Some remarks on geometric continuity of rational surface patches

DOI10.1016/0167-8396(92)90013-FzbMath0817.65013OpenAlexW2053674850MaRDI QIDQ1195074

Peter Wassum, Bert Jüttler

Publication date: 13 October 1992

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

Full work available at URL: https://doi.org/10.1016/0167-8396(92)90013-f

zbMATH Keywords

geometric continuitycomputer aided geometric designhyperconesrational Bézier surface patchesexplicit continuity conditionsexplicit representation of Bézier control points

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

• GC\({}^ 1\) continuity conditions between two adjacent rational Bézier surface patches
• Explicit continuity conditions for adjacent Bézier surface patches
• Some remarks on Bézier curves
• \(GC^ 1\) continuity conditions between adjacent rectangular and triangular Bézier surface patches
• Necessary and sufficient conditions for tangent plane continuity of Bézier surfaces
• Projectively invariant classes of geometric continuity for CAGD
• A construction for visualC1 continuity of polynomial surface patches
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