An intuitive explanation of third-order surface behavior

DOI10.1016/j.cagd.2009.11.003zbMath1210.65061OpenAlexW2102247669MaRDI QIDQ631012

Pushkar Joshi, Carlo H. Séquin

Publication date: 22 March 2011

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2009.11.003

zbMATH Keywords

parameterizationsurface interrogationgraphical examplescurvature derivativehigher-order surface behaviorthird-order shape analysis

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Uses Software

• SingSurf

Cites Work

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• \(G^{2}\) surface modeling using minimal mean-curvature-variation flow
• Umbilics and lines of curvature for shape interrogation
• Invariant smoothness measures for surfaces
• Constructing invariant fairness measures for surfaces
• Umbilic points on Gaussian random surfaces

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