Variational approximation for detecting point-like target problems

Gilles Aubert (1) , Daniele Graziani (2)

1 JAD - Laboratoire Jean Alexandre Dieudonné
2 ARIANA - Inverse problems in earth monitoring

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.

Domaines: Traitement des images [eess.IV]

Gilles Aubert, Daniele Graziani. Variational approximation for detecting point-like target problems. ESAIM: Control, Optimisation and Calculus of Variations, 2010, 23p. ⟨inria-00503157⟩