Multivariate compactly supported \(C^\infty\) functions by subdivision

DOI10.1016/J.ACHA.2024.101630arXiv2211.05677OpenAlexW4391022967MaRDI QIDQ6122630

Constanza Conti, Maria Charina, N. Richter-Dyn

Publication date: 1 March 2024

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

Full work available at URL: https://arxiv.org/abs/2211.05677

zbMATH Keywords

non-stationary subdivision schemesbox-splinesmasks of increasing supportsmultivariate smoothing factorsRvachev up-function

Mathematics Subject Classification ID

Numerical analysis (65-XX) Approximations and expansions (41-XX)

Cites Work

• Unnamed Item
• Box splines
• Regularity of multivariate vector subdivision schemes
• Generalized refinement equations and subdivision processes
• Analysis of asymptotically equivalent binary subdivision schemes
• Non-stationary subdivision schemes: state of the art and perspectives
• Subdivision schemes in geometric modelling
• Compactly Supported Symmetric $C^\infty$ Wavelets with Spectral Approximation Order
• Stationary subdivision
• Ten Lectures on Wavelets
• Nonstationary Subdivision Schemes and Multiresolution Analysis
• Convex Analysis

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