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

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https://doi.org/10.1007/b103124tions. We compute homology, using discrete Morse theory, and persistent homology of the Flag complex built from the point-cloud representing the input data. Since the space is high-dimensional, many difficulties appear. We describe how we tackle these problems and point out what challenges are still to be solved.
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https://doi.org/10.1007/b103124ce. 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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https://doi.org/10.1007/b103124umber 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.
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Computational Topology in Image Context978-3-642-30238-1Series ISSN 0302-9743 Series E-ISSN 1611-3349
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Culture: An action-theoretical definition,this paper we present a new implementation of the Guo & Hall algorithm [8] for skeletonizing images based on Cellular Automata. The implementation is performed in a real-time parallel way by using the GPU architecture. We show also some experiments of skeletonizing traffic signals which illustrates its possible use in real life problems.
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