A novel adaptive windowed Fourier transform for phase retrieval in 3D shape measurement

被引：0
作者：
机构：
[1] School of Automation, Southeast University, Nanjing
来源：
Wang, C. (w.chenxing@gmail.com) | 1600年 / Chinese Optical Society卷 / 32期
关键词：
Adaptive windowed Fourier transform; Hilbert-Huang transform; Measurement; Phase retrieval;
D O I：
10.3788/AOS201232.0612005
中图分类号：
学科分类号：
摘要：
Method of adaptive windowed Fourier transform based on Hilbert-Huang transform (HHT) is presented to address the issue of adaptive selection of window size and spectrum aliasing in multiscale windowed Fourier transform for phase retrieval of fringe pattern. Spectrum obtuined by HHT is analyzed to adaptively determine the background and instantaneous frequencies which can describe the change of signals in detail for fringe pattern. By using the presented steps, local stationary regions are located adaptively according to instantaneous frequencies, and then scale factors of window function are got. Before performing adaptive windowed Fourier transform, the background which has been determined is eliminated from fringe pattern to avoid spectrum aliasing caused by expansion of zero-spectrum especially without extra computation. Compared with the method such as the ridge of wavelet transform or the ridge of S transform, the presented method is not limited by hypothesis of linear approximation and changing slowly for measured phase. Experments illustrate the effectiveness and feasibility of this method which is accurate and robust even for measurement of object which carries with steep edge or complex surface.
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  • [1] Zhang S., Weide D.V.D., Oliver J., Superfast phase-shifting method for 3-D shape measurement, Opt. Express, 18, 9, pp. 9684-9689, (2010)
  • [2] Takeda M., Ina H., Kobayashi S., Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry, J. Opt. Soc. Am., 72, 1, pp. 156-160, (1982)
  • [3] Xiong L., Jia S., Du Y., A novel algorithm for phase retrieval from a single carrier frequency fringe pattern, Acta Optica Sinica, 30, 1, pp. 123-126, (2010)
  • [4] Zou H., Zhao H., Zhou X., Triple-frequency color-encoded fringe projection profilometry based on empirical mode decomposition, Acta Optica Sinica, 31, 8, (2011)
  • [5] Qian K., Windowed Fourier transform for fringe pattern analysis, Appl. Opt., 43, 13, pp. 2695-2702, (2004)
  • [6] Zhong J., Phase retrieval of optical fringe patterns from the ridge of a wavelet transform, Opt. Lett., 30, 19, pp. 2560-2562, (2005)
  • [7] Weng J., Zhong J., Apply wavelet transform to phase analysis of spatial carrier-fringe patterns, Acta Optica Sinica, 25, 4, pp. 454-459, (2005)
  • [8] Fernandez S., Gdeisat M.A., Salvi Young J., Automatic window size selection in windowed Fourier transform for 3D reconstruction using adapted mother wavelets, Opt. Commun., 284, 12, pp. 2797-2807, (2011)
  • [9] Zheng S., Chen W., Su X., Adaptive windowed Fourier transform in 3-D shape measurement, Opt. Engng., 45, 6, (2006)
  • [10] Zhong J., Zeng H., Multiscale windowed Fourier transform for phase extraction of fringe patterns, Appl. Opt., 46, 14, pp. 2670-2675, (2007)
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