Detecting discontinuity points from spectral data with the quotient-difference (qd) algorithm
type: Item
instance of: scholarly article
title: Detecting discontinuity points from spectral data with the quotient-difference (qd) algorithm
zbMATH Open document ID: 1242.65291
author: Hassane Allouche
author: Noura Ghanou
author: Khalid Tigma
published in: Journal of Computational and Applied Mathematics
publication date: 2012-03-19T00:00:00Z
review text: The authors introduce a new technique for the localization of discontinuity points from spectral data. Through this work, they are able to detect discontinuity points of a \(2\pi\)-periodic piecewise smooth function from its Fourier coefficients. This could be useful in detecting edges and reducing the effects of the Gibbs phenomenon.
reviewed by: S. F. Lukomskii
Mathematics Subject Classification ID: 65T40
Mathematics Subject Classification ID: 42A16
zbMATH DE Number: 6015754
zbMATH Keywords: location of discontinuity points
zbMATH Keywords: edge detection
zbMATH Keywords: Fourier series
zbMATH Keywords: piecewise smooth function
zbMATH Keywords: Gibbs phenomenon
zbMATH Keywords: qd-algorithm
MaRDI profile type: Publication
full work available at URL: j.cam.2011.11.027
OpenAlex ID: W2022661319
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DOI: 10.1016/J.CAM.2011.11.027
description: scientific article; zbMATH DE number 6015754