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divergence-measure fields

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Variational approximation for detectingpoint-like target problems *
Gilles Aubert, Daniele Graziani
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 17 / Issue 4 / October 2011

Published online by Cambridge University Press:

06 August 2010, pp. 909-930

Print publication:

October 2011
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The aim of this paper is to provide a rigorous variational formulation forthe detection of points in 2-d biological images. To this purposewe introduce a new functional whose minimizers give the points we want to detect. Then we define an approximating sequence of functionals forwhich we prove the Γ-convergence to the initial one.