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Automatic Extraction of Quadrilateral Patches from Triangulated Surfaces Using Morse Theory

Branch, John William, Flavio Prieto, and Pierre Boulanger

Proceedings, 16th International Meshing Roundtable, Springer-Verlag, pp.199-212, October 14-17 2007

IMR
PROCEEDINGS

16th International Meshing Roundtable
Seattle, Washington, U.S.A.
October 14-17, 2007

Escuela de Sistemas, Universidad Nacional de Colombia - Sede Medell¥in, Colombia jwbranch@unalmed.edu.co
Departamento de El¥ectrica, Electr¥onica y Computaci¥on, Universidad Nacional de Colombia - Sede Manizales, olombia faprietoo@unal.edu.co
Department of Computing Science, University of Alberta, Canada pierreb@cs.ualberta.ca

Abstract
A method for decompose the triangulated surface into quadrilateral patches using Morse theory and Spectral mesh analysis is proposed. The quadrilateral regions extracted are then regularized by means of geodesic curves and fitted using a B-splines creating a new grid on which NURBS surfaces can be fitted.

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