A PDE Formalization of Retinex Theory

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A PDE Formalization of Retinex Theory
In 1964 Edwin H. Land formulated the Retinex theory, the first attempt to simulate and explain how the human visual system perceives color. His theory and an extension, the "reset Retinex" were further formalized by Land and McCann [1]. Several Retinex algorithms have been developed ever since. These color constancy algorithms modify the RGB values at each pixel to give an estimate of the color sensation without a priori information on the illumination. Unfortunately, the Retinex Land-McCann original algorithm is both complex and not fully specified. Indeed, this algorithm computes at each pixel an average of a very large set of paths on the image. For this reason, Retinex has received several interpretations and implementations which, among other aims, attempt to tune down its excessive complexity. In this paper, it is proved that if the paths are assumed to be symmetric random walks, the Retinex solutions satisfy a discrete Poisson equation. This formalization yields an exa...
Jean-Michel Morel, Ana Belen Petro, Catalina Sbert
Added 22 May 2011
Updated 22 May 2011
Type Journal
Year 2010
Where TIP
Authors Jean-Michel Morel, Ana Belen Petro, Catalina Sbert
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