On multivariate subdivision schemes with nonnegative finite masks

DOI10.1090/S0002-9939-05-08118-9zbMath1084.65022MaRDI QIDQ5713208

Xin-Long Zhou

Publication date: 12 December 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

convergencemultivariate subdivision schemesnonnegative finite masks

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (5)

Convergence of refinement schemes on metric spaces ⋮ A new characterization of convergent multivariate subdivision schemes with nonnegative masks ⋮ Some sufficient conditions for convergent multivariate subdivision schemes with nonnegative finite masks ⋮ A new computable sufficient condition for the convergence of subdivision schemes with nonnegative masks ⋮ SIA matrices and non-negative subdivision

Cites Work

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• 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
• Subdivision schemes and refinement equations with nonnegative masks

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