Abstract : We propose a new variational model to isolate points in a $2$-dimensional image. 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.
https://hal.inria.fr/inria-00418526 Contributor : Daniele GrazianiConnect in order to contact the contributor Submitted on : Saturday, September 19, 2009 - 4:41:35 PM Last modification on : Thursday, February 3, 2022 - 11:15:56 AM Long-term archiving on: : Tuesday, June 15, 2010 - 7:55:23 PM
Daniele Graziani, Laure Blanc-Féraud, Gilles Aubert. A formal $\Gamma$-convergence approach for the detection of points in $2$-D images. [Research Report] RR-7038, INRIA. 2009, pp.25. ⟨inria-00418526⟩