基于高阶Bezier曲线的渐进多焦点镜片设计  

Progressive addition lens design on the basis of higher-order Bezier curves

作　　者：刘江 金涛[1] 贾宏志[1] LIU Jiang;JIN Tao;JIA Hongzhi(University of Shanghai for Science and Technology,School of Optical-Electrical and Computer Engineering,Shanghai 200093,China)

机构地区：[1]上海理工大学光电信息与计算机工程学院,上海200093

出　　处：《光学技术》2024年第5期550-559,共10页Optical Technique

基　　金：国家重点研发计划(2020YFB2007501)。

摘　　要：采用直接法设计渐近多焦镜片时,子午线上的光焦度分布是控制远用区,近用区和通道大小的关键。以高阶多项式为代表的子午线光焦度分布函数无法有效控制各个眼用区域附近的光焦度变化速率,导致镜片个性化设计的灵活性不高。为解决这一问题,文章引入了一个高阶Bezier函数来描述期望的子午线光焦度分布,在子午线眼用区域附近添加多个曲线控制点,通过改变控制点位置来调节对应区域光焦度变化速率,以实现对镜片光焦度和像散分布的个性化控制。通过计算仿真、面型分析软件验证和实际加工测量分析可知,设计的四款渐进多焦点镜片在满足佩戴用途的同时具有较低的像散极值和宽阔的光焦度稳定区域,展现Bezier曲线的高可塑性。方法具有子午线灵活可调的能力,能有效控制关键区域的设计、位置、远视区域、近视区域和通道区域的大小,为个性化设计抗疲劳、办公室和驾驶等场景渐进多焦点眼镜展示了一种有效的方法。The meridian optical focus distribution is the key to controlling the size of the distance zone, near zone and channel, when designing Progressive Addition Lenses(PALs) using the direct method. The meridian optical focus distribution function represented by a high-order polynomial cannot effectively control the rate of optical focus change, resulting in a lack of flexibility in the individual design of lenses. To solve this problem, a higher-order Bezier function is proposed for describing the desired meridian optical focus distribution. Multiple curve control points are added on the meridian line. The rate of optical focus is changed in the corresponding region by changing the position of the control points, thus realizing the personalized control of the optical focus and dispersion distribution of the lenses. Through computational simulation, manufacturing and profile measurement analysis, it can be seen that the four designed PALs can meet the wearing purposes with low aberration extremes and wide focal stability ranges, which demonstrating the high plasticity of the Bezier curves. With the ability of meridian flexibility and adjustability, the method can effectively control the design, position, size of the key area, distance area, channel size. The proposed method can be used for personalized design of progressive multifocal spectacles for anti-fatigue, office and driving scenarios.

关 键 词：光学设计 渐进多焦点眼用镜片 子午线 高阶Bezier曲线 

分 类 号：TP394.1[自动化与计算机技术—计算机应用技术] TH691.9[自动化与计算机技术—计算机科学与技术]