Parameterizing triangulated surfaces: methods and applications
Bruno Levy and Jean-Laurent Mallet. ( 1997 )
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, 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 . }, author = { Levy, Bruno AND Mallet, Jean-Laurent }, booktitle = { Proc. $15^{th}$ Gocad Meeting, Nancy }, title = { Parameterizing triangulated surfaces: methods and applications }, year = { 1997 } }