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

DOI10.1016/j.acha.2024.101636OpenAlexW4391426657WikidataQ128886440 ScholiaQ128886440MaRDI QIDQ6122638

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Publication date: 1 March 2024

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

Full work available at URL: https://doi.org/10.1016/j.acha.2024.101636

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)

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
• 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
• Necessary conditions for the convergence of subdivision schemes with finite masks
• SIA matrices and non-negative subdivision
• Convergence of cascade algorithms in Sobolev spaces for perturbed refinement masks
• Characterization of some convergent bivariate subdivision schemes with nonnegative masks
• Stationary subdivision
• 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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