Radial basis function approximation of noisy scattered data on the sphere
From MaRDI portal
Publication:1679208
DOI10.1007/s00211-017-0886-6zbMath1380.41005OpenAlexW2614074800MaRDI QIDQ1679208
Ian H. Sloan, Kerstin Hesse, Robert S. Womersley
Publication date: 8 November 2017
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-017-0886-6
Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Spline approximation (41A15) Spherical harmonics (33C55)
Related Items
\(L_2\) error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data ⋮ Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data ⋮ Bypassing the quadrature exactness assumption of hyperinterpolation on the sphere ⋮ Sketching with Spherical Designs for Noisy Data Fitting on Spheres ⋮ Tikhonov regularization for polynomial approximation problems in Gauss quadrature points ⋮ Continuous regularized least squares polynomial approximation on the sphere ⋮ Distributed Filtered Hyperinterpolation for Noisy Data on the Sphere ⋮ Lasso Hyperinterpolation Over General Regions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Comparing parameter choice methods for regularization of ill-posed problems
- Continuous and discrete least-squares approximation by radial basis functions on spheres
- Error estimates for interpolation by compactly supported radial basis functions of minimal degree
- Multivariate polynomial approximation
- Extremal systems of points and numerical integration on the sphere
- Fitting scattered data on sphere-like surfaces using spherical splines
- Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
- An extension of a bound for functions in Sobolev spaces, with applications to \((m, s)\)-spline interpolation and smoothing
- Positive definite functions on spheres
- Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature
- Regularized Least Squares Approximations on the Sphere Using Spherical Designs
- Kernel Approximation on Manifolds I: Bounding the Lebesgue Constant
- Kernel Approximation on Manifolds II: The $L_{\infty}$ Norm of the $L_2$ Projector
- Learning Theory
- Strictly Positive Definite Functions on Spheres
- Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
- Reconstruction of numerical derivatives from scattered noisy data
- Scattered Data Interpolation on Spheres: Error Estimates and Locally Supported Basis Functions
- A necessary and sufficient condition for strictly positive definite functions on spheres
- Sobolev error estimates and a priori parameter selection for semi-discrete Tikhonov regularization
- Regularization Parameter Selections via Generalized Information Criterion
- Scattered Data Approximation
- An introduction to the mathematical theory of inverse problems
