Abstract
Label images need a specific topological model to take into account not only the topologies of the regions but also the topology of the partition. We propose a framework for label images in which all the regions of the initial partition and of any coarser partition of the space can be explicitly represented. Some properties of the model are given and a local transformation that preserves the weak homotopy types of all the regions of all the partitions is defined.
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Mazo, L. (2012). A Framework for Label Images. In: Ferri, M., Frosini, P., Landi, C., Cerri, A., Di Fabio, B. (eds) Computational Topology in Image Context. Lecture Notes in Computer Science, vol 7309. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30238-1_1
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DOI: https://doi.org/10.1007/978-3-642-30238-1_1
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