Convergence and smoothness analysis of subdivision rules in Riemannian and symmetric spaces
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Publication:623376
DOI10.1007/s10444-010-9150-7zbMath1211.41005OpenAlexW2104896514WikidataQ115384794 ScholiaQ115384794MaRDI QIDQ623376
Publication date: 14 February 2011
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-010-9150-7
Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Rate of convergence, degree of approximation (41A25) Local Riemannian geometry (53B20)
Related Items (19)
Interpolation on symmetric spaces via the generalized polar decomposition ⋮ Approximation order of interpolatory nonlinear subdivision schemes ⋮ Hermite subdivision on manifolds via parallel transport ⋮ On a New Proximity Condition for Manifold-Valued Subdivision Schemes ⋮ Hölder regularity of geometric subdivision schemes ⋮ Hermite multiwavelets for manifold-valued data ⋮ Wavelet Sparse Regularization for Manifold-Valued Data ⋮ Invariance property of proximity conditions in nonlinear subdivision ⋮ De Casteljau's algorithm on manifolds ⋮ On convergent interpolatory subdivision schemes in Riemannian geometry ⋮ Non-smooth Variational Regularization for Processing Manifold-Valued Data ⋮ Geometric Subdivision and Multiscale Transforms ⋮ Convergence of refinement schemes on metric spaces ⋮ A necessary and sufficient proximity condition for smoothness equivalence of nonlinear subdivision schemes ⋮ Convergence of subdivision schemes on Riemannian manifolds with nonpositive sectional curvature ⋮ Nonlinear subdivision schemes on irregular meshes ⋮ Total Generalized Variation for Manifold-Valued Data ⋮ Smoothness of subdivision surfaces with boundary ⋮ $C^1$ Analysis of Hermite Subdivision Schemes on Manifolds
Cites Work
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- Smoothness Equivalence Properties of Manifold‐Valued Data Subdivision Schemes Based on the Projection Approach
- Smoothness equivalence properties of interpolatory Lie group subdivision schemes
- Probability, Convexity, and Harmonic Maps with Small Image I: Uniqueness and Fine Existence
- Riemannian center of mass and mollifier smoothing
- A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices
- Smoothness of interpolatory multivariate subdivision in Lie groups
- Multiscale Representations for Manifold-Valued Data
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