1 - A formal Gamma-convergence approach for the detection of points in 2-D biological images. D. Graziani et G. Aubert et L. Blanc-Féraud. SIAM Journal on Imaging Sciences, 3(3): pages 578-594, septembre 2010. Mots-clés : points detection, curvature-depending functionals, divergence-measure fields.
@ARTICLE{2,
|
author |
= |
{Graziani, D. and Aubert, G. and Blanc-Féraud, L.}, |
title |
= |
{A formal Gamma-convergence approach for the detection of points in 2-D biological images}, |
year |
= |
{2010}, |
month |
= |
{septembre}, |
journal |
= |
{SIAM Journal on Imaging Sciences}, |
volume |
= |
{3}, |
number |
= |
{3}, |
pages |
= |
{578-594}, |
url |
= |
{http://hal.inria.fr/inria-00503152/}, |
keyword |
= |
{points detection, curvature-depending functionals, divergence-measure fields} |
} |
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 a more treatable functionals by means of the notion of Gamma-convergence. |
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