Statistical image modeling and processing using wavelet-domain hidden markov models

In this chapter, we study wavelet-domain hidden Markov models (HMMs) regarding both statistical image modeling and the application to various image processing problems. As prerequisites, image models often play important roles in many image processing applications. Specifically, a statistical image model regards an image as a realization of a certain probability model, and predicts a set of possible outcomes weighted by their likelihoods or probabilities. In this work, we are particularly interested in statistical image modeling and processing using the wavelet-domain HMMs proposed in Reference 1, where two major mathematical tools are involved, e.g., wavelets and HMMs.