rational Bézier patches, Gaussian curvature, Mean curvature
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). All Faculty Publications. 1055.
Physical and Mathematical Sciences
© 2003 Elsevier. Original publication may be found at http://www.sciencedirect.com/science/journal/01678396.
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