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Bayesian signal restoration and Mumford‐Shah functional
Author(s) -
Helin Tapio,
Lassas Matti
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700455
Subject(s) - signal (programming language) , limit (mathematics) , bayesian probability , computer science , algorithm , mathematics , artificial intelligence , mathematical analysis , programming language
We introduce a Bayesian signal restoration method which extracts jumps from a periodical signal. The maximum a posterior estimate of the model problem equals to a minimiser of a functional that Γ‐converges to the Mumford‐Shah functional. Furthermore, the behaviour of the approximative model in the infinite‐dimensional limit is discussed in more detail. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)