Characterization of some convergent bivariate subdivision schemes with nonnegative masks

DOI10.1016/J.ACHA.2019.09.004OpenAlexW2976394811WikidataQ127201204 ScholiaQ127201204MaRDI QIDQ2300773

Li Cheng

Publication date: 28 February 2020

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2019.09.004

zbMATH Keywords

convergencenonnegative maskbivariate subdivision scheme

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 (1)

Convergent bivariate subdivision scheme with nonnegative mask whose support is non-convex

Cites Work

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• A new characterization of convergent multivariate subdivision schemes with nonnegative masks
• 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
• Necessary conditions for the convergence of subdivision schemes with finite masks
• 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
• Convergence of Subdivision Schemes Associated with Nonnegative Masks

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