Efficient function approximation on general bounded domains using splines on a Cartesian grid
type: Item
instance of: scholarly article
title: Efficient function approximation on general bounded domains using splines on a Cartesian grid
zbMATH Open document ID: 1504.65041
author: Vincent Coppé
author: Daan Huybrechs
published in: Advances in Computational Mathematics
publication date: 2022-10-27T00:00:00Z
full work available at URL: https://arxiv.org/abs/1911.07894
Mathematics Subject Classification ID: 65D15
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 65T40
zbMATH DE Number: 7608420
zbMATH Keywords: splines
zbMATH Keywords: function approximation
zbMATH Keywords: irregular domains
describes a project that uses: LowRankApprox.jl
describes a project that uses: Julia
describes a project that uses: GitHub
MaRDI profile type: Publication
OpenAlex ID: W4297225082
Wikidata QID: Q117717422
arXiv ID: 1911.07894
cites work: Frames and Numerical Approximation
cites work: Frames and numerical approximation. II: Generalized sampling
cites work: On the numerical stability of Fourier extensions
cites work: Cardinal spline filters: Stability and convergence to the ideal sinc interpolator
cites work: Spline and Spline Wavelet Methods with Applications to Signal and Image Processing
cites work: Fourier embedded domain methods: Extending a function defined on an irregular region to a rectangle so that the extension is spatially periodic and \(C^{\infty}\)
cites work: Accurate, high-order representation of complex three-dimensional surfaces via Fourier continuation analysis
cites work: On the Solution of Circulant Linear Systems
cites work: The AZ Algorithm for Least Squares Systems with a Known Incomplete Generalized Inverse
cites work: Q3208805
cites work: Q4069194
cites work: Inverses of Band Matrices and Local Convergence of Spline Projections
cites work: Q4273944
cites work: The Future Fast Fourier Transform?
cites work: A practical guide to splines
cites work: Finite Element Methods with B-Splines
cites work: Weighted extended B-spline approximation of Dirichlet problems
cites work: On the Fourier Extension of Nonperiodic Functions
cites work: A Fast Algorithm for Fourier Continuation
cites work: Fast algorithms for the computation of Fourier extensions of arbitrary length
cites work: Function Approximation on Arbitrary Domains Using Fourier Extension Frames
cites work: Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics
cites work: The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models
cites work: Cardinal interpolation and spline functions
cites work: Q3895980
cites work: Prolate Spheroidal Wave Functions, Fourier Analysis, and Uncertainty-V: The Discrete Case
cites work: B-spline signal processing. I. Theory
cites work: B-spline signal processing. II. Efficiency design and applications
cites work: Computing the Minimum Fill-In is NP-Complete
DOI: 10.1007/S10444-022-09946-2
description: scientific article