8481 articles  [version française]

inria-00403232, version 3

Variational approximation for a functional governing point-like singularities

Daniele Graziani () 1, Gilles Aubert () a, 2

N° RR-7095 (2009)

Abstract: The aim of this report is to provide a variational formulation for the detection of points in $2$-d biological images. To this purpose we introduce a new functional of the calculus of variation whose minimizers gives the points we want to detect. Then we build an approximating sequence of functional, for which we prove the $\Gamma$-convergence to the initial one.

  • a –  Université de Nice Sophia-Antipolis
  • 1:  ARIANA (INRIA Sophia Antipolis / Laboratoire I3S)
  • INRIA – Université Nice Sophia Antipolis [UNS] – CNRS : UMR7271
  • 2:  Laboratoire Jean Alexandre Dieudonné (JAD)
  • CNRS : UMR6621 – Université Nice Sophia Antipolis [UNS]
 
  • inria-00403232, version 3
  • http://hal.inria.fr/inria-00403232
  • oai:hal.inria.fr:inria-00403232
  • From: Daniele Graziani <>
  • Submitted on: Monday, 16 November 2009 09:09:48
  • Updated on: Monday, 16 November 2009 09:21:43