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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. 20, Iss. 1 — Jan. 1, 2003
  • pp: 56–66

Local correlations, information redundancy, and sufficient pixel depth in natural images

Yury Petrov and L. Zhaoping  »View Author Affiliations


JOSA A, Vol. 20, Issue 1, pp. 56-66 (2003)
http://dx.doi.org/10.1364/JOSAA.20.000056


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Abstract

A mathematical framework that permits the factorization of a joint probability distribution into its localized components for a two-dimensional array of pixels is presented. The factorization was used to estimate the contribution to mutual information of two- (I2) and three-pixel (I3) luminance correlations for a large ensemble of natural images analyzed at various spatial scales and pixel depths b. It is shown that both I2 and I3 saturate at b6 bits per pixel. Three-pixel correlations are shown to produce only a marginal increase of information redundancy (4%) over two-pixel correlations (50%). Implications for neural representation in visual cortex are discussed.

© 2003 Optical Society of America

OCIS Codes
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(110.2960) Imaging systems : Image analysis
(200.3050) Optics in computing : Information processing
(330.4270) Vision, color, and visual optics : Vision system neurophysiology

History
Original Manuscript: May 7, 2002
Revised Manuscript: July 19, 2002
Manuscript Accepted: August 1, 2002
Published: January 1, 2003

Citation
Yury Petrov and L. Zhaoping, "Local correlations, information redundancy, and sufficient pixel depth in natural images," J. Opt. Soc. Am. A 20, 56-66 (2003)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-1-56

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