POWELL–SABIN SPLINE WAVELETS

DOI10.1142/S0219691304000342zbMath1071.42027OpenAlexW1979317005MaRDI QIDQ5692245

Evelyne Vanraes, Jan Maes, Adhemar Bultheel

Publication date: 27 September 2005

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

Full work available at URL: https://doi.org/10.1142/s0219691304000342

zbMATH Keywords

waveletsstabilityliftingsubdivisionmultiresolutionPowell-Sabin splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Computer science aspects of computer-aided design (68U07) Numerical methods for wavelets (65T60) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17) Approximation by other special function classes (41A30)

Related Items (8)

Numerical solution of partial differential equations with Powell-Sabin splines ⋮ Powell-Sabin splines with boundary conditions for polygonal and non-polygonal domains ⋮ SURFACE COMPRESSION WITH HIERARCHICAL POWELL–SABIN B-SPLINES ⋮ On the stability of normalized Powell--Sabin B-splines ⋮ Quadratic spline quasi-interpolants on Powell-Sabin partitions ⋮ Local subdivision of Powell--Sabin splines ⋮ \(C^{1}\) hierarchical Riesz bases of Lagrange type on Powell-Sabin triangulations ⋮ Non-equispaced B-spline wavelets

Cites Work

• Regularity of multivariate refinable functions
• The Sobolev regularity of refinable functions
• Stabilised wavelet transforms for non-equispaced data smoothing
• Uniform Powell-Sabin spline wavelets
• The lifting scheme: A custom-design construction of biorthogonal wavelets
• Algorithms for surface fitting using Powell-Sabin splines
• Piecewise Quadratic Approximations on Triangles

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