Detection, Classification, and Measurement of Discontinuities

DOI10.1137/0912018zbMath0724.65007OpenAlexW2010200043MaRDI QIDQ3212172

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Publication date: 1991

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0912018

zbMATH Keywords

classificationcurve fittingdetectiondiscontinuitiesmeasurementpatternlinear filterspline functionsampled noisy data

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Computing methodologies for image processing (68U10) Signal detection and filtering (aspects of stochastic processes) (60G35) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Spline approximation (41A15)

Related Items (8)

Local spline approximation of discontinuous functions and location of discontinuities, given low-order Fourier coefficient information. ⋮ Asymptotic bias and variance of a kernel-based estimator for the location of a discontinuity ⋮ Accurate discontinuity detection using limited resolution information ⋮ Spline approximation of discontinuous multivariate functions from scattered data ⋮ Moment Ideals of Local Dirac Mixtures ⋮ Vertical fault detection from scattered data ⋮ Practical selection of neighbourhoods for local regression in the bivariate case ⋮ Vertical and oblique fault detection in explicit surfaces

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