Keywords
rational Bézier patches, Gaussian curvature, Mean curvature
Abstract
This note derives formulae for Gaussian and mean curvatures for tensor-product and triangular rational Bézier patches in terms of the respective control meshes. These formulae provide more geometric intuition than the generic formulae from differential geometry.
Original Publication Citation
Jianmin Zheng and T. W. Sederberg, "Gaussian and mean curvatures of rational Bezier patches," Computer Aided Geometric Design, 2, 6, pp. 297-31, 23.
BYU ScholarsArchive Citation
Sederberg, Thomas W. and Zheng, Jianmin, "Gaussian and Mean Curvatures of Rational Bézier Patches" (2003). Faculty Publications. 1055.
https://scholarsarchive.byu.edu/facpub/1055
Document Type
Peer-Reviewed Article
Publication Date
2003-03-07
Permanent URL
http://hdl.lib.byu.edu/1877/2542
Publisher
Elsevier
Language
English
College
Physical and Mathematical Sciences
Department
Computer Science
Copyright Status
© 2003 Elsevier. Original publication may be found at http://www.sciencedirect.com/science/journal/01678396.
Copyright Use Information
http://lib.byu.edu/about/copyright/