In this chapter, we examine the empirical statistical properties of visual images within two fixed multi-scale bases, and describe two statistical models for the coefficients in these bases. The first is a non-Gaussian marginal model, previously described in [ Simoncelli96c]. The second is a joint non-Gaussian Markov model for wavelet subbands, previous versions of which have been described in [ Buccigrossi97, Simoncelli97b, Simoncelli97a]. We demonstrate the use of each of these models in Bayesian estimation of an image contaminated by additive Gaussian white noise. Warning: Undefined array key 2 in /System/Volumes/Data/e/1.3/p1/lcv/html_public/pubs/makeAbs.php on line 304
Image denoising using a scale mixture of Gaussians in the wavelet domain: Portilla03