Title
A PDE formalization of retinex theory
Abstract
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 exact and fast implementation using only two FFTs. Several experiments on color images illustrate the effectiveness of the Retinex original theory.
Year
DOI
Venue
2010
10.1109/TIP.2010.2049239
IEEE Transactions on Image Processing
Keywords
Field
DocType
Color perception, FFT, PDE, Retinex theory, stochastic integral
Color constancy,Computer vision,Discrete Poisson equation,Human visual system model,A priori and a posteriori,Fast Fourier transform,Pixel,RGB color model,Artificial intelligence,Mathematics,Color image
Journal
Volume
Issue
ISSN
19
11
1057-7149
Citations 
PageRank 
References 
19
0.76
23
Authors
5
Name
Order
Citations
PageRank
Jean Michel Morel1190.76
Ana Belen Petro2685.36
Catalina Sbert336842.20
MorelJean Michel4190.76
PetroAna Belén5190.76