为了克服在非平稳信号分析中傅里叶变换的全局性缺陷,以及窗口傅里叶分析的单一分辨率和伸缩窗口傅里叶分析的尺度不确定性问题,采用伽博解析小波变换技术对空间载频光栅条纹进行相位分析,有效地提取出相对于载频条纹基频的完整相位信息,从本质上解决了上述问题。以三维轮廓术为例,与傅里叶分析进行了对比研究,给出了小波分析应用在空间载频条纹相位分析中详细而完整的理论推导证明、计算机模拟以及实验验证结果。

In order to overcome the disadvantages of Fourier transform analyzing nonstationary signals, the invariable resolution of Fourier transform, and the uncertainty scale of dilating Fourier transform, the Gabor wavelet transform is applied to analyze the spatial carrier-fringes. By introducing the Gabor wavelet to analyzing the spatial carrier-fringe patterns, the modulated phase distribution relative to the fundamental frequency is obtained finally. The theory, accuracy check using a simulation and an example of 3-D shape measurement are shown.