Manipulating three-dimensional triangulations

  • Elisabetta Bruzzone
  • Leila De Floriani
  • Enrico Puppo
Multidimensional Data
Part of the Lecture Notes in Computer Science book series (LNCS, volume 367)

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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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Elisabetta Bruzzone
    • 1
  • Leila De Floriani
    • 1
  • Enrico Puppo
    • 1
  1. 1.Istituto per la Matematica Applicata Consiglio Nazionale delle RicercheGenovaItaly

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