光学精密工程2025，Vol.33Issue(6)：839-849,11.DOI:10.37188/OPE.20253306.0839
三次样条插值优化渐进多焦点镜片非对称设计
Optimization of asymmetric progressive addition lens design with cubic spline interpolation
摘要
Abstract
In order to improve and optimize the traditional symmetrical design of progressive addition lens-es,there were problems such as blind angle and distortion of the field of view.Two offset methods based on a rotation translation algorithm and an interpolation algorithm were proposed.Firstly,the binocular convergence phenomenon of the human eye was analyzed,and two asymmetric design methods were intro-duced:rotational translation offset and interpolation shift.Secondly,an offset function was set,and the in-terpolation function through the initial offset point was constructed by using Lagrange interpolation,New-ton interpolation,and cubic spline interpolation.Thirdly,by setting two boundary conditions of two sets of offset point values and cubic spline interpolation values on two sets of meridians,three interpolation al-gorithms were analyzed and compared.Finally,the optical power and astigmatism distribution were given through simulation and actual processing.The experimental results show that the cubic spline interpolation in the interpolation algorithm is smoother and has no inflection point,the astigmatism gradient of the two asymmetric design methods in the near and far areas has achieved a smooth transition,the maximum astig-matism is reduced from 1.125 times the added luminosity to 0.875 times the added luminosity,and the off-set angle is between 20° and 23°,which basically meets the characteristics of automatic convergence of the human eye and improves the problems of distortion and distortion of human vision.关键词
光学设计/渐进多焦点镜片/非对称设计/三次样条插值Key words
optical design/progressive addition lenses/asymmetrical design/cubic spline interpolation分类
机械工程引用本文复制引用
项华中,吴科婷,马乐飞,梅志贤,解敏,樊骏,郑泽希,张大伟,庄松林..三次样条插值优化渐进多焦点镜片非对称设计[J].光学精密工程,2025,33(6):839-849,11.基金项目
国家自然科学基金(No.61605114,No.52206102) （No.61605114,No.52206102）
