Convergence of refinement schemes on metric spaces

DOI10.1090/S0002-9939-2012-11331-0zbMath1260.53077MaRDI QIDQ4908283

Oliver Ebner

Publication date: 5 March 2013

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

zbMATH Keywords

Hadamard spacebarycentric subdivision scheme

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (8)

Wolfowitz’s theorem and consensus algorithms in Hadamard spaces ⋮ De Casteljau's algorithm on manifolds ⋮ On convergent interpolatory subdivision schemes in Riemannian geometry ⋮ Geometric Subdivision and Multiscale Transforms ⋮ Convergence of subdivision schemes on Riemannian manifolds with nonpositive sectional curvature ⋮ Manifold-valued subdivision schemes based on geodesic inductive averaging ⋮ $C^1$ Analysis of Hermite Subdivision Schemes on Manifolds ⋮ A global approach to the refinement of manifold data

Cites Work

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• Convergence and smoothness analysis of subdivision rules in Riemannian and symmetric spaces
• Generalized refinement equations and subdivision processes
• Interpolatory subdivision schemes and wavelets
• Steiner problems in optimal transport
• A General Proximity Analysis of Nonlinear Subdivision Schemes
• Stationary subdivision
• On multivariate subdivision schemes with nonnegative finite masks

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