一种改进的加权最小二乘相位展开方法研究  

Study of improved phase unwrapping method based on weighted least squares

作　　者：殷爱菡[1] 张清淼[1] 姜辉明[1] 

机构地区：[1]华东交通大学信息工程学院,南昌330000

出　　处：《计算机工程与应用》2013年第3期159-162,共4页Computer Engineering and Applications

基　　金：国家自然科学基金(No.11174118)

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。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.

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 

分 类 号：TN247[电子电信—物理电子学]