Multivariate refinement equation with nonnegative masks

DOI10.1007/s11425-006-0439-4zbMath1119.42017OpenAlexW1509232403MaRDI QIDQ862690

Xin-Long Zhou, Song Li

Publication date: 24 January 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-006-0439-4

zbMATH Keywords

subdivision schemesnonnegative maskmultivariate refinement equation

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60)

Cites Work

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• Uniform refinement of curves
• The \(p\)-norm joint spectral radius for even integers
• Smooth refinable functions and wavelets obtained by convolution products
• The Lyapunov exponent and joint spectral radius of pairs of matrices are hard - when not impossible - to compute and to approximate
• Stationary subdivision
• Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions
• Stability and Linear Independence Associated with Wavelet Decompositions
• Multivariate Refinement Equations and Convergence of Subdivision Schemes
• Multivariate matrix refinable functions with arbitrary matrix dilation
• Subdivision schemes with nonnegative masks
• Smoothness of Multiple Refinable Functions and Multiple Wavelets
• Convergence of Subdivision Schemes Associated with Nonnegative Masks
• Characterization of $L^p $-Solutions for the Two-Scale Dilation Equations
• \(L_p\) solutions of refinement equations
• Subdivision schemes and refinement equations with nonnegative masks

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