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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. 17, Iss. 10 — Oct. 1, 2000
  • pp: 1744–1754

Theory of spatiochromatic image encoding and feature extraction

Andrew McCabe, Terry Caelli, Geoff West, and Adam Reeves  »View Author Affiliations


JOSA A, Vol. 17, Issue 10, pp. 1744-1754 (2000)
http://dx.doi.org/10.1364/JOSAA.17.001744


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Abstract

We consider how to interpret, filter, and cross-correlate complex-value color (hue and saturation) images by using a single discrete Fourier transform: the spatiochromatic discrete Fourier transform. The model defines new types of spatiochromatic oriented sinusoidal gratings, termed rainbow gratings, which encode the variation of color over space. We demonstrate how color-opponent detectors observed within the vertebrate visual system can be easily defined by linear filters within this representation. This model also allows us to filter and detect both spatial and chromatic patterns in images by using a single cross-correlation procedure. In doing so, we explore a new form of the Cauchy–Schwartz inequality applied to complex-valued scalar products. Results demonstrate the power of this form of spatiochromatic matched filtering in detecting signals embedded in such a significant amount of noise that they are not visible to the unaided human eye.

© 2000 Optical Society of America

OCIS Codes
(100.5010) Image processing : Pattern recognition
(330.1720) Vision, color, and visual optics : Color vision
(330.6110) Vision, color, and visual optics : Spatial filtering

History
Original Manuscript: April 21, 1999
Revised Manuscript: October 28, 1999
Manuscript Accepted: October 28, 1999
Published: October 1, 2000

Citation
Andrew McCabe, Terry Caelli, Geoff West, and Adam Reeves, "Theory of spatiochromatic image encoding and feature extraction," J. Opt. Soc. Am. A 17, 1744-1754 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-10-1744

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