Filter bank algorithms for piecewise linear prewavelets on arbitrary triangulations

DOI10.1016/S0377-0427(00)00378-2zbMath0962.65120OpenAlexW1982118128MaRDI QIDQ1576457

Michael S. Floater, Ewald G. Quak, Martin Reimers

Publication date: 31 May 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00378-2

zbMATH Keywords

splinesdecompositionnumerical examplescondition numbertriangulationsthresholdingSchur complementsreconstructionprewaveletsfilter bank algorithmswavelets space

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (2)

Locally supported rational spline wavelets on a sphere ⋮ Piecewise linear approximations of multivariate functions: A multiresolution-based compression algorithm suitable for circuit implementation

Cites Work

• On the multi-level splitting of finite element spaces
• Piecewise linear prewavelets on arbitrary triangulations
• Multiresolution analysis over triangles, based on quadratic Hermite interpolation
• Scattered Data Interpolation: Tests of Some Method
• Linear Independence and Stability of Piecewise Linear Prewavelets on Arbitrary Triangulations
• Macro-elements and stable local bases for splines on Powell-Sabin triangulations
• Methods of conjugate gradients for solving linear systems
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