Detecting discontinuity points from spectral data with the quotient-difference (qd) algorithm

DOI10.1016/j.cam.2011.11.027zbMath1242.65291OpenAlexW2022661319MaRDI QIDQ765294

Noura Ghanou, Khalid Tigma, Hassane Allouche

Publication date: 19 March 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.11.027

zbMATH Keywords

Fourier seriesGibbs phenomenonedge detectionpiecewise smooth functionqd-algorithmlocation of discontinuity points

Mathematics Subject Classification ID

Numerical methods for trigonometric approximation and interpolation (65T40) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Cites Work

• Detection of edges in spectral data III-refinement of the concentration method
• A projection method for edge detection in images
• Iterative methods based on spline approximations to detect discontinuities from Fourier data
• On the Gibbs phenomenon. I: Recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function
• Singular rules for a multivariate quotient-difference algorithm
• Towards the resolution of the Gibbs phenomena.
• QD-type algorithms for the nonnormal Newton-Padé approximation table
• Determining the locations and discontinuities in the derivatives of functions
• Detection of Edges in Spectral Data II. Nonlinear Enhancement
• On the Gibbs Phenomenon and Its Resolution
• Accurate Reconstructions of Functions of Finite Regularity from Truncated Fourier Series Expansions
• The Padé Table and Its Relation to Certain Algorithms of Numerical Analysis
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