Smoothing of free-form surfaces with Bézier patches

DOI10.1016/0167-8396(94)00003-BzbMath0875.68839MaRDI QIDQ673480

Lizhuang Ma, Qun-Sheng Peng

Publication date: 28 February 1997

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

zbMATH Keywords

Bézier surfacesSmoothingCAGDGeometric continuityCAD/CGComputational geometry and object modeling---curve,surface, solid, and object representationsTransition surfaces

Mathematics Subject Classification ID

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

Related Items (4)

\(G^1\) continuity of four pieces of developable surfaces with Bézier boundaries ⋮ Bézier surfaces and finite elements for MHD simulations ⋮ Recursive \(G^{k}\) transformations between adjacent Bézier surfaces ⋮ \(G^1\) continuous conditions of biquartic B-spline surfaces

Cites Work

• Local smooth surface interpolation: A classification
• Surfaces in computer aided geometric design: A survey with new results
• Local surface interpolation with Bézier patches
• Geometric continuity and convex combination patches
• Geometric continuous patch complexes
• \(GC^ 1\) continuity conditions between adjacent rectangular and triangular Bézier surface patches
• Bicubic patches for approximating non-rectangular control-point meshes
• A construction for visualC1 continuity of polynomial surface patches
• Polyhedral subdivision methods for free-form surfaces
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