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Titlebook: Discrete Geometry for Computer Imagery; 8th International Co Gilles Bertrand,Michel Couprie,Laurent Perroton Conference proceedings 1999 Sp

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https://doi.org/10.1057/978-1-137-50057-1epresents simple and multiple adjacencies, inclusion of regions, as well as the frontier type between two adjacent regions. An algorithm computing a border map, linear to the number of elements of an image, is defined in 2D, then generalized in 3D and in .D.
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Border Map: A Topological Representation for ,D Image Analysisepresents simple and multiple adjacencies, inclusion of regions, as well as the frontier type between two adjacent regions. An algorithm computing a border map, linear to the number of elements of an image, is defined in 2D, then generalized in 3D and in .D.
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https://doi.org/10.1007/978-3-663-01498-0is based on a multiresolution structure. The shape is hierarchically decomposed according to local thickness. A merging process is introduced for merging of small components to more significant parts. As a side effect of the algorithm, we also obtain a way of smoothing noisy shapes.
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