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Shape Operator Metric for Surface NormalApproximation

Canas, Guillermo D. and Steven J. Gortler

Proceedings, 18th International Meshing Roundtable, Springer-Verlag, pp.447-461, October 25-28 2009

IMR
PROCEEDINGS

18th International Meshing Roundtable
Salt Lake City, UT, USA.
October 25-28, 2009

School of Engineering and Applied Sciences
Harvard University
33 Oxford St. Cambridge, MA
{gdiez,sjg}@seas.harvard.edu

Abstract
This work deals with the problem of practical mesh generation for surface normal approximation. Part of its contribution is in presenting previous work in a unified framework. A new algorithm for surface normal approximation is then introduced which improves upon existing ones in a number of aspects. In particular, it produces better approximations of surfaces both in practice and in the theoretical limit regime. Additionally, it resolves in a simple way some of the problems that previous methods for surface approximation suffered from.

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