Convergence rate of vector subdivision scheme

DOI10.1007/S11766-007-0307-1zbMath1150.65005OpenAlexW2171221114MaRDI QIDQ933060

Zhi Song Liu

Publication date: 6 August 2008

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-007-0307-1

zbMATH Keywords

convergence raterefinable function vectorrefinement equationsubdivision scheme

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical methods for wavelets (65T60) Numerical interpolation (65D05)

Cites Work

• Characterization of smoothness of multivariate refinable functions and convergence of cascade algorithms of nonhomogeneous refinement equations
• Convergence of cascade algorithms in Sobolev spaces and integrals of wavelets
• Convergence of vector subdivision schemes in Sobolev spaces
• Convergence rates of cascade algorithms associated with nonhomogeneous refinement equations
• Subdivision schemes in \(L_ p\) spaces
• Convergence rates of vector cascade algorithms in \(L_p\)
• Multivariate Refinement Equations and Convergence of Subdivision Schemes
• Vector subdivision schemes and multiple wavelets
• Multivariate matrix refinable functions with arbitrary matrix dilation
• Characterization of Smoothness of Multivariate Refinable Functions in Sobolev Spaces
• Approximation properties of multivariate wavelets
• Convergence of cascade algorithms associated with nonhomogeneous refinement equations
• Smoothness of Multiple Refinable Functions and Multiple Wavelets
• Convergence rates of cascade algorithms
• Norms concerning subdivision sequences and their applications in wavelets

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