Automatic construction of control triangles for subdivided Powell --- Sabin splines

DOI10.1016/j.cagd.2004.05.001zbMath1069.41508OpenAlexW2003029531MaRDI QIDQ2388587

Joris Windmolders, Adhemar Bultheel, Evelyne Vanraes, Paul Dierckx

Publication date: 14 September 2005

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2004.05.001

zbMATH Keywords

subdivisionCAGDnormalised B-splinesPowell --- Sabin splines

Mathematics Subject Classification ID

Multidimensional problems (41A63) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

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SURFACE COMPRESSION WITH HIERARCHICAL POWELL–SABIN B-SPLINES, Generalized \(C^1\) Clough-Tocher splines for CAGD and FEM, A B-spline basis for \(C^1\) quadratic splines on triangulations with a 10-split, Quadratic spline quasi-interpolants on Powell-Sabin partitions, Construction and analysis of cubic Powell-Sabin B-splines, Quasi-hierarchical Powell-Sabin B-splines, Effortless quasi-interpolation in hierarchical spaces, Superconvergent quadratic spline quasi-interpolants on Powell-Sabin partitions, \(\mathcal{C}^1\) cubic splines on Powell-Sabin triangulations, Powell-Sabin spline based multilevel preconditioners for the biharmonic equation, Local subdivision of Powell--Sabin splines, \(C^{1}\) hierarchical Riesz bases of Lagrange type on Powell-Sabin triangulations, A normalized representation of super splines of arbitrary degree on Powell-Sabin triangulations, Modeling sphere-like manifolds with spherical Powell-Sabin B-splines

Cites Work

• Subdivision of uniform Powell--Sabin splines
• On calculating normalized Powell-Sabin B-splines
• Uniform Powell-Sabin spline wavelets
• Piecewise Quadratic Approximations on Triangles