光学学报, 2016, 36 (4): 0412006, 网络出版: 2016-04-05
基于评价函数的二维小波变换轮廓术小波脊提取方法
Wavelet Ridge Extraction Method Employing a Cost Function in Two-Dimensional Wavelet Transform Profilometry
摘要
小波脊提取是小波变换轮廓术的关键步骤,在抑噪能力和速度方面,前者直接影响后者。提出了基于评价函数的二维小波变换的一种新的小波脊提取方法,利用二维小波变换系数模信息、条纹瞬时频率信息以及局部条纹结构方向信息建立评价函数指导小波脊提取;并设计了快速动态优化算法。计算机模拟和实验验证了所提方法的有效性。
Abstract
Wavelet ridge extraction is a key step in the wavelet transform profilometry. The speed and noise suppression capability of the wavelet ridge extraction method directly influences the wavelet transform profilometry. One new wavelet ridge extraction method used in the two-dimensional wavelet transform profilometry is proposed based on a new evaluation function. This function is established by using the module information from the wavelet transform coefficients, fringe instantaneous frequency and local fringe direction to improve the noise suppression capability. Moreover, one fast dynamic optimization algorithm is adopted to improve the wavelet ridge extraction speed. Computer simulation and experimental demonstration verify the proposed method’s effectiveness.
徐东瀛, 李思坤, 王向朝, 汪凯巍. 基于评价函数的二维小波变换轮廓术小波脊提取方法[J]. 光学学报, 2016, 36(4): 0412006. Xu Dongying, Li Sikun, Wang Xiangzhao, Wang Kaiwei. Wavelet Ridge Extraction Method Employing a Cost Function in Two-Dimensional Wavelet Transform Profilometry[J]. Acta Optica Sinica, 2016, 36(4): 0412006.