Variational approximation for detecting point-like target problems

Gilles Aubert 1 Daniele Graziani 2
2 ARIANA - Inverse problems in earth monitoring
CRISAM - Inria Sophia Antipolis - Méditerranée , Laboratoire I3S - SIS - Signal, Images et Systèmes
Abstract : The aim of this paper is to provide a rigorous variational formulation for the detection of points in $2$-d biological images. To this purpose we introduce a new functional whose minimizers give the points we want to detect. Then we define an approximating sequence of functionals for which we prove the Gamma-convergence to the initial one.
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Submitted on : Friday, July 16, 2010 - 4:57:55 PM
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Gilles Aubert, Daniele Graziani. Variational approximation for detecting point-like target problems. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2010, 23p. ⟨inria-00503157⟩

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