Variational approximation for detecting point-like target problems
ESAIM: Control, Optimisation and Calculus of Variations, Tome 17 (2011) no. 4, pp. 909-930.

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 Γ-convergence to the initial one.

DOI : 10.1051/cocv/2010029
Classification : 49J45, 49Q20
Mots-clés : points detection, biological images, divergence-measure fields, p-capacity, Γ-convergence 
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     title = {Variational approximation for detecting point-like target problems},
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Aubert, Gilles; Graziani, Daniele. Variational approximation for detecting point-like target problems. ESAIM: Control, Optimisation and Calculus of Variations, Tome 17 (2011) no. 4, pp. 909-930. doi : 10.1051/cocv/2010029. http://archive.numdam.org/articles/10.1051/cocv/2010029/

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