REFINEMENT EQUATIONS AND CORRESPONDING LINEAR OPERATORS

DOI10.1142/S0219691306001385zbMath1139.65340OpenAlexW2091781364MaRDI QIDQ5386842

Vladimir Yu. Protasov

Publication date: 14 May 2008

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/s0219691306001385

zbMATH Keywords

invariant subspacesrefinement equationsubdivision algorithmsrefinable functionsregularity of wavelets

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical methods for wavelets (65T60)

Related Items (3)

ORTHONORMAL MRA WAVELETS: SPECTRAL FORMULAS AND ALGORITHMS ⋮ CHARACTERIZATIONS OF A CLASS OF ORTHOGONAL MULTIPLE VECTOR-VALUED WAVELET PACKETS ⋮ Spectral Algorithms for MRA Orthonormal Wavelets

Cites Work

• Symmetric iterative interpolation processes
• Uniform refinement of curves
• Bounded semigroups of matrices
• Spectral properties of two-slanted matrices
• Computing the joint spectral radius
• Analysis of uniform binary subdivision schemes for curve design
• The Stability of Subdivision Operator at Its Fixed Point
• Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions
• Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
• Characterizations of Scaling Functions: Continuous Solutions
• Wavelet Analysis of Refinement Equations
• The generalized joint spectral radius. A geometric approach
• A Complete Solution Characterizing Smooth Refinable Functions
• Characterization of $L^p $-Solutions for the Two-Scale Dilation Equations

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