Constructions of \(G^{1}\) continuous joins of rational Bézier patches

DOI10.1016/0167-8396(94)00014-JzbMath0875.68836OpenAlexW1999883429MaRDI QIDQ673486

Przemysław Kiciak

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)00014-j

zbMATH Keywords

Bézier curves\(G^{1}\) continuity of joinsRational Bézier patches

Mathematics Subject Classification ID

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

Related Items (6)

\(G^1\) continuity between toric surface patches ⋮ Geometric continuity between adjacent Bézier patches and their constructions ⋮ \(G^1\) continuity of four pieces of developable surfaces with Bézier boundaries ⋮ Bézier surfaces and finite elements for MHD simulations ⋮ Conditions for geometric continuity between polynomial and rational surface patches ⋮ Computing normal vector Bézier patches

Cites Work

• Unnamed Item
• GC\({}^ 1\) continuity conditions between two adjacent rational Bézier surface patches
• Explicit continuity conditions for adjacent Bézier surface patches
• A survey of curve and surface methods in CAGD
• Curvature continuity between adjacent rational Bézier patches
• Visually smooth composite surfaces for an unevenly spaced 3D data array
• Necessary and sufficient conditions for tangent plane continuity of Bézier surfaces
• Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems

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