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Publications about points detection
Result of the query in the list of publications :
2 Articles |
1 - A formal Gamma-convergence approach for the detection of points in 2-D biological images.
D. Graziani and G. Aubert and L. Blanc-Féraud. SIAM Journal on Imaging Sciences, 3(3): pages 578-594, September 2010.
Keywords : 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 |
= |
{September}, |
| 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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2 - Variational approximation for detecting point-like target problems.
D. Graziani and G. Aubert. COCV: Esaim Control Optimization and Calculus of Variations DOI: 10.1051/cocv/2010029, August 2010.
Keywords : points detection, Biological images, divergence-measure fields.
@ARTICLE{COCV2010,
|
| author |
= |
{Graziani, D. and Aubert, G.}, |
| title |
= |
{Variational approximation for detecting point-like target problems}, |
| year |
= |
{2010}, |
| month |
= |
{August}, |
| journal |
= |
{COCV: Esaim Control Optimization and Calculus of Variations DOI: 10.1051/cocv/2010029}, |
| url |
= |
{http://dx.doi.org/10.1051/cocv/2010029}, |
| keyword |
= |
{points detection, Biological images, divergence-measure fields} |
| } |
Abstract :
The aim of this paper is to provide a rigorous variational formulation for the detection of points in 2-d biological images. To this purpose we introduce a new functional whose minimizers give the points we want to detect. Then we define an approximating sequence of functionals for which we prove the Γ-convergence to the initial one. |
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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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