Computational Geometry-Based Scale-Space and Modal Image Decomposition

Authors:
Anatole Chessel;Bertrand Cinquin;Sabine Bardin;Jean Salamero;Charles Kervrann
Affiliations:
INRIA Rennes,;UMR 144 CNRS-Institut Curie, and Soleil Synchrotron,;UMR 144 CNRS-Institut Curie,;UMR 144 CNRS-Institut Curie, and PICT-IBiSA Institut Curie,;INRIA Rennes, and INRA-MIA,
Venue:
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Year:
2009

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Abstract

In this paper a framework for defining scale-spaces, based on the computational geometry concepts of *** -shapes, is proposed. In this approach, objects (curves or surfaces) of increasing convexity are computed 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 mathematical 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.