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J4 ›› 2009, Vol. 44 ›› Issue (6): 40-45.

• 论文 • 上一篇    下一篇

基于移相法的三维面型测量系统优化算法研究

张延港1,崔玉泉1,李倩楠2   

  1. 1. 山东大学数学学院, 山东 济南 250100; 2. 山东大学经济研究院, 山东 济南 250100
  • 收稿日期:2008-10-28 发布日期:2011-06-03
  • 作者简介:张延港(1982-),男,硕士研究生,主要研究方向为运筹学与 控制论. Email: bush@mail.sdu.edu.cn

The optimized algorithm of optical threedimensional 
measurement for phaseshift technique

ZHANG Yangang1, CUI Yuquan1, LI Qiannan2   

  1. 1. School of Mathematics, Shandong University, Jinan 250100, Shandong, China;
    2. The Center for Economic Research, Shandong University, Jinan 250100, Shandong, China
  • Received:2008-10-28 Published:2011-06-03

摘要:

概述了基于相位测量的光学三维面型测量原理和移相法相位测量技术。针对移相法相位测量过程中的移相误差,结合优化的方法研究了传统五步移相算法的误差估计。根据相位展开原理,提出了加权最小二乘相位展开方法,并分别用两种不同的优化方法进行二维相位展开,对结果比较分析,验证了其性能与效率。

关键词: 移相;相位展开;最小二乘法;遗传算法;优化

Abstract:

The relative principle of optical threedimensional measurement based on phaseshift technique is introduced. Combining with the optimization method for the first time, error estimation of the traditional fivesample phase shifting algorithm is studied. According to the phase unwrapping principle, a weighted least square phase unwrapping algorithm is proposed. For the object problem, the Matlab program of two different optimization methods is designed on the 2D phase unwrapping. Comparing and analyzing its result, the function and efficiency are verified.

Key words: shift phase; phase unwrapping; leastsquare method; genetic algorithm

中图分类号: 

  • O22
[1] 徐新生 孙建武. 两人交叉规划问题的最优整体差解[J]. J4, 2008, 43(12): 52-55.
[2] . 求解交叉规划模型的一类联合均衡方法[J]. J4, 2009, 44(6): 51-55.
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