The structure of balanced multivariate biorthogonal multiwavelets and dual multiframelets

DOI10.1090/S0025-5718-09-02320-5zbMath1247.42040OpenAlexW1979763552MaRDI QIDQ3584810

Bin Han

Publication date: 30 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-09-02320-5

zbMATH Keywords

biorthogonal multiwaveletssum rulesvanishing momentsprefilteringbalancing propertydual multiframeletsdiscrete multiframelet transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (15)

Construction of uniformly symmetric bi-frames based on multiresolution template algorithm ⋮ Compactly supported quasi-tight multiframelets with high balancing orders and compact framelet transforms ⋮ Vector subdivision schemes and their convergence for arbitrary matrix masks ⋮ Multivariate generalized Hermite subdivision schemes ⋮ Multiwavelet sampling theorem in Sobolev spaces ⋮ Analysis and convergence of Hermite subdivision schemes ⋮ A structural characterization of compactly supported OEP-based balanced dual multiframelets ⋮ Bessel multiwavelet sequences and dual multiframelets in Sobolev spaces ⋮ Hermite-like interpolating refinable function vector and its application in signal recovering ⋮ A dual-chain approach for bottom-up construction of wavelet filters with any integer dilation ⋮ Symmetric orthogonal filters and wavelets with linear-phase moments ⋮ Sampling approximation by framelets in Sobolev space and its application in modifying interpolating error ⋮ Generalized interpolating refinable function vectors ⋮ Multivariate quasi-tight framelets with high balancing orders derived from any compactly supported refinable vector functions ⋮ Derivative-orthogonal Riesz wavelets in Sobolev spaces with applications to differential equations

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