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Different Combinatorial Models based on the Map Concept for the Representation of Subsets of Cellular Complexes

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Part of the book series: IFIP Series on Computer Graphics ((IFIP SER.COMP.))

Abstract

N-dimensional chains of maps, or n-chains, is a combinatorial model defined for representing the topology of cellular complexes. In this paper, we deduce from n-chains specialized combinatorial models for the representation of subsets of cellular complexes. Operations for handling these models are deduced from operations defined for handling n-chains. After generalization and systemization, we think that this study can be used in order to define the kernel of a geometric modeler, not based upon a single combinatorial model, but upon a set of combinatorial models. This can be very useful when simultaneously handling different subsets of cellular complexes.

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© 1993 Springer-Verlag Berlin Heidelberg

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Elter, H., Lienhardt, P. (1993). Different Combinatorial Models based on the Map Concept for the Representation of Subsets of Cellular Complexes. In: Falcidieno, B., Kunii, T.L. (eds) Modeling in Computer Graphics. IFIP Series on Computer Graphics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78114-8_12

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  • DOI: https://doi.org/10.1007/978-3-642-78114-8_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-78116-2

  • Online ISBN: 978-3-642-78114-8

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