Representing non-manifold geometric objects in n dimensions: incidence, order, and shape

Authors:
Abel J. P. Gomes
Affiliations:
Universidade da Beira Interior, Departamento de Informática, Covilhã, Portugal
Venue:
ISCGAV'06 Proceedings of the 6th WSEAS International Conference on Signal Processing, Computational Geometry & Artificial Vision
Year:
2006

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Abstract

B-Reps (Boundary Representations) represent geometric objects defined as stratified point sets. This paper extends boundary representations of non-manifold geometric objects to n-dimensional stratified objects possibly having incomplete boundaries. The proposed representation has given rise to a new geometric kernel called DiX (Data in Xtratus), having been derived from a mathematical model based on the subanalytic geometry and theory of stratifications. It may meet applications in computer aided design and manufacture, computer axial tomography, virtual reality, computer animation, etc.