Approximating the derivative of manifold-valued functions
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Publication:2104953
DOI10.1016/j.jat.2022.105832OpenAlexW3134728987MaRDI QIDQ2104953
Publication date: 8 December 2022
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.12562
Embeddings in differential topology (57R40) Harmonic analysis on Euclidean spaces (42-XX) Approximations and expansions (41-XX)
Uses Software
Cites Work
- Scattered manifold-valued data approximation
- Robust smoothing of gridded data in one and higher dimensions with missing values
- Approximation order from stability for nonlinear subdivision schemes
- Numerical Fourier analysis
- Lectures on constructive approximation. Fourier, spline, and wavelet methods on the real line, the sphere, and the ball
- Locally isometric embeddings of quotients of the rotation group modulo finite symmetries
- The reach, metric distortion, geodesic convexity and the variation of tangent spaces
- Estimating the reach of a manifold
- Finding the homology of submanifolds with high confidence from random samples
- Convergence and \(C^1\) analysis of subdivision schemes on manifolds by proximity
- \(C^1\) isometric imbeddings
- Approximation schemes for functions of positive-definite matrix values
- Smoothness Equivalence Properties of Manifold‐Valued Data Subdivision Schemes Based on the Projection Approach
- Embedding-Based Interpolation on the Special Orthogonal Group
- Means and Averaging in the Group of Rotations
- Interpolation in special orthogonal groups
- Smoothness of interpolatory multivariate subdivision in Lie groups
- Fourier Analysis
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