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Publications sur Images biologiques
Résultat de la recherche dans la liste des publications :
2 Articles |
1 - Variational approximation for detecting point-like target problems.
D. Graziani et G. Aubert. COCV: Esaim Control Optimization and Calculus of Variations DOI: 10.1051/cocv/2010029, août 2010.
Mots-clés : points detection, Images biologiques, divergence-measure fields.
@ARTICLE{COCV2010,
|
| author |
= |
{Graziani, D. and Aubert, G.}, |
| title |
= |
{Variational approximation for detecting point-like target problems}, |
| year |
= |
{2010}, |
| month |
= |
{août}, |
| 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, Images biologiques, 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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2 - Detecting codimension-two objects in an image with Ginzburg-Landau models.
G. Aubert et J.F. Aujol et L. Blanc-Féraud. International Journal of Computer Vision, 65(1-2): pages 29-42, novembre 2005.
Mots-clés : Modele de Ginzburg-Landau, Detection de points, Segmentation, PDE, Images biologiques, Images SAR.
@ARTICLE{laure-ijcv05,
|
| author |
= |
{Aubert, G. and Aujol, J.F. and Blanc-Féraud, L.}, |
| title |
= |
{Detecting codimension-two objects in an image with Ginzburg-Landau models}, |
| year |
= |
{2005}, |
| month |
= |
{novembre}, |
| journal |
= |
{International Journal of Computer Vision}, |
| volume |
= |
{65}, |
| number |
= |
{1-2}, |
| pages |
= |
{29-42}, |
| pdf |
= |
{ftp://ftp-sop.inria.fr/ariana/Articles/GL_IJCV_5.pdf}, |
| keyword |
= |
{Modele de Ginzburg-Landau, Detection de points, Segmentation, PDE, Images biologiques, Images SAR} |
| } |
Abstract :
In this paper, we propose a new mathematical model for detecting in an image singularities of codimension greater than or equal to two. This means we want to detect points in a 2-D image or points and curves in a 3-D image. We drew one's inspiration from
Ginzburg-Landau (G-L) models which have proved their efficiency for modeling many phenomena in physics. We introduce the model, state its
mathematical properties and give some experimental results demonstrating its capability in image processing. |
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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 - Detecting Codimension-two Objects in an Image with Ginzburg-Landau Models.
G. Aubert et J.F. Aujol et L. Blanc-Féraud. Rapport de Recherche 5254, INRIA, France, juillet 2004.
Mots-clés : Modele de Ginzburg-Landau, Images biologiques, Segmentation, Equation aux derivees partielles.
@TECHREPORT{5254,
|
| author |
= |
{Aubert, G. and Aujol, J.F. and Blanc-Féraud, L.}, |
| title |
= |
{Detecting Codimension-two Objects in an Image with Ginzburg-Landau Models}, |
| year |
= |
{2004}, |
| month |
= |
{juillet}, |
| institution |
= |
{INRIA}, |
| type |
= |
{Research Report}, |
| number |
= |
{5254}, |
| address |
= |
{France}, |
| url |
= |
{https://hal.inria.fr/inria-00070744}, |
| pdf |
= |
{https://hal.inria.fr/file/index/docid/70744/filename/RR-5254.pdf}, |
| ps |
= |
{https://hal.inria.fr/docs/00/07/07/44/PS/RR-5254.ps}, |
| keyword |
= |
{Modele de Ginzburg-Landau, Images biologiques, Segmentation, Equation aux derivees partielles} |
| } |
Résumé :
Dans cet article, nous proposons a nouveau modèle mathématique pour détecter dans une image les singularités de codimension supérieure ou égale à deux. Cela signifie que nous voulons détecter des points dans des images 2-D, ou des points et des courbes dans des images 3-D. Nous nous inspirons des modèles de Ginzburg-Landau (GL). Ces derniers se sont révélés efficace pour modéliser de nombreux phénomènes physiques. Nous introduisons le modèle, nous énonçons ses propriétés mathématiques, et nous donnons des résultats expérimentaux illustrant les performances du modèle. |
Abstract :
In this paper, we propose a new mathematical model for detecting in an image singularities of codimension greater than or equal to two. This means we want to detect points in a 2-D image or points and curves in a 3-D image. We drew one's inspiration from Ginzburg-Landau (G-L) models which have proved their efficiency for modeling many phenomena in physics. We introduce the model, state its mathematical properties and give some experimental results demonstrating its capability. |
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