On the modeling of the wavelet image coefficients using a symmetric generalized hyperbolic PDF

M. I. H. Bhuiyan, M. Omair Ahmad, M. N. S. Swamy · Conference proceedings · 2007

Appropriate modelling of the wavelet image coefficients is very important for developing efficient methods for wavelet-based image processing tasks such as compression and denoising. In this paper, we introduce the symmetric generalized hyperbolic probability density function (PDF) as a suitable prior for modelling the distribution of the wavelet image coefficients. A simple moment-based method is presented to estimate the parameters of the proposed PDF, and the effectiveness of the proposed method for parameter estimation studied using Monte-Carlo simulations. The appropriateness of the SGH density as a prior PDF is also demonstrated.

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