An important problem in multiresolution analysis of signals and images consists in estimating continuous hidden random variables x = {x(s)} (s epsilon S) from observed ones y = {y(s)} (s epsilon S). This is done class...
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An important problem in multiresolution analysis of signals and images consists in estimating continuous hidden random variables x = {x(s)} (s epsilon S) from observed ones y = {y(s)} (s epsilon S). This is done classically in the context of hidden Markov trees (HMTs). In this note we deal with the recently introduced pairwise Markov trees (PMTs). We first show that PMTs are more general than HMTs. We then deal with the linear Gaussian case, and we extend from HMTs with independent noise (HMT-IN) to PMT a smoothing Kalman-like recursive estimation algorithm which was proposed by Chou et al., as well as an algorithm for computing the likelihood.
Digital Geometry Processing (DGP) is a newly emerging discipline which aims to build the mathematical and algorithmic foundations for the next generation of digital multimedia. Digital signal processing was highly suc...
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Digital Geometry Processing (DGP) is a newly emerging discipline which aims to build the mathematical and algorithmic foundations for the next generation of digital multimedia. Digital signal processing was highly successful for earlier generations of digital multimedia such as sound, image, and video. Now that 3D scanning technologies make sampled surfaces broadly available a similar apparatus is needed to deal with this new multimedia datatype. Due to the inherent curvature of such surfaces though traditional tools are not immediately applicable. In this paper we give a brief overview of some recent developments in subdivision surfaces and how these help to build a foundation for DGP algorithms. (C) 2002 Elsevier Science B.V. All rights reserved.
A challenging problem in oceanography is the dense estimation of the surface of the ocean in a statistically meaningful manner, given sparse and irregularly sampled measurements of the surface. A previously developed ...
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