Parametrization and Smooth Approximation of Surface Triangulations

Computer Aided Geometric Design, Elsevier, Vol 14, pp.231-250, 1997

MESHING
RESEARCH
CORNER

Michael S. Floater
Departamento de Matematica Aplicada, Universidad de Zaragoza, Zaragoza, Spain

Abstract
A method based on graph theory is investigated for creating global parametrizations for surface triangulations for the purpose of smooth surface fitting. The parametrizations, which are planar triangulations, are the solutions of linear systems based on convex combinations. A particular parametrization, called shape-preserving, is found to lead to visually smooth surface approximations.