Image Restoration Using Gaussian Scale Mixtures in the Wavelet Domain

Javier Portilla , Eero P Simoncelli

Published in:
Proc. 10th IEEE Int'l Conf on Image Processing
Barcelona, Spain. September 2003.
© IEEE Computer Society.

Related full-length journal paper:    Image denoising using a scale mixture of Gaussians in the wavelet domain, Fall 2003.


We describe a statistical model for images decomposed in an overcomplete wavelet pyramid. Each neighborhood of pyramid coefficients is modeled as the product of a Gaussian vector of known covariance, and an independent hidden positive scalar random variable. We propose an efficient Bayesian estimator for the pyramid coefficients of an image degraded by linear distortion (e.g., blur) and additive Gaussian noise. We demonstrate the quality of our results in simulations over a wide range of blur and noise levels.
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