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

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0302-9743 discrete topology and geometry, geometrical modeling, algebraic topology for image applications, and any other field involving a geometric-topological approach to image processing.978-3-642-30237-4978-3-642-30238-1Series ISSN 0302-9743 Series E-ISSN 1611-3349

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Topological Operators on Cell Complexes in Arbitrary Dimensions,eserve the topology of the cell complex, or they modify it in a controlled way. We compare these operators with the existing ones proposed in the literature, in particular with handle operators and various Euler operators on 2D and 3D cell complexes.

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Multi-scale Approximation of the Matching Distance for Shape Retrieval,ce. The aim of the present paper is to introduce a new framework for the approximation of the matching distance, which does not affect the reliability of the entire approach in comparing shapes, and extremely reduces computational costs. This is shown through experiments on 3D-models.

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Persistent Homology for 3D Reconstruction Evaluation,umber of cameras used. In this paper, we compute persistent homology over the sequence of chain complexes obtained from the 3D outcomes with increasing number of cameras. This allows us to analyze the topological evolution of the reconstruction process, something which as far as we are aware has not been investigated to date.