计算机工程与应用 ›› 2013, Vol. 49 ›› Issue (3): 159-162.

• 数据库、数据挖掘、机器学习 • 上一篇    下一篇

一种改进的加权最小二乘相位展开方法研究

殷爱菡,张清淼,姜辉明   

  1. 华东交通大学 信息工程学院,南昌 330000
  • 出版日期:2013-02-01 发布日期:2013-02-18

Study of improved phase unwrapping method based on weighted least squares

YIN Aihan, ZHANG Qingmiao, JIANG Huiming   

  1. School of Information Engineering, East China Jiaotong University, Nanchang 330000, China
  • Online:2013-02-01 Published:2013-02-18

摘要: 相位展开是光栅投影廓术中的一个关键步骤。对加权最小二乘相位展开算法的原理进行了介绍,利用小波多分辨率特性对Picard迭代算法进行了改进。改进的算法将误差分解为低频和高频成分,对它们分别进行Picard迭代来提高收敛速度。实验结果证明:改进后的算法具有收敛速度快,抗噪能力强等优点。

关键词: 光栅投影轮廓术, 相位展开, 加权最小二乘, Picard迭代, 小波多分辨率分析

Abstract: Phase unwrapping is a key step in fringe projection profilometry. The theory of weighted least squares is introduced and Picard iterative algorithm is improved by using wavelet multi-resolution analysis. The errors are decomposed into low-frequency components and high-frequency components. Both of them use Picard iteration to speed up the convergence. The experimental results indicate that it can suppress more noise with less iteration.

Key words: fringe projection profilometry, phase unwrapping, weighted least squares, Picard iteration, wavelet multi-resolution analysis