On surface normal and Gaussian curvature approximations given data sampledfrom a smooth surface

Authors
Meek, DS Walton, DJ
Citation
Ds. Meek et Dj. Walton, On surface normal and Gaussian curvature approximations given data sampledfrom a smooth surface, COMP AID G, 17(6), 2000, pp. 521-543
Citations number
24
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTER AIDED GEOMETRIC DESIGN
ISSN journal
01678396 → ACNP
Volume
17
Issue
6
Year of publication
2000
Pages
521 - 543
Database
ISI
SICI code
0167-8396(200007)17:6<521:OSNAGC>2.0.ZU;2-7
Abstract
Approximations to the surface normal and to the Gaussian curvature of a smo oth surface are often required when the surface is defined by a set of disc rete points. The accuracy of an approximation can be measured using asympto tic analysis. The errors of several approximations to the surface normal an d to the Gaussian curvature are compared. (C) 2000 Elsevier Science B.V. Al l rights reserved.