An implementation of triangular B-spline surfaces over arbitrary triangulations

DOI10.1016/0167-8396(93)90041-ZzbMath0781.65010OpenAlexW1999338367MaRDI QIDQ687459

Hans-Peter Seidel, Philip W. L. Fong

Publication date: 25 October 1993

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

Full work available at URL: https://doi.org/10.1016/0167-8396(93)90041-z

zbMATH Keywords

blending functionsconvex hull propertyblossomingcontrol vertices\(B\)-spline surfacestriangular \(B\)-spline scheme

Mathematics Subject Classification ID

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

Related Items (7)

Triangular NURBS and their dynamic generalizations ⋮ Multidimensional spline integration of scattered data ⋮ A surface modeling method based on the envelope template ⋮ Reproducing kernel triangular B-spline-based FEM for solving PDEs ⋮ On local approximation methods for multivariate polynomial spline surfaces ⋮ The apolar bilinear form in geometric modeling ⋮ Unnamed Item

Cites Work

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• Approximation and geometric modeling with simplex B-splines associated with irregular triangles
• Symmetric recursive algorithms for surfaces: B-patches and the de Boor algorithm for polynomials over triangles
• Blossoms are polar forms
• The Stable Evaluation of Multivariate Simplex Splines
• Multivariate Splines
• On the Linear Independence of Multivariate B-Splines, I. Triangulations of Simploids
• Blossoming Begets B-Spline Bases Built Better by B-Patches

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