A Formal $\Gamma$-Convergence Approach for the Detection of Points in 2-D Images

  • Authors:
  • Daniele Graziani;Laure Blanc-Féraud;Gilles Aubert

  • Affiliations:
  • Daniele.Graziani@sophia.inria.fr and Laure.Blanc;-;gaubert@unice.fr

  • Venue:
  • SIAM Journal on Imaging Sciences
  • Year:
  • 2010

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Abstract

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 more treatable functionals by means of the notion of $\Gamma$-convergence.