Curve and Surface Reconstruction in R2 and R3

  • Authors:
  • Martin Glanvill;Kevin Broughan

  • Affiliations:
  • -;-

  • Venue:
  • HPC-ASIA '97 Proceedings of the High-Performance Computing on the Information Superhighway, HPC-Asia '97
  • Year:
  • 1997

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Abstract

A key problem in Computer Aided Design, Finite Element mesh generation and manufacturing is to construct a surface which passes through a given set of points in R3, and which might satisfy other properties. The points could result from measurements taken from a model of a car boat body or a person's skull. In this paper, implementations of algorithms due to Fortune and O'Rourke which solve the corresponding problem for simple curves enclosing simply-connected regions in R2 using the Voronoi Diagram, are described. These concepts and ideas are extended to R3.