Degenerate polynomial patches of degree 11 for almost \(GC^ 2\) interpolation over triangles

DOI10.1007/BF02113891zbMath0790.65008MaRDI QIDQ1315243

Bas J. Hogervorst, Ruud van Damme

Publication date: 23 June 1994

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

surfaces\(GC^ 2\) interpolation over trianglesdegenerate polynomial patchesquintic patchestriangular Bernstein-Bézier patches

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

Degenerate Bézier patches with continuous curvature, Curvature of singular Bézier curves and surfaces, Degenerate polynomial patches of degree 11 for almost \(GC^ 2\) interpolation over triangles, On degenerate surface patches

Cites Work

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• Local smooth surface interpolation: A classification
• \(GC^ 1\) continuity conditions between adjacent rectangular and triangular Bézier surface patches
• A practical guide to splines
• Degenerate polynomial patches of degree 11 for almost \(GC^ 2\) interpolation over triangles
• Polynomial approximation on tetrahedrons in the finite element method
• Construction of a VC1 interpolant over triangles via edge deletion