Construction of biorthogonal two-direction refinable function and two-direction wavelet with dilation factorm

DOI10.1016/j.camwa.2008.04.007zbMath1152.65488OpenAlexW2001279415MaRDI QIDQ2519530

Changzhen Xie

Publication date: 26 January 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.04.007

zbMATH Keywords

dilation factorbiorthogonaltwo-direction refinable functiontwo-direction wavelet

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60)

Related Items

Refinement equations and distributional fixed points ⋮ Refinement equations and Feller operators ⋮ Matrix refinement type equations

Cites Work

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• Biorthogonal two-direction refinable function and two-direction wavelet
• Fractal functions and wavelet expansions based on several scaling functions
• Two-direction refinable functions and two-direction wavelets with dilation factor \(m\)
• Raising Multiwavelet Approximation Order Through Lifting
• Orthonormal bases of compactly supported wavelets
• Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions
• Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals