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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 46, Iss. 30 — Oct. 20, 2007
  • pp: 7475–7484

Denoising by coupled partial differential equations and extracting phase by backpropagation neural networks for electronic speckle pattern interferometry

Chen Tang, Wenjing Lu, Song Chen, Zhen Zhang, Botao Li, Wenping Wang, and Lin Han  »View Author Affiliations


Applied Optics, Vol. 46, Issue 30, pp. 7475-7484 (2007)
http://dx.doi.org/10.1364/AO.46.007475


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Abstract

We extend and refine previous work [Appl. Opt. 46, 2907 (2007)]. Combining the coupled nonlinear partial differential equations (PDEs) denoising model with the ordinary differential equations enhancement method, we propose the new denoising and enhancing model for electronic speckle pattern interferometry (ESPI) fringe patterns. Meanwhile, we propose the backpropagation neural networks (BPNN) method to obtain unwrapped phase values based on a skeleton map instead of traditional interpolations. We test the introduced methods on the computer-simulated speckle ESPI fringe patterns and experimentally obtained fringe pattern, respectively. The experimental results show that the coupled nonlinear PDEs denoising model is capable of effectively removing noise, and the unwrapped phase values obtained by the BPNN method are much more accurate than those obtained by the well-known traditional interpolation. In addition, the accuracy of the BPNN method is adjustable by changing the parameters of networks such as the number of neurons.

© 2007 Optical Society of America

OCIS Codes
(070.6110) Fourier optics and signal processing : Spatial filtering
(100.5010) Image processing : Pattern recognition
(120.6160) Instrumentation, measurement, and metrology : Speckle interferometry

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: May 1, 2007
Revised Manuscript: August 22, 2007
Manuscript Accepted: August 28, 2007
Published: October 11, 2007

Virtual Issues
Vol. 2, Iss. 11 Virtual Journal for Biomedical Optics

Citation
Chen Tang, Wenjing Lu, Song Chen, Zhen Zhang, Botao Li, Wenping Wang, and Lin Han, "Denoising by coupled partial differential equations and extracting phase by backpropagation neural networks for electronic speckle pattern interferometry," Appl. Opt. 46, 7475-7484 (2007)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-46-30-7475

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