On reconstruction from non-uniform spectral data

DOI10.1007/s10915-010-9364-3zbMath1203.65290OpenAlexW2021189053MaRDI QIDQ618645

Rosemary A. Renaut, Anne Gelb, Douglas Cochran, Adityavikram Viswanathan

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-010-9364-3

zbMATH Keywords

sampling densityconvolutional griddingnon-harmonic Fourier reconstructionspectral re-projection

Mathematics Subject Classification ID

Numerical methods for discrete and fast Fourier transforms (65T50) Numerical methods for trigonometric approximation and interpolation (65T40)

Related Items

The Nyquist sampling rate for spiraling curves, Finite Fourier frame approximation using the inverse polynomial reconstruction method, Fourier reconstruction of univariate piecewise-smooth functions from non-uniform spectral data with exponential convergence rates, Sampling and reconstruction in distinct subspaces using oblique projections, Stable reconstructions in Hilbert spaces and the resolution of the Gibbs phenomenon, Recovering exponential accuracy from non-harmonic Fourier data through spectral reprojection, Detecting edges from non-uniform Fourier data using Fourier frames, Detection of edges from nonuniform Fourier data, Edge detection from non-uniform Fourier data using the convolutional gridding algorithm, Approximating the inverse frame operator from localized frames, A High-Dimensional Inverse Frame Operator Approximation Technique, Recovering Piecewise Smooth Functions from Nonuniform Fourier Measurements, A Parallel Nonuniform Fast Fourier Transform Library Based on an “Exponential of Semicircle" Kernel

Uses Software

• Regularization tools
• UTV
• BrainWeb

Cites Work

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