## Eliminating the zero spectrum in Fourier transform profilometry using empirical mode decomposition

JOSA A, Vol. 26, Issue 5, pp. 1195-1201 (2009)

http://dx.doi.org/10.1364/JOSAA.26.001195

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### Abstract

Empirical mode decomposition is introduced into Fourier transform profilometry to extract the zero spectrum included in the deformed fringe pattern without the need for capturing two fringe patterns with *π* phase difference. The fringe pattern is subsequently demodulated using a standard Fourier transform profilometry algorithm. With this method, the deformed fringe pattern is adaptively decomposed into a finite number of intrinsic mode functions that vary from high frequency to low frequency by means of an algorithm referred to as a sifting process. Then the zero spectrum is separated from the high-frequency components effectively. Experiments validate the feasibility of this method.

© 2009 Optical Society of America

**OCIS Codes**

(070.4790) Fourier optics and signal processing : Spectrum analysis

(100.5070) Image processing : Phase retrieval

(070.2025) Fourier optics and signal processing : Discrete optical signal processing

(070.2615) Fourier optics and signal processing : Frequency filtering

**ToC Category:**

Fourier Optics and Signal Processing

**History**

Original Manuscript: November 12, 2008

Manuscript Accepted: March 16, 2009

Published: April 16, 2009

**Citation**

Sikun Li, Xianyu Su, Wenjing Chen, and Liqun Xiang, "Eliminating the zero spectrum in Fourier transform profilometry using empirical mode decomposition," J. Opt. Soc. Am. A **26**, 1195-1201 (2009)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-5-1195

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