Subdivision schemes with general dilation in the geometric and nonlinear setting

DOI10.1016/j.jat.2011.09.005zbMath1234.41013OpenAlexW2093754004MaRDI QIDQ657438

Andreas Weinmann

Publication date: 16 January 2012

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2011.09.005

zbMATH Keywords

nonlinear subdivisiongeneral dilation matrixirregular vertex

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Local Riemannian geometry (53B20)

Related Items (5)

Differentiable Piecewise-Bézier Surfaces on Riemannian Manifolds ⋮ Wavelet Sparse Regularization for Manifold-Valued Data ⋮ Point-normal subdivision curves and surfaces ⋮ Symmetric interpolatory dual wavelet frames ⋮ Geometric Subdivision and Multiscale Transforms

Cites Work

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• Smoothness Analysis of Subdivision Schemes on Regular Grids by Proximity
• Smoothness equivalence properties of interpolatory Lie group subdivision schemes
• Riemannian center of mass and mollifier smoothing
• Multivariate Refinement Equations and Convergence of Subdivision Schemes
• Approximation properties of multivariate wavelets
• Computing the Smoothness Exponent of a Symmetric Multivariate Refinable Function
• Mathematics of Surfaces XI
• Multiscale Representations for Manifold-Valued Data

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