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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 16, Iss. 2 — Feb. 1, 1999
  • pp: 258–263

Application of Gabor transformation to the two-dimensional projection extraction in interferometric tomography

Wei Yao and Anzhi He  »View Author Affiliations


JOSA A, Vol. 16, Issue 2, pp. 258-263 (1999)
http://dx.doi.org/10.1364/JOSAA.16.000258


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Abstract

In interferometric tomography, two-dimensional projection extraction, i.e., wave-front retrieval from interferograms, is a critical step for a successful three-dimensional reconstruction. We analyze the difficulty of locating the first-order frequency spectrum—a difficulty inherent in interferogram phase unwrapping by means of the traditional Fourier transform. The problem becomes more serious when we deal with interferograms obtained in real experiments, which usually lack exactly parallel and equally spaced references. To overcome this difficulty, we propose the method of localized matching filtration with Gabor filters and apply it, for the first time to our knowledge, to interferogram phase demodulation. A multi-channel Gabor spatial filter set is constructed to yield the optimally matched local spatial frequency. The optimization is aimed at maximizing the L2(R2) norm of the output of the filters. At the same time, noise and opaque objects are removed. The method, applied to both simulated and real interferograms, proves to be more effective and more flexible than the conventional Fourier transformation method, especially in cases in which references are not equally spaced and fringes are seriously deformed.

© 1999 Optical Society of America

OCIS Codes
(070.2590) Fourier optics and signal processing : ABCD transforms
(100.0100) Image processing : Image processing
(100.2650) Image processing : Fringe analysis
(100.5070) Image processing : Phase retrieval
(100.6950) Image processing : Tomographic image processing
(110.2960) Imaging systems : Image analysis

Citation
Wei Yao and Anzhi He, "Application of Gabor transformation to the two-dimensional projection extraction in interferometric tomography," J. Opt. Soc. Am. A 16, 258-263 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-2-258

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