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Structured Grid Generation over NURBS and Facetted Surface Patches by Reparametrization

Gopalsamy, Sankarappan, Douglas H. Ross, Yasushi Ito and Alan M. Shih

Proceedings, 14th International Meshing Roundtable, Springer-Verlag, pp.287-300, September 11-14 2005

IMR
PROCEEDINGS

14th International Meshing Roundtable
San Diego, CA, USA
September 11-14, 2005

Enabling Technology Laboratory,
Mechanical Engineering Department
University of Alabama at Birmingham, AL, U.S.A.
{sgopals, dhross, yito, ashih}@uab.edu

Abstract
This paper deals with structured grid generation using Floaterís parametrization algorithm for surface triangulation. It gives an outline of the algorithm in the context of structured grid generation. Then it explains how the algorithm can be used to generate a structured grid over a singular NURBS surface patch. This is an alternate method to the known carpeting method of reparametrization for structured grid generation over a NURBS surface patch. The paper also explains how to generate a structured grid over a four sided trimmed patch of a facetted surface using the parametrization algorithm. All the procedures are explained using examples.

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