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基于相位拟合的莫尔条纹局部倾角计算

Calculation of Local Fringe Direction in Moiré Patterns Based on Phase Fitting

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摘要

提出了一种精确求取莫尔条纹局部倾角的图像处理方法,可用于求解在渐进多焦点镜片屈光度测量中出现的莫尔条纹局部倾角。研究了实际采集到的条纹图片特性,分析了理论推导时假设测量条件与实际测量条件的矛盾,进一步探究表明实际测量所需的莫尔条纹角度实质上是基于条纹相位场而非强度场。在此基础上,提出了基于相位拟合求取条纹局部角度的方法,该方法首先通过移相得到莫尔条纹的相位,然后对相位进行泽尼克多项式拟合,得到相位的多项式表达,最后通过求解多项式对两个方向的偏导数,计算出相应位置的条纹角度。理论分析和仿真结果表明,该方法能够避免背景光和光源振幅分布不均的影响,对条纹噪声和条纹周期变化不敏感,角度求取精度可达到0.2°。

Abstract

An image processing method for accurately calculating the local fringe direction of moiré patterns was proposed that can be applied to the moiré deflectogram of a spherical progressive addition ophthalmic lens. The empirical characteristics of a collected moiré pattern were used as the basis for analyzing misalignments between assumptions and actual measurement conditions during the derivation of the measurement theory. Further investigation shows that the moiré fringe angle required for actual measurement is based chiefly on the fringe phase field rather than the intensity field. Based on this, a method using phase fitting to obtain the local angle of fringes was proposed. The method first obtained the phase of the moiré fringe by phase shifting and next fitted the phase to the Zernike polynomial to obtain the polynomial expression of the phase. The method then calculated the fringe angle of the corresponding position by solving the partial derivative of the polynomial in each of two directions. Theoretical analysis and simulation results show that this method can eliminate the influence of the uneven distribution of background light and light source amplitude, making it insensitive to fringe noise and fringe period variation. Angle calculation accuracy can reach 0.2°.

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中图分类号:TH741

DOI:10.3788/LOP57.241009

所属栏目:图像处理

基金项目:国家自然科学基金;

收稿日期:2020-04-23

修改稿日期:2020-06-09

网络出版日期:2020-12-01

作者单位    点击查看

薛鹏永:南京理工大学电子工程与光电技术学院, 江苏 南京 210094
何勇:南京理工大学电子工程与光电技术学院, 江苏 南京 210094先进固体激光工业和信息化部重点实验室, 江苏 南京 210094
郭仁慧:南京理工大学电子工程与光电技术学院, 江苏 南京 210094先进固体激光工业和信息化部重点实验室, 江苏 南京 210094
李建欣:南京理工大学电子工程与光电技术学院, 江苏 南京 210094先进固体激光工业和信息化部重点实验室, 江苏 南京 210094
徐海飞:南京理工大学电子工程与光电技术学院, 江苏 南京 210094

联系人作者:薛鹏永(heyong@njust.edu.cn); 何勇(heyong@njust.edu.cn);

备注:国家自然科学基金;

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引用该论文

Xue Pengyong,He Yong,Guo Renhui,Li Jianxin,Xu Haifei. Calculation of Local Fringe Direction in Moiré Patterns Based on Phase Fitting[J]. Laser & Optoelectronics Progress, 2020, 57(24): 241009

薛鹏永,何勇,郭仁慧,李建欣,徐海飞. 基于相位拟合的莫尔条纹局部倾角计算[J]. 激光与光电子学进展, 2020, 57(24): 241009

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