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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

  • Editor: Stephen A. Burns
  • Vol. 22, Iss. 12 — Dec. 1, 2005
  • pp: 2613–2621

Mathematical definition and analysis of the Retinex algorithm

Edoardo Provenzi, Luca De Carli, Alessandro Rizzi, and Daniele Marini  »View Author Affiliations


JOSA A, Vol. 22, Issue 12, pp. 2613-2621 (2005)
http://dx.doi.org/10.1364/JOSAA.22.002613


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Abstract

We present a detailed mathematical analysis of the original Retinex algorithm due to Land and McCann [J. Opt. Soc. Am.61, 1 (1071)]. To this end, we propose an analytic formula that describes the algorithm behavior. More than one Retinex version (e.g., with and without threshold) is examined. The behavior of Retinex varying the number of paths is predicted, and its recursive iterations are mathematically analyzed using the formula. The mathematical setting presented serves as a common ground for the various Retinex implementations. Its validity is confirmed by the tests on images that we have performed.

© 2005 Optical Society of America

OCIS Codes
(100.2000) Image processing : Digital image processing
(100.2980) Image processing : Image enhancement
(100.3020) Image processing : Image reconstruction-restoration

ToC Category:
Image Processing

Citation
Edoardo Provenzi, Luca De Carli, Alessandro Rizzi, and Daniele Marini, "Mathematical definition and analysis of the Retinex algorithm," J. Opt. Soc. Am. A 22, 2613-2621 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-12-2613

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