Fourier reconstruction of univariate piecewise-smooth functions from non-uniform spectral data with exponential convergence rates
type: Item
instance of: scholarly article
title: Fourier reconstruction of univariate piecewise-smooth functions from non-uniform spectral data with exponential convergence rates
zbMATH Open document ID: 1327.65286
author: Rodrigo B. Platte
author: Alexander Gutiérrez
author: Anne Gelb
published in: Applied and Computational Harmonic Analysis
publication date: 2015-11-10T00:00:00Z
Mathematics Subject Classification ID: 65T40
Mathematics Subject Classification ID: 65T50
Mathematics Subject Classification ID: 92C55
zbMATH DE Number: 6506747
zbMATH Keywords: resampling
zbMATH Keywords: non-uniform Fourier data
zbMATH Keywords: edge detection
zbMATH Keywords: Chebyshev polynomials
zbMATH Keywords: spectral convergence
zbMATH Keywords: reconstruction of univariate piecewise-smooth functions
zbMATH Keywords: magnetic resonance imaging
zbMATH Keywords: integer fast Fourier transform
describes a project that uses: Chebfun
MaRDI profile type: Publication
full work available at URL: j.acha.2014.10.002
OpenAlex ID: W1990910349
cites work: On reconstruction from non-uniform spectral data
cites work: Fast Fourier Transforms for Nonequispaced Data
cites work: Fast Fourier transforms for nonequispaced data. II
cites work: Non-equispaced fast Fourier transforms with applications to tomography
cites work: Accelerating the Nonuniform Fast Fourier Transform
cites work: Spectral Methods for Time-Dependent Problems
cites work: On the Gibbs Phenomenon and Its Resolution
cites work: Barycentric Lagrange Interpolation
cites work: Some new characterizations of the Chebyshev polynomials
cites work: Q4791752
cites work: Q3848301
cites work: An Extension of MATLAB to Continuous Functions and Operators
cites work: Notes on the Theory and Application of Fourier Transforms. I-II
cites work: Piecewise-smooth chebfuns
cites work: Q4821311
cites work: Q5689624
cites work: Q4825152
cites work: Q5593353
cites work: Detection of edges in spectral data
cites work: A Simplex Method for Function Minimization
DOI: 10.1016/J.ACHA.2014.10.002
description: scientific article; zbMATH DE number 6506747