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Applied Optics

Applied Optics


  • Vol. 42, Iss. 8 — Mar. 10, 2003
  • pp: 1426–1433

Phase-only filtering on the three-dimensional Fourier spectrum of color images

Josep Nicolás, Ignacio Moreno, Juan Campos, and María J. Yzuel  »View Author Affiliations

Applied Optics, Vol. 42, Issue 8, pp. 1426-1433 (2003)

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We propose what is to our knowledge a novel technique for filtering a two-dimensional multichannel color image based on its interpretation as a three-dimensional (3D) signal and the application of a 3D Fourier transform. The color image is considered to have the two usual spatial coordinates with the color distribution as the third dimension of the signal. This approach permits the 3D generalization of the usual phase-only filter and phase correlation, and color pattern recognition can be performed by means of a 3D correlation. We analyze two cases: whitening only along the color Fourier spectrum and whitening the whole 3D Fourier spectrum. We study the transformation induced in the color content of the image by the whitening of the color Fourier spectrum and how it affects the correlation distribution. In particular it is demonstrated that the whitening of the 3D Fourier spectrum improves the recognition performance of the correlation.

© 2003 Optical Society of America

OCIS Codes
(070.2590) Fourier optics and signal processing : ABCD transforms
(070.5010) Fourier optics and signal processing : Pattern recognition
(070.6110) Fourier optics and signal processing : Spatial filtering
(100.2000) Image processing : Digital image processing
(100.5010) Image processing : Pattern recognition
(100.5090) Image processing : Phase-only filters

Original Manuscript: May 24, 2002
Revised Manuscript: September 30, 2002
Published: March 10, 2003

Josep Nicolás, Ignacio Moreno, Juan Campos, and María J. Yzuel, "Phase-only filtering on the three-dimensional Fourier spectrum of color images," Appl. Opt. 42, 1426-1433 (2003)

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