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Publications about Gamma-convergence
Result of the query in the list of publications :
Conference article |
1 - A new variational method to detect points in biological images.
D. Graziani and L. Blanc-Féraud and G. Aubert. In ISBI'09, Org. IEEE International Symposium on Biomedical Imaging, Boston, USA, June 2009.
Keywords : Biological images, 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 |
= |
{June}, |
| booktitle |
= |
{ISBI'09}, |
| organization |
= |
{IEEE International Symposium on Biomedical Imaging}, |
| address |
= |
{Boston, USA}, |
| url |
= |
{http://dx.doi.org/10.1109/ISBI.2009.5193301}, |
| keyword |
= |
{Biological images, 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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Technical and Research Report |
1 - A formal Gamma-convergence approach for the detection of points in 2-D images.
D. Graziani and L. Blanc-Féraud and G. Aubert. Research Report 7038, INRIA, May 2009.
Note : to appear Siam Journal of Imaging Science
Keywords : 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 |
= |
{May}, |
| 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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