SURFACE COMPRESSION WITH HIERARCHICAL POWELL–SABIN B-SPLINES

DOI10.1142/S0219691306001154zbMath1092.41005MaRDI QIDQ5291387

Jan Maes, Adhemar Bultheel

Publication date: 10 May 2006

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

zbMATH Keywords

Powell-Sabin splinesPowell-Sabin splitsurface compressionstable approximation by splineshierachical bases

Mathematics Subject Classification ID

Spline approximation (41A15) Algorithms for approximation of functions (65D15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (max. 100)

On the Local Approximation Power of Quasi-Hierarchical Powell-Sabin Splines ⋮ \(C^{1}\) hierarchical Riesz bases of Lagrange type on Powell-Sabin triangulations ⋮ Polar forms and quadratic spline quasi-interpolants on Powell-Sabin partitions

Cites Work

• On the stability of normalized Powell--Sabin B-splines
• On the approximation power of bivariate splines
• On calculating normalized Powell-Sabin B-splines
• Surface compression using a space of \(C^1\) cubic splines with a hierarchical basis
• Automatic construction of control triangles for subdivided Powell --- Sabin splines
• Bounds for a class of linear functionals with applications to Hermite interpolation
• Piecewise Quadratic Approximations on Triangles
• Macro-elements and stable local bases for splines on Powell-Sabin triangulations
• POWELL–SABIN SPLINE WAVELETS

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