Convergence of cascade algorithms in Sobolev spaces associated with inhomogeneous refinement equations

DOI10.1006/jath.1999.3436zbMath0953.65103OpenAlexW2006779068MaRDI QIDQ1567428

Song Li

Publication date: 5 June 2000

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1999.3436

zbMATH Keywords

waveletsconvergencecascade algorithmmultivariate refinement equationshansition operator

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) Approximation by other special function classes (41A30)

Related Items (8)

Multi-window dilation-and-modulation frames on the half real line ⋮ Interpolatory quad/triangle subdivision schemes for surface design ⋮ A survey on the time-frequency analysis on the half real line ⋮ Convergence of cascade algorithms in Sobolev spaces associated with multivariate refinement equations ⋮ Norms concerning subdivision sequences and their applications in wavelets ⋮ Inhomogeneous refinement equations with random affine maps ⋮ Multivariate refinement equations and convergence of cascade algorithms in \(L_p(0<p<1)\) spaces ⋮ Convergence rates of cascade algorithms associated with nonhomogeneous refinement equations

Cites Work

• Inhomogeneous refinement equations
• Subdivision schemes in \(L_ p\) spaces
• Analysis of uniform binary subdivision schemes for curve design
• Stationary subdivision
• Multivariate Refinement Equations and Convergence of Subdivision Schemes
• Vector subdivision schemes and multiple wavelets
• Wavelet Analysis of Refinement Equations
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