Necessary conditions for the convergence of subdivision schemes with finite masks

DOI10.1016/j.amc.2017.01.012zbMath1411.65031OpenAlexW2575575720MaRDI QIDQ1735376

Li Cheng, Xin-Long Zhou

Publication date: 28 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.01.012

zbMATH Keywords

convergencedirected graphsubdivision 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 ⋮ Characterization of some convergent bivariate subdivision schemes with nonnegative masks

Cites Work

• Positivity of refinable functions defined by nonnegative finite masks
• 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
• 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
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