized shape curve (NURBS). Specifically, the method for manufacturing the asymptotic zoom contact lens of the present invention may use a processor or a microcontroller to execute a code stored in a memory (eg, non-volatile memory, RAM, ROM), and will asymptotically The pre-processed and processed data and parameters of the zoom contact lens are stored in the memory, and the above-described manufacturing steps of the present invention are performed by the operation of computer program instructions.
綜上所述,本發明之漸近變焦隱形眼鏡及其製造方法,藉由前側光學表面形成連續性非均勻有理化塑形曲線之輪廓以及配置漸近變化的屈光度,以改善使用者的視力。本發明使用連續NURBS曲線作為前側光學表面的表面輪廓,以從近端或是遠端至相對的焦距長度逐漸地改變屈光力(optical power)。此外,本發明具有較高的屈光力分佈之設計自由度(彈性),以適用於特定的老花眼者視力需求,藉由使用NURBS曲線,本發明不但可以使前側表面平滑並且具有連續性,還可以滿足瞳孔半徑的各種屈光力分佈狀態以及附加屈光力值之需求。 In summary, the asymptotic zoom contact lens of the present invention and the method for fabricating the same have improved contour of the user by forming a contour of the continuous non-uniform rationalized shaping curve and configuring an asymptotically varying diopter by the front optical surface. The present invention uses a continuous NURBS curve as the surface profile of the front side optical surface to gradually change the optical power from the proximal or distal end to the opposite focal length. In addition, the present invention has a high degree of design freedom (elasticity) of the refractive power distribution to suit the vision needs of a particular presbyopic eye. By using the NURBS curve, the present invention can not only make the front side surface smooth and continuous, but also satisfy The various refractive power distribution states of the pupil radius and the need for additional refractive power values.
雖然本發明已用較佳實施例揭露如上,然其並非用以限定本 發明,本發明所屬技術領域中具有通常知識者,在不脫離本發明之精神和範圍內,當可作各種之更動與潤飾,因此本發明之保護範圍當視後附之申請專利範圍所界定者為準。 Although the present invention has been disclosed above with preferred embodiments, it is not intended to limit the present invention. The invention is intended to be limited to the scope of the invention, and the scope of the invention is defined by the scope of the appended claims. Prevail.
100‧‧‧本體 100‧‧‧ body
102‧‧‧光軸 102‧‧‧ optical axis
104‧‧‧前側表面 104‧‧‧ front side surface
108‧‧‧第一光學區域 108‧‧‧First optical zone
110‧‧‧中心區域 110‧‧‧Central area
112‧‧‧環形區域 112‧‧‧ring area
114‧‧‧中間區域 114‧‧‧Intermediate area
115‧‧‧週邊區域 115‧‧‧ surrounding area
x‧‧‧第一光學區域半徑 X‧‧‧first optical area radius
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| TW105123109A TWI584022B (en) | 2016-07-21 | 2016-07-21 | Progressive multifocal contact lens and producing method thereof |
| US15/432,934 US10274750B2 (en) | 2016-07-21 | 2017-02-15 | Progressive multifocal contact lens and producing method thereof |
| CN201710146371.4A CN107643608A (en) | 2016-07-21 | 2017-03-13 | Progressive zoom contact lenses and methods of making same |
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| CN113835237A (en) * | 2021-10-19 | 2021-12-24 | 凯乐康药业(江苏)有限公司 | Out-of-focus contact lens for controlling myopia |
| CN116224620A (en) * | 2022-12-26 | 2023-06-06 | 江苏圣谱光学技术有限公司 | A Design Method of Lens Edge Thinning Based on Hyperbolic Tangent Function |
| TWI871569B (en) * | 2022-01-19 | 2025-02-01 | 英商庫博光學國際有限公司 | Contact lenses and methods relating thereto |
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