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

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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
Keywords: points detection, biological images, divergence-measure fields, p-capacity, Γ-convergence 
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     author = {Aubert, Gilles and Graziani, Daniele},
     title = {Variational approximation for detecting point-like target problems},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {909--930},
     publisher = {EDP-Sciences},
     volume = {17},
     number = {4},
     year = {2011},
     doi = {10.1051/cocv/2010029},
     mrnumber = {2859858},
     zbl = {1238.49024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv/2010029/}
}
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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

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