document: Multiresolution Markov models for signal and image processing Reviews a significant component of the rich field of statistical multiresolution -LRB- MR -RRB- modeling and processing . These MR methods have found application and permeated the literature of a widely scattered set of disciplines , and one of our principal objectives is to present a single , coherent picture of this framework . A second goal is to describe how this topic fits into the even larger field of MR methods and concepts-in particular , making ties to topics such as wavelets and multigrid methods . A third goal is to provide several alternate viewpoints for this body of work , as the methods and concepts we describe intersect with a number of other fields . The principle focus of our presentation is the class of MR Markov processes defined on pyramidally organized trees . The attractiveness of these models stems from both the very efficient algorithms they admit and their expressive power and broad applicability . We show how a variety of methods and models relate to this framework including models for self-similar and 1/f processes . We also illustrate how these methods have been used in practice
doc_bio_tags: B I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B O B I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O
extractive_keyphrases: multiresolution markov models wavelets multigrid methods pyramidally organized trees
abstractive_keyphrases: statistical multiresolution modeling self-similar processes 1/f processes