On surface normal and Gaussian curvature approximations given data sampled from a smooth surface

@article{Meek2000OnSN,
title={On surface normal and Gaussian curvature approximations given data sampled from a smooth surface},
author={Dereck S. Meek and Desmond J. Walton},
journal={Computer Aided Geometric Design},
year={2000},
volume={17},
pages={521-543}
}

Approximations to the surface normal and to the Gaussian curvature of a smooth surface are often required when the surface is defined by a set of discrete points. The accuracy of an approximation can be measured using asymptotic analysis. The errors of several approximations to the surface normal and to the Gaussian curvature are compared. 2000 Elsevier Science B.V. All rights reserved.