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Image denoising using a scale mixture of Gaussians in the wavelet domain (2003)
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| Venue: | IEEE TRANS IMAGE PROCESSING |
| Citations: | 510 - 17 self |
BibTeX
@ARTICLE{Portilla03imagedenoising,
author = {Javier Portilla and Vasily Strela and Martin J. Wainwright and Eero P. Simoncelli},
title = {Image denoising using a scale mixture of Gaussians in the wavelet domain},
journal = {IEEE TRANS IMAGE PROCESSING},
year = {2003}
}
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Abstract
We describe a method for removing noise from digital images, based on a statistical model of the coefficients of an overcomplete multiscale oriented basis. Neighborhoods of coefficients at adjacent positions and scales are modeled as the product of two independent random variables: a Gaussian vector and a hidden positive scalar multiplier. The latter modulates the local variance of the coefficients in the neighborhood, and is thus able to account for the empirically observed correlation between the coefficient amplitudes. Under this model, the Bayesian least squares estimate of each coefficient reduces to a weighted average of the local linear estimates over all possible values of the hidden multiplier variable. We demonstrate through simulations with images contaminated by additive white Gaussian noise that the performance of this method substantially surpasses that of previously published methods, both visually and in terms of mean squared error.
Keyphrases
scale mixture wavelet domain gaussian vector adjacent position hidden positive scalar multiplier additive white gaussian noise possible value weighted average overcomplete multiscale statistical model observed correlation digital image local variance coefficient amplitude independent random variable local linear estimate hidden multiplier square estimate
