Smoothness Properties of Lie Group Subdivision Schemes

DOI10.1137/060668353zbMath1144.41003OpenAlexW2057217736WikidataQ115247136 ScholiaQ115247136MaRDI QIDQ3503942

E. Nava Yazdani, Johannes Wallner, Philipp Grohs

Publication date: 10 June 2008

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5431e5a6d58ceea40c109fae92bc957d38fd19d7

zbMATH Keywords

convergencesmoothnesslinear schemesNonlinear schemes

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Continuity and differentiation questions (26B05)

Related Items (18)

Bi-Invariant Dissimilarity Measures for Sample Distributions in Lie Groups ⋮ Univariate subdivision schemes for noisy data with geometric applications ⋮ Smoothness equivalence properties of univariate subdivision schemes and their projection analogues ⋮ A Parallel Douglas–Rachford Algorithm for Minimizing ROF-like Functionals on Images with Values in Symmetric Hadamard Manifolds ⋮ Approximation order of interpolatory nonlinear subdivision schemes ⋮ On a New Proximity Condition for Manifold-Valued Subdivision Schemes ⋮ A gradient-descent method for curve fitting on Riemannian manifolds ⋮ Numerical algorithms for spline interpolation on space of probability density functions ⋮ Invariance property of proximity conditions in nonlinear subdivision ⋮ De Casteljau's algorithm on manifolds ⋮ Geometric Subdivision and Multiscale Transforms ⋮ A necessary and sufficient proximity condition for smoothness equivalence of nonlinear subdivision schemes ⋮ Data fitting on manifolds with composite Bézier-like curves and blended cubic splines ⋮ Convergence of subdivision schemes on Riemannian manifolds with nonpositive sectional curvature ⋮ \(C^1\) interpolating Bézier path on Riemannian manifolds, with applications to 3D shape space ⋮ Stability of nonlinear subdivision and multiscale transforms ⋮ Interpolatory wavelets for manifold-valued data ⋮ A global approach to the refinement of manifold data

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