Determining the locations and discontinuities in the derivatives of functions
type: Item
instance of: scholarly article
title: Determining the locations and discontinuities in the derivatives of functions
zbMATH Open document ID: 1141.65011
author: Rick Archibald
author: Anne Gelb
author: Jungho Yoon
published in: Applied Numerical Mathematics
publication date: 2008-04-28T00:00:00Z
review text: Given piecewise smooth functions often poses the question as how to detect their discontinuities and those of their derivatives. This paper proposes an iterative method for the detection of such points. It is based on local stencils of testing points. Examples and implementation issues are discussed as well.
Mathematics Subject Classification ID: 65D15
zbMATH DE Number: 5268283
zbMATH Keywords: edge detection
zbMATH Keywords: derivative discontinuities
zbMATH Keywords: piecewise smooth functions
zbMATH Keywords: polynomial annihilation
zbMATH Keywords: discontinuity detection
zbMATH Keywords: numerical examples
zbMATH Keywords: iterative method
reviewed by: Martin D. Buhmann
MaRDI profile type: Publication
full work available at URL: j.apnum.2007.01.018
OpenAlex ID: W2024342887
Wikidata QID: Q60151412
cites work: One-sided post-processing for the discontinuous Galerkin method using ENO type stencil choosing and the local edge detection method
cites work: Polynomial Fitting for Edge Detection in Irregularly Sampled Signals and Images
cites work: A Padé-based algorithm for overcoming the Gibbs phenomenon
cites work: Accurate Reconstructions of Functions of Finite Regularity from Truncated Fourier Series Expansions
cites work: Reconstruction of piecewise smooth functions from non-uniform grid point data
cites work: Adaptive edge detectors for piecewise smooth data based on the minmod limiter
cites work: Robust reprojection methods for the resolution of the Gibbs phenomenon
cites work: Enhanced spectral viscosity approximations for conservation laws
cites work: Recovering high-order accuracy in WENO computations of steady-state hyperbolic systems
cites work: On the Gibbs Phenomenon and Its Resolution
cites work: Q3730994
cites work: Time Compact Difference Methods for Wave Propagation in Discontinuous Media
cites work: ENO schemes with subcell resolution
cites work: Determination of the jumps of a bounded function by its Fourier series
cites work: Legendre Pseudospectral Viscosity Method for Nonlinear Conservation Laws
cites work: Towards the resolution of the Gibbs phenomena.
cites work: A note on the accuracy of spectral method applied to nonlinear conservation laws
cites work: Adaptive mollifiers for high resolution recovery of piecewise smooth data from its spectral information
cites work: Optimal filter and mollifier for piecewise smooth spectral data
cites work: Jump and sharp cusp detection by wavelets
DOI: 10.1016/J.APNUM.2007.01.018
description: scientific article