The Star-Topology: a topology for image analysis

Abstract : Our previous works in image analysis dealing with image representations by means of adjacency or boundary graphs, led us to the need for a coherent representation model. In fact, classical approaches to this problem seem to be unsuucient o r e v en uncoherentt for example they are unclear with the well-known connectivity paradox o r w i t h t h e b o r d e r description of regions. Diierent works like those of Kovalevsky, Herman and Malandain pointed out the advantages of cellular complex based topologies Kovalevsky89, Herman90, Malandain93]. But no one of them suggested a formalism that can be applied to any type of image. In this work we propose a topological representation for any type of image, colour or grey-level of whatever dimension. It is based on convex complexes, and looks closely at the elements realizing the connectivity within complexes and later within regions. Futhermore it remains coherent with pixel and voxel only based representations. An important feature is still maintaining a direct correspondance with the classical IR n topology. Finally, we suggest a characterization of regions, their borders and boundaries which is useful as a basic tool for segmentation.
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Communication dans un congrès
DGCI'05: 5th International Conference on Discrete Geometry for Computer Imagery, 1995, Clermont-Ferrand, France
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Ehoud Ahronovitz, Jean-Pierre Aubert, Christophe Fiorio. The Star-Topology: a topology for image analysis. DGCI'05: 5th International Conference on Discrete Geometry for Computer Imagery, 1995, Clermont-Ferrand, France. 〈lirmm-01168307〉

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