Construction of wavelets and prewavelets over triangulations

DOI10.1016/S0377-0427(02)00894-4zbMath1024.42013MaRDI QIDQ1811612

Don Hong, Douglas P. Hardin

Publication date: 17 June 2003

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

zbMATH Keywords

piecewise polynomialsprewavelets over triangulation

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (5)

Uniformly stable wavelets on nonuniform triangulations ⋮ Piecewise linear prewavelets over type-2 triangulations ⋮ Quadratic stable wavelet bases on general meshes ⋮ $C^1$ spline wavelets on triangulations ⋮ Bivariate \(C^1\) cubic spline space over a nonuniform type-2 triangulation and its subspaces with boundary conditions

Uses Software

• PWTri

Cites Work

• Wavelets and pre-wavelets in low dimensions
• Piecewise linear prewavelets on arbitrary triangulations
• Compactly supported, piecewise affine scaling functions on triangulations
• Multiresolution analysis over triangles, based on quadratic Hermite interpolation
• On the construction of multivariate (pre)wavelets
• Linear Independence and Stability of Piecewise Linear Prewavelets on Arbitrary Triangulations
• Intertwining Multiresolution Analyses and the Construction of Piecewise-Polynomial Wavelets
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