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Modélisation, Analyse, Représentation des Images Numériques Approche combinatoire de l’imagerie
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Modélisation, Analyse, Représentation des Images Numériques Approche combinatoire de l’imagerie

Christophe Fiorio
Habilitation à diriger des recherches, Université de Montpellier
26/11/2008

Résumé

combinatorial algorithms Digital image image processing digital topology region segmentation Combinatorial maps Cartes combinatoires Algorithmes combinatoires Segmentation d'images Topologie discrète Traitement d'images F.: Theory of Computation/F.2: ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY/F.2.2: Nonnumerical Algorithms and Problems/F.2.2.1: Computations on discrete structures F.: Theory of Computation/F.2: ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY/F.2.2: Nonnumerical Algorithms and Problems/F.2.2.2: Geometrical problems and computations G.: Mathematics of Computing/G.2: DISCRETE MATHEMATICS/G.2.1: Combinatorics/G.2.1.0: Combinatorial algorithms G.: Mathematics of Computing/G.2: DISCRETE MATHEMATICS/G.2.2: Graph Theory/G.2.2.0: Graph algorithms G.: Mathematics of Computing/G.2: DISCRETE MATHEMATICS/G.2.2: Graph Theory/G.2.2.1: Graph labeling I.: Computing Methodologies/I.2: ARTIFICIAL INTELLIGENCE/I.2.10: Vision and Scene Understanding/I.2.10.6: Representations, data structures, and transforms I.: Computing Methodologies/I.3: COMPUTER GRAPHICS/I.3.3: Picture/Image Generation/I.3.3.4: Line and curve generation I.: Computing Methodologies/I.4: IMAGE PROCESSING AND COMPUTER VISION/I.4.6: Segmentation/I.4.6.2: Region growing, partitioning
My research are focused on combinatorial image processing. My approach is to propose mathematical models to abstract physical reality. This abstraction allows to define new techniques leading to original solutions for some problems. In this context, I propose a topological model of image, regions segmentation based on statistical criteria and combinatorial algorithms, and a bound representation based on combinatorial maps.

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