Closed surfaces defined from biquadratic splines

DOI10.1007/BF01888151zbMath0732.41010OpenAlexW2048516151MaRDI QIDQ808349

Tim N. T. Goodman

Publication date: 1991

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01888151

zbMATH Keywords

matching conditionsclosed surfacebicubic polynomialsbiquadratic B-splinerectangular patch complex

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items

A \(G^ 1\) triangular spline surface of arbitrary topological type ⋮ Curvature continuous spline surfaces over irregular meshes ⋮ g-splines ⋮ A refinable space of smooth spline surfaces of arbitrary topological genus ⋮ RAGS: rational geometric splines for surfaces of arbitrary topology ⋮ Minimal energy surfaces using parametric splines ⋮ Biquadratic G-spline surfaces ⋮ Joining smooth patches around a vertex to form a \(C^ k\) surface ⋮ Smooth free-form surfaces over irregular meshes generalizing quadratic splines ⋮ Local smooth surface interpolation: A classification ⋮ Local bases of \(G^{2}\) continuous G-splines

Cites Work

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• Geometric continuity and convex combination patches
• Bicubic patches for approximating non-rectangular control-point meshes
• Conditions for tangent plane continuity over recursively generated B-spline surfaces

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