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.
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© 1989 Springer-Verlag Berlin Heidelberg
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Bruzzone, E., De Floriani, L., Puppo, E. (1989). Manipulating three-dimensional triangulations. In: Litwin, W., Schek, HJ. (eds) Foundations of Data Organization and Algorithms. FODO 1989. Lecture Notes in Computer Science, vol 367. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51295-0_141
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DOI: https://doi.org/10.1007/3-540-51295-0_141
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