Computational geometry-based scale-space and modal image decomposition: Application to light video-microscopy imaging

Anatole Chessel 1 Bertrand Cinquin 2, 3 Sabine Bardin 3 Jean Salamero 3, 4 Charles Kervrann 1
1 VISTAS - Spatio-Temporal Vision and Learning
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, Inria Rennes – Bretagne Atlantique
3 Mécanismes moléculaires du transport intracellulaire
CDC - Compartimentation et dynamique cellulaires
Abstract : In this paper a framework for defining scale-spaces, based on the computational geometry concepts of α-shapes, is proposed. In this approach, objects (curves or surfaces) of increasing convexity are com- puted by selective sub-sampling, from the original shape to its convex hull. The relationships with the Empirical Mode Decomposition (EMD), the curvature motion-based scale-space and some operators from math- ematical morphology, are studied. Finally, we address the problem of additive image/signal decomposition in fluorescence video-microscopy. An image sequence is mainly considered as a collection of 1D temporal signals, each pixel being associated with its temporal intensity variation.
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Internationale Conference on Scale Space and Variational Methods, Jun 2009, Voss, Norway. pp.770-781, 2009
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Anatole Chessel, Bertrand Cinquin, Sabine Bardin, Jean Salamero, Charles Kervrann. Computational geometry-based scale-space and modal image decomposition: Application to light video-microscopy imaging. Internationale Conference on Scale Space and Variational Methods, Jun 2009, Voss, Norway. pp.770-781, 2009. 〈hal-00794884〉

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