Design of interpolating biorthogonal multiwavelet systems with compact support

DOI10.1006/acha.2001.0361zbMath1010.42018OpenAlexW1972025497MaRDI QIDQ5956055

Zhi-Quan Luo, Timothy N. Davidson, Jian-Kang Zhang, Kon Max Wong

Publication date: 11 April 2002

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/acha.2001.0361

zbMATH Keywords

interpolationmultiwaveletsmultifilter banks

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Related Items

BALANCED INTERPOLATORY MULTIWAVELETS WITH MULTIPLICITY r ⋮ Totally interpolating biorthogonal multiwavelet systems with approximation order ⋮ Constructing totally interpolating wavelet frame systems ⋮ Biorthogonal multiwavelets with sampling property and application in image compression ⋮ Construction for a class of interpolation multiscaling functions with dilation factora\(\geq \)3 ⋮ Multivariate orthonormal interpolating scaling vectors ⋮ The orthogonal interpolating balanced multiwavelet with rational coefficients ⋮ Interpolating refinable function vectors with reflection properties ⋮ Construction of interpolating scaling vectors with Hermite interpolation property ⋮ Multivariate symmetric interpolating scaling vectors with duals ⋮ Explicit Haar–Schauder multiwavelet filters and algorithms. Part II: Relative entropy-based estimation for optimal modeling of biomedical signals ⋮ ON PRECONDITIONING MULTIWAVELET SYSTEMS FOR IMAGE COMPRESSION ⋮ A method of construction for biorthogonal multiwavelets system with \(2r\) multiplicity ⋮ INFINITUDE OF MINIMALLY SUPPORTED TOTALLY INTERPOLATING BIORTHOGONAL MULTIWAVELET SYSTEMS WITH LOW APPROXIMATION ORDERS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cardinal interpolating multiresolutions
• The lifting scheme: A custom-design construction of biorthogonal wavelets
• Interpolating multiwavelet bases and the sampling theorem
• Multiwavelet prefilters. 1. Orthogonal prefilters preserving approximation order p≤2
• Wavelets in Wandering Subspaces
• A sampling theorem for wavelet subspaces
• Wavelets and filter banks: theory and design
• The discrete wavelet transform: wedding the a trous and Mallat algorithms
• On the Regularity of Matrix Refinable Functions
• Construction of Multiscaling Functions with Approximation and Symmetry
• The Lifting Scheme: A Construction of Second Generation Wavelets
• On sampling theorem, wavelets, and wavelet transforms
• Multiresolution representations using the autocorrelation functions of compactly supported wavelets
• An algorithm for matrix extension and wavelet construction