A new characterization of convergent multivariate subdivision schemes with nonnegative masks

DOI10.1007/s00013-016-0973-4zbMathNoneOpenAlexW2530228049MaRDI QIDQ515529

Li Cheng, Xin-Long Zhou

Publication date: 16 March 2017

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-016-0973-4

zbMATH Keywords

convergencesubdivision schemenonnegative mask

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Computer-aided design (modeling of curves and surfaces) (65D17) Iteration of real functions in one variable (26A18)

Related Items

Convergent bivariate subdivision scheme with nonnegative mask whose support is non-convex ⋮ A new computable sufficient condition for the convergence of subdivision schemes with nonnegative masks ⋮ Characterization of some convergent bivariate subdivision schemes with nonnegative masks

Cites Work

• Uniform refinement of curves
• The Lyapunov exponent and joint spectral radius of pairs of matrices are hard - when not impossible - to compute and to approximate
• SIA matrices and non-negative subdivision
• 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
• Subdivision schemes and refinement equations with nonnegative masks
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