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Publications sur Gamma-convergence
Résultat de la recherche dans la liste des publications :
Article de conférence |
1 - A new variational method to detect points in biological images.
D. Graziani et L. Blanc-Féraud et G. Aubert. Dans ISBI'09, Org. IEEE International Symposium on Biomedical Imaging, Boston, USA, juin 2009.
Mots-clés : Images biologiques, points detection, Gamma-convergence.
@INPROCEEDINGS{GRAZIANI_ISBI2009,
|
| author |
= |
{Graziani, D. and Blanc-Féraud, L. and Aubert, G.}, |
| title |
= |
{A new variational method to detect points in biological images}, |
| year |
= |
{2009}, |
| month |
= |
{juin}, |
| booktitle |
= |
{ISBI'09}, |
| organization |
= |
{IEEE International Symposium on Biomedical Imaging}, |
| address |
= |
{Boston, USA}, |
| url |
= |
{http://dx.doi.org/10.1109/ISBI.2009.5193301}, |
| keyword |
= |
{Images biologiques, points detection, Gamma-convergence} |
| } |
Abstract :
We propose a new variational method to isolate points in biological images. As points are fine structures they are difficult to detect by derivative operators computed in the noisy image. In this paper we propose to compute a vector field from the observed intensity so that its divergence explodes at points. As the image could contains spots but also noise and curves where the divergence also blows up, we propose to capture spots by introducing suitable energy whose minimizers are given by the points we want to detect. In order to provide numerical experiments we approximate this energy by means of a sequence of more treatable functionals by a Gamma-convergence approach. Results are shown on synthetic and biological images. |
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Rapport de recherche et Rapport technique |
1 - A formal Gamma-convergence approach for the detection of points in 2-D images.
D. Graziani et L. Blanc-Féraud et G. Aubert. Rapport de Recherche 7038, INRIA, mai 2009.
Note : to appear Siam Journal of Imaging Science
Mots-clés : points detection, curvature-depending functionals, divergence-measure fields, Gamma-convergence, biological 2-D images.
@TECHREPORT{GRAZIANI_GAMMA_POINTS,
|
| author |
= |
{Graziani, D. and Blanc-Féraud, L. and Aubert, G.}, |
| title |
= |
{A formal Gamma-convergence approach for the detection of points in 2-D images}, |
| year |
= |
{2009}, |
| month |
= |
{mai}, |
| institution |
= |
{INRIA}, |
| type |
= |
{Research Report}, |
| number |
= |
{7038}, |
| note |
= |
{to appear Siam Journal of Imaging Science}, |
| url |
= |
{https://hal.inria.fr/inria-00418526}, |
| keyword |
= |
{points detection, curvature-depending functionals, divergence-measure fields, Gamma-convergence, biological 2-D images} |
| } |
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Rapport d'activité 2011
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