莫尔条纹倾角快速求解算法及应用

陈好; 贾静; 王询; 何易德; 蒋泽伟

doi:doi:10.7510/jgjs.issn.1001-3806.2020.04.001

激光技术, 2020, 44 (4): 399, 网络出版: 2020-07-16

莫尔条纹倾角快速求解算法及应用

Fast algorithm for solving Moiré fringe angle and its application

论文大纲

陈好贾静王询何易德蒋泽伟

作者单位

西南技术物理研究所，成都 610041

测量与计量倾角求解傅里叶变换莫尔条纹等效热焦距 measurement and metrology angle solving Fourier transform Moiré fringe thermal focus

摘要

为了满足基于泰伯-莫尔条纹长焦距测量技术在测量激光材料热效应等效热焦距时对测量速度的需求，提出了一种莫尔条纹倾角快速求解算法。在对传统频域迭代法测量速度影响因素分析基础上，基于迭代运算坐标值相似性和离散傅里叶变换可分离性，将频谱值求解过程中包含小数值的坐标点进行公共项分离,公共部分采用傅里叶变换指数项进行滤波，不同部分在提取相似项的基础上进行组合运算，将2维条纹图像傅里叶变换降为1维进行处理；同时相关指数项被限定在极小的可知范围，极大地方便了查表运算和位运算的采用。结果表明，采用相同配置计算机，在保证测量精度的前提下，将完成一次测量的测量时间从15s降低到0.4s，测量速度提高了38倍。该算法很好地满足了激光材料热效应等效热焦距参量快速测量的应用需求。

Abstract

In order to meet the measurement speed requirement when measuring the equivalent thermal focal length of laser material thermal effect based on the Talbot interferometer, a fast algorithm for solving the Moiré fringe angle was proposed. The influence factors of measuring speed by traditional frequency iterative method were analyzed. Based on the similarity of the iterative computing coordinate value and the separability of discrete Fourier transform, the common points of the coordinate points containing decimal are separated from coordinate operation of the spectrum value solution process. The common is filtered by the Fourier transform exponential term, and the different parts are combined operation on the basis of extracting similarity. The 2-D image is reduced to 1-D, and the index items of different parts are limited to the minimal knowable range, which greatly facilitates the use of table-referring and bit-wise operation. The experimental results show that the measurement time with the same configuration computer is reduced from 15s to 0.4s on the premise of ensuring the measurement accuracy, and the measurement speed is increased by 38 times. The application requirement of the equivalent thermal focal length measurement was well satisfied.

参考文献

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陈好, 贾静, 王询, 何易德, 蒋泽伟. 莫尔条纹倾角快速求解算法及应用[J]. 激光技术, 2020, 44(4): 399. CHEN Hao, JIA Jing, WANG Xun, HE Yide, JIANG Zewei. Fast algorithm for solving Moiré fringe angle and its application[J]. Laser Technology, 2020, 44(4): 399.

莫尔条纹倾角快速求解算法及应用

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