\(GC^{n}\) continuity conditions for adjacent rational parametric surfaces

DOI10.1016/0167-8396(94)00005-DzbMath0872.65010OpenAlexW2026959341MaRDI QIDQ673977

Jianmin Zheng, Youdong Liang, Guo-zhao Wang

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)00005-d

zbMATH Keywords

rational surfacesgeometric continuityBézier patchesconnecting functionsparameter transformationtotal differential vectors

Mathematics Subject Classification ID

Computer science aspects of computer-aided design (68U07) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (4)

Geometric continuity between adjacent Bézier patches and their constructions ⋮ Computing all parametric solutions for blending parametric surfaces ⋮ Conditions for geometric continuity between polynomial and rational surface patches ⋮ \(G^1\) continuity conditions of adjacent NURBS surfaces

Cites Work

• GC\({}^ 1\) continuity conditions between two adjacent rational Bézier surface patches
• Explicit continuity conditions for adjacent Bézier surface patches
• Surfaces in computer aided geometric design: A survey with new results
• Some remarks on Bézier curves
• Geometric continuous patch complexes
• Visual continuity
• \(GC^ 1\) continuity conditions between adjacent rectangular and triangular Bézier surface patches
• Curvature continuity between adjacent rational Bézier patches
• Necessary and sufficient conditions for tangent plane continuity of Bézier surfaces
• A construction for visualC1 continuity of polynomial surface patches
• Rational continuity: parametric, geometric, and Frenet frame continuity of rational curves
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: \(GC^{n}\) continuity conditions for adjacent rational parametric surfaces