Recursive \(G^{k}\) transformations between adjacent Bézier surfaces

DOI10.1016/0167-8396(94)00019-OzbMath0875.68849OpenAlexW1997166138MaRDI QIDQ672473

Lizhuang Ma, Qun-Sheng Peng

Publication date: 28 February 1997

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

Full work available at URL: https://doi.org/10.1016/0167-8396(94)00019-o

zbMATH Keywords

Bézier surfaceCAGDGeometric continuitySurface modeling

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Cites Work

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• A survey of curve and surface methods in CAGD
• Geometric continuity and convex combination patches
• Geometric continuous patch complexes
• \(GC^ 1\) continuity conditions between adjacent rectangular and triangular Bézier surface patches
• Necessary and sufficient conditions for tangent plane continuity of Bézier surfaces
• \(G^{n-1}\)-functional splines for interpolation and approximation of curves, surfaces and solids
• A construction for visualC1 continuity of polynomial surface patches
• Equidistant Smoothing of Polyhedra with Arbitrary Topologies

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