High-accuracy algorithms for approximation of discontinuity lines of a noisy function

DOI10.1134/S0081543818090018zbMath1499.65210OpenAlexW2921883310MaRDI QIDQ2424172

A. L. Ageev, T. V. Antonova

Publication date: 24 June 2019

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543818090018

zbMATH Keywords

ill-posed problemregularization algorithmlocalization of singularitiesdiscontinuity of first kinddiscontinuity line

Mathematics Subject Classification ID

Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Cites Work

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• Theory of linear ill-posed problems and its applications. Transl., updated and revised from the Russian edition 1978
• Discretization of a new method for localizing discontinuity lines of a noisy two-variable function
• Ill-posed problems with a priori information
• Research of a threshold (correlation) method and application for localization of singularities
• New methods for the localization of discontinuities of the first kind for functions of bounded variation
• Approximation of discontinuity lines for a noisy function of two variables with countably many singularities
• Approximation of discontinuity lines of a noisy function of two variables
• Localization method for lines of discontinuity of an approximately defined function of two variables

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