A CLASS OF ORTHOGONAL TWO-DIRECTION REFINABLE FUNCTIONS AND TWO-DIRECTION WAVELETS

DOI10.1142/S0219691308002653zbMath1283.42051OpenAlexW1982723492MaRDI QIDQ3604021

Shouzhi Yang, Changzhen Xie

Publication date: 24 February 2009

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219691308002653

zbMATH Keywords

two-direction waveletsnegative-direction maskpositive-direction masktwo-direction refinable functionstwo-direction equation

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15)

Related Items (6)

Unnamed Item ⋮ Interpolating refinable function vectors with reflection properties ⋮ Construction of two-direction tight wavelet frames ⋮ CONSTRUCTION OF COMPACTLY SUPPORTED CONJUGATE SYMMETRIC COMPLEX TIGHT WAVELET FRAMES ⋮ Approximation order of two-direction multiscaling functions ⋮ Two-direction multiwavelet moments

Cites Work

• Raising approximation order of refinable vector by increasing multiplicity
• Orthogonality criteria for multi-scaling functions
• On existence and weak stability of matrix refinable functions
• Fractal functions and wavelet expansions based on several scaling functions
• Construction of biorthogonal multiwavelets
• A study of orthonormal multi-wavelets
• Two-direction refinable functions and two-direction wavelets with high approximation order and regularity
• CONSTRUCTION FOR A CLASS OF SMOOTH TIGHT FRAMES IN L²(ℝ²)
• 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
• Refinable Function Vectors
• STABILITY OF FRAMES GENERATED BY NONLINEAR FOURIER ATOMS

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