The optimization of some parameters in windowed Fourier transform ridge algorithm

Jiang-tao Cao; Xiao-xu Lu; Zhuo Li

doi:10.1117/12.896273

19 August 2011 The optimization of some parameters in windowed Fourier transform ridge algorithm

Jiang-tao Cao, Xiao-xu Lu, Zhuo Li

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Proceedings Volume 8192, International Symposium on Photoelectronic Detection and Imaging 2011: Laser Sensing and Imaging; and Biological and Medical Applications of Photonics Sensing and Imaging; 81920C (2011) https://doi.org/10.1117/12.896273
Event: International Symposium on Photoelectronic Detection and Imaging 2011, 2011, Beijing, China

Abstract

A method of phase retrieval based on windowed Fourier transform has been proved to be one of the most effective algorithms for carrier fringe patterns. The calculation speed of windowed Fourier transform ridge (WFTR) is time consuming. The accuracy and calculation speed of phase retrieval using WFTR depend on the scanning frequency interval, but how to determine a proper frequency interval is still a problem. In this paper we see WFTR as a response of a linear time-invariant system. Then we calculate the system response function by means of numerical analysis, finding that there is always an area of zero phase response near the local frequency and its width nearly equals to the width of the main lobe of the amplitude response function. This means a system response function with bigger main lob width and fast decay rate allows a bigger frequency interval and less calculation times. These operations only increase a little error at the edge of the fringe pattern, but give a fast calculation speed. Finally we compare the carried fringe pattern phase with a standard phase extracted by the four-step phase-shifting algorithm.

Citation Download Citation

Jiang-tao Cao, Xiao-xu Lu, and Zhuo Li "The optimization of some parameters in windowed Fourier transform ridge algorithm", Proc. SPIE 8192, International Symposium on Photoelectronic Detection and Imaging 2011: Laser Sensing and Imaging; and Biological and Medical Applications of Photonics Sensing and Imaging, 81920C (19 August 2011); https://doi.org/10.1117/12.896273

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KEYWORDS

Fourier transforms

Fringe analysis

Numerical analysis

Phase shifts

Error analysis

Phase retrieval

Signal attenuation

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