Digitization of Partitions and Tessellations

Abstract : We study hierarchies of partitions in a topological space where the interiors of the classes and their frontiers are simultaneously represented. In both continuous and discrete spaces our approach rests on tessellations whose classes are R-open sets. In the discrete case, the passage from partitions to tessellations is expressed by the Alexandrov topology and yields double resolutions. A new topology is proposed to remove the ambiguities of the diagonal configurations. It leads to the triangular grid in Z^2 and the centered cubic grid in Z^3 , which are the only translation invariant grids which preserve connectivity and permit the use of saliency functions.
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Communication dans un congrès
9th IAPR International Conference, DGCI 2016, Apr 2016, Nantes, France. Springer International Publishing, Discrete Geometry for Computer Imagery, Lecture Notes in Computer Science ( 9647), pp.323-334, 2016, 〈dgci2016.univ-nantes.fr/page/program〉. 〈10.1007/978-3-319-32360-2_25〉
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Contributeur : Bangalore Ravi Kiran <>
Soumis le : samedi 23 avril 2016 - 15:03:00
Dernière modification le : lundi 12 novembre 2018 - 10:59:58

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Jean Serra, Bangalore Ravi Kiran. Digitization of Partitions and Tessellations. 9th IAPR International Conference, DGCI 2016, Apr 2016, Nantes, France. Springer International Publishing, Discrete Geometry for Computer Imagery, Lecture Notes in Computer Science ( 9647), pp.323-334, 2016, 〈dgci2016.univ-nantes.fr/page/program〉. 〈10.1007/978-3-319-32360-2_25〉. 〈hal-01306414〉

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