On wavelet decomposition of spaces of first order splines

DOI10.1007/s10958-009-9278-5zbMath1202.42066OpenAlexW1967971224MaRDI QIDQ613009

Sumit K. Garg

Publication date: 17 December 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9278-5

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spline approximation (41A15) Approximation by other special function classes (41A30)

Related Items

Algorithms of wavelet compression of linear spline spaces ⋮ On Linear Spline Wavelets with Shifted Supports ⋮ Construction of splines of maximal smoothness ⋮ Reconstruction matrices and calibration relations for minimal splines

Cites Work

• Totally positive bases for shape preserving curve design and optimality of B-splines
• Wavelets on irregular grids with arbitrary dilation matrices and frame atoms for \(L^2(\mathbb R{^d})\)
• Use of divided differences and B splines for constructing fast discrete transforms of wavelet type on nonuniform grids
• Nuat B-spline curves
• Total positivity and the existence of piecewise exponential B-splines
• ECT-B-splines defined by generalized divided differences
• Basic wavelet theory
• Wavelets on irregular point sets
• Multiquadric Prewavelets on Nonequally Spaced Knots in One Dimension
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