Titlebook: Computational Topology in Image Context; 4th International Wo Massimo Ferri,Patrizio Frosini,Barbara Fabio Conference proceedings 2012 Spri

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Deletion of (26,6)-Simple Points as Multivalued Retractions,ows to define topological notions, like retractions, in a far more realistic way than by using just single-valued digitally continuous functions. In particular, we have characterized the deletion of simple points in 2-D, one of the most important processing operations in digital topology, as a parti

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Triangle Mesh Compression and Homological Spanning Forests,e a huge amount of resources when they are stored, processed or transmitted. Therefore, many algorithms proposing an efficient compression of these meshes have been developed since the early 1990s. In this paper we propose a lossless method that compresses the connectivity of the mesh by using a val

configuration

Homology Computations via Acyclic Subspace,ocess large simplicial complexes. In this paper we present the acyclic subspace reduction algorithm adapted to simplicial complexes. It provides fast and memory efficient preprocessing of the given data. A variant of the method for distributed computations is also presented. As a result, Betti numbe