Variational approximation for detecting point-like target problems
Gilles Aubert, Daniele Graziani (2011)
ESAIM: Control, Optimisation and Calculus of Variations
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The aim of this paper is to provide a rigorous variational formulation for the detection of points in -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 -convergence to the initial one.