Stable multiresolution analysis on triangles for surface compression

zbMath1112.65135MaRDI QIDQ871249

Jan Maes, Adhemar Bultheel

Publication date: 16 March 2007

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/127462

zbMATH Keywords

waveletsalgorithmRiesz basishierarchical basesa priori error boundPowell-Sabin splinessurface compressionmultiresulution analysisstable approximation by splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical methods for wavelets (65T60) Multidimensional problems (41A63) Spline approximation (41A15)

Related Items (8)

A new B-spline representation for cubic splines over Powell-Sabin triangulations ⋮ A B-spline basis for \(C^1\) quadratic splines on triangulations with a 10-split ⋮ Construction and analysis of cubic Powell-Sabin B-splines ⋮ Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations ⋮ A normalized basis for quintic Powell-Sabin splines ⋮ A normalized basis for reduced Clough-Tocher splines ⋮ Stability analysis of biorthogonal multiwavelets whose duals are not in \(L_2\) and its application to local semiorthogonal lifting ⋮ \(C^{1}\) hierarchical Riesz bases of Lagrange type on Powell-Sabin triangulations

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