Some sufficient conditions for convergent multivariate subdivision schemes with nonnegative finite masks

DOI10.1007/S10114-012-0267-0zbMath1279.65024OpenAlexW2089836473MaRDI QIDQ1757965

Xianqiang Yang

Publication date: 7 November 2012

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-0267-0

zbMATH Keywords

convergencejoint spectral radiusmaskmultivariate subdivision schemes

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

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• Positivity of refinable functions defined by nonnegative finite masks
• Uniform refinement of curves
• Sets of matrices all infinite products of which converge
• The Lyapunov exponent and joint spectral radius of pairs of matrices are hard - when not impossible - to compute and to approximate
• Subdivision algorithms with nonnegative masks generally converge
• A construction of multiresolution analysis on interval
• Characterization of Continuous, Four-Coefficient Scaling Functions via Matrix Spectral Radius
• Stationary subdivision
• Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions
• Multivariate Refinement Equations and Convergence of Subdivision Schemes
• Subdivision schemes with nonnegative masks
• Convergence of Subdivision Schemes Associated with Nonnegative Masks
• On multivariate subdivision schemes with nonnegative finite masks
• Corrigendum/addendum to: Sets of matrices all infinite products of which converge
• Subdivision schemes and refinement equations with nonnegative masks

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