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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 22 — Oct. 22, 2012
  • pp: 24247–24262

Morphological operation-based bi-dimensional empirical mode decomposition for automatic background removal of fringe patterns

Xiang Zhou, Adrian Gh. Podoleanu, Zhuangqun Yang, Tao Yang, and Hong Zhao  »View Author Affiliations

Optics Express, Vol. 20, Issue 22, pp. 24247-24262 (2012)

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A modified bi-dimensional empirical mode decomposition (BEMD) method is proposed for sparsely decomposing a fringe pattern into two components, namely, a single intrinsic mode function (IMF) and a residue. The main idea of this method is a modified sifting process which employs morphological operations to detect ridges and troughs of the fringes, and uses weighted moving average algorithm to estimate envelopes of the IMF, replacing respective local extrema detection and envelope interpolation of conventional BEMDs. The background intensity of the fringe pattern is automatically removed by extracting the single IMF, thereby relieving the mode mixing problem of the BEMDs. A fast algorithm based on 2D convolution is also presented for reducing the calculation time to several seconds only. This approach is applied to process simulated and real fringe patterns, and the results obtained are compared with Fourier transform, discrete wavelet transform, and other EMD methods. The MATLAB code is downloadable at http://gr.xjtu.edu.cn/web/zhouxiang.

© 2012 OSA

OCIS Codes
(100.2650) Image processing : Fringe analysis
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(110.2650) Imaging systems : Fringe analysis

ToC Category:
Image Processing

Original Manuscript: July 20, 2012
Revised Manuscript: August 27, 2012
Manuscript Accepted: September 9, 2012
Published: October 8, 2012

Xiang Zhou, Adrian Gh. Podoleanu, Zhuangqun Yang, Tao Yang, and Hong Zhao, "Morphological operation-based bi-dimensional empirical mode decomposition for automatic background removal of fringe patterns," Opt. Express 20, 24247-24262 (2012)

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