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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


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

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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