A framework for label images

Authors:
Loïc Mazo
Affiliations:
LSIIT, UMR CNRS 7005, Université de Strasbourg, France
Venue:
CTIC'12 Proceedings of the 4th international conference on Computational Topology in Image Context
Year:
2012

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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.