Bayesian signal restoration and Mumford-Shah functional |
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| Authors: | Tapio Helin Matti Lassas |
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| Affiliation: | Helsinki University of Technology, Institute of Mathematics, P.O.Box 1100, FI-02015 TKK, Finland |
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| Abstract: | 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) |
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