Parameterizing triangulated surfaces: methods and applications

in: Proc. $15^{th}$ Gocad Meeting, Nancy

Abstract

In this paper , we present new methods that allow to construct a global parameterization of a triangulated surface. A global parameterization, or a mapping of a surface is defined as a Qne-t o-one t ransform that maps the considered surface to the unit square [0, 1] x [0, 1] of R' . Such m.pping functions may be applied to a large spectrum of problems, comprising properties modelling, mesh beautifying and curvilinear grids generation . This paper is organized in two parts. The first part presents t he mathematical theory, while the second part fae tises on several applications of t he met hod .

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    BibTeX Reference

    @INPROCEEDINGS{Levy97GM,
        author = { Levy, Bruno and Mallet, Jean-Laurent },
         title = { Parameterizing triangulated surfaces: methods and applications },
     booktitle = { Proc. $15^{th}$ Gocad Meeting, Nancy },
          year = { 1997 },
      abstract = { In this paper , we present new methods that allow to construct a global parameterization
    of a triangulated surface. A global parameterization, or a mapping of a surface is
    defined as a Qne-t o-one t ransform that maps the considered surface to the unit square
    [0, 1] x [0, 1] of R' . Such m.pping functions may be applied to a large spectrum
    of problems, comprising properties modelling, mesh beautifying and curvilinear grids
    generation . This paper is organized in two parts. The first part presents t he mathematical
    theory, while the second part fae tises on several applications of t he met hod . }
    }