Image denoising using scale mixtures of Gaussians in the wavelet domain
Portilla, J.
Strela, V.
Wainwright, M.J.
Simoncelli, E.P.
Dept. of Comput. Sci. & Artificial Intelligence, Univ. de Granada, Spain;
This paper appears in: Image Processing, IEEE Transactions on
Publication Date: Nov. 2003
Volume: 12,
Issue: 11
On page(s): 1338- 1351
ISSN: 1057-7149
INSPEC Accession Number: 7779811
Digital Object Identifier: 10.1109/TIP.2003.818640
Current Version Published: 2003-10-27
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.
Index
Terms
Available to subscribers and IEEE members.
References
Available to subscribers and IEEE members.
Citing Documents
Available to subscribers and IEEE members.
Cart
