Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
Gaussian and mean curvatures of rational maps
Computer Aided Geometric Design
Curvature of singular Bézier curves and surfaces
Computer Aided Geometric Design
Challenges in computer applications for ship and floating structure design and analysis
Computer-Aided Design
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This note derives formulae for Gaussian and mean curvatures for rational Bézier surface patches. The formulae are expressed in terms of simple geometric quantities (lengths and areas) obtained from the control mesh. These formulae provide more geometric intuition and are easier to compute than the generic formulae from differential geometry. Both the tensor product and triangular patch cases are addressed.