A formal Gamma-convergence approach for the detection of points in 2-D images

Daniele Graziani (1) , Laure Blanc-Féraud (1) , Gilles Aubert (2)

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

We propose a new variational model to locate points in 2-dimensional biological images. To this purpose we introduce a suitable functional whose minimizers are given by the points we want to detect. In order to provide numerical experiments we replace this energy with a sequence of a more treatable functionals by means of the notion of \Gamma-convergence.

Domaines: Traitement des images [eess.IV]

Daniele Graziani, Laure Blanc-Féraud, Gilles Aubert. A formal Gamma-convergence approach for the detection of points in 2-D images. SIAM Journal on Imaging Sciences, 2010. ⟨inria-00503152⟩