Curvature continuity between adjacent rational Bézier patches

DOI10.1016/0167-8396(92)90027-MzbMath0782.65016OpenAlexW2029088349MaRDI QIDQ1195759

Jianmin Zheng, Youdong Liang, Guo-zhao Wang

Publication date: 18 January 1993

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

Full work available at URL: https://doi.org/10.1016/0167-8396(92)90027-m

zbMATH Keywords

rational surfacescurvature continuityrational Bézier patches

Mathematics Subject Classification ID

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

Related Items

\(G^1\) continuity between toric surface patches ⋮ Geometric continuity between adjacent Bézier patches and their constructions ⋮ \(G^{2}\) interpolation of free form curve networks by biquintic Gregory patches ⋮ A generalised formulation of G-continuous Bezier elements applied to non-linear MHD simulations ⋮ Isogeometric boundary element analysis using unstructured T-splines ⋮ Conditions for geometric continuity between polynomial and rational surface patches ⋮ Constructions of \(G^{1}\) continuous joins of rational Bézier patches ⋮ \(GC^{n}\) continuity conditions for adjacent rational parametric surfaces

Cites Work

• Unnamed Item
• GC\({}^ 1\) continuity conditions between two adjacent rational Bézier surface patches
• Nonrectangular surface patches with curvature continuity
• Explicit continuity conditions for adjacent Bézier surface patches
• Visual continuity
• \(GC^ 1\) continuity conditions between adjacent rectangular and triangular Bézier surface patches
• Necessary and sufficient conditions for tangent plane continuity of Bézier surfaces
• A construction for visualC1 continuity of polynomial surface patches