摘要
S变换是一种集合了窗口傅里叶变换和小波变换优点的时-频分析技术,目前一维S变换已成功应用于结构光投影的条纹相位解调中。由于二维S变换可以对图像在两个方向上进行时频分析,具有更优于一维S变换的分析和处理能力。为了完善S变换的条纹相位解调理论,将二维S变换方法引入到基于结构光投影的三维光学测量中,研究了二维S变换在条纹相位解调中的原理及应用,给出了详尽的理论分析,并同一维S变换结果进行了比较。模拟和实验都表明,在条纹图解相中,二维S变换比一维S变换提取的相位精度更高,即使在存在较严重噪声污染的情况下也表现出良好的可靠性,体现出二维S变换提取相位的优势。
The S transform is one of the time-frequency analysis techniques which combines the advantages of both the short-time Fourier transform and wavelet transform. The one-dimensional S transform has been successfully used in fringe phase demodulation based on structured light projection. The two-dimensional （2D） S transform is able to carry out the time-frequency analysis for images in two directions, which is better than one-dimensional （1D） S transform. The 2D S transform based on the structured light projection method is introduced to the three-dimensional （3D） optical measurement for completing S transform fringe phase demodulation theory. This work studies the theory and application of the 2D S transform in fringe phase demodulation and gives a detailed theoretical analysis. Furthermore, a comparison between the 2D S transform and the 1D $ transform is carried out in fringe phase demodulation. The comparison result shows that the 2D S transform will achieve a higher accuracy than 1D S transform in extracting the phase distribution of the fringe patterns, even when the fringe patterns are seriously polluted by noises. Both the computer simulations and experiments verify that the 2D S transform outperforms the 1D S transform in the fringe analysis.
出处
《光学学报》
EI
CAS
CSCD
北大核心
2012年第12期87-96,共10页
Acta Optica Sinica
基金
国家自然科学基金(61177010)
国家973计划(2011CB301804)资助课题
关键词
测量
时-频分析
条纹相位解调
二维S变换
噪声抑制
measurement
time-frequency analysis
fringe phase demodulation
two-dimensional S transform
noise suppression
