Abstract
The three-dimensional symmetric data structure is a topological model of a three-dimensional triangulation. It is a generalization of the symmetric structure proposed by Woo [Woo85] for describing the boundary of a solid object. In the paper, we present the basic topological elements of a 3D triangulation and their mutual relations. We describe the 3D symmetric structure and present structure accessing algorithms for retrieving those relations which are not explicitly encoded in the structure. Finally, a minimal set of primitive operators for building and manipulating a 3D triangulation are discussed. Such operators are independent of the underlying data structure.KeywordsDelaunay TriangulationConstant RelationAdjacency RelationDelaunay TesselationExtreme VertexThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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