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Erschienen in:
1992 | OriginalPaper | Buchkapitel
Incidence Relationships: Kernel Concept in Combinatorical Topology
verfasst von : Yi Luo, Gábor Lukács
Erschienen in: Computer Graphics and Mathematics
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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In this paper we introduce the concept of incidence relationships in combinatorial topology and show that it is the counterpart concept of nearness in point set topology. Starting from the concept of incidence relationships, we investigate several problems in B-rep solid modelling, namely the mathematical models of solids, the representations of non-manifold solids, and the mathematical expressions for regularized Boolean operations on B-rep solid models.