Approximation of discontinuity lines for a noisy function of two variables with countably many singularities

DOI10.1134/S1990478915030011zbMath1349.65071MaRDI QIDQ3186870

T. V. Antonova, A. L. Ageev

Publication date: 12 August 2016

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

zbMATH Keywords

ill-posed problemregularizing algorithmdiscontinuity of the first kindline of discontinuitylocalization of singularity

Mathematics Subject Classification ID

Algorithms for approximation of functions (65D15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items (3)

High-accuracy algorithms for approximation of discontinuity lines of a noisy function ⋮ A discrete algorithm for localizing the discontinuity lines of a function of two variables ⋮ Discretization of a new method for localizing discontinuity lines of a noisy two-variable function

Cites Work

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• Ill-posed problems with a priori information
• New methods for the localization of discontinuities of the first kind for functions of bounded variation
• Regularizing algorithms for detecting discontinuities in ill-posed problems
• Approximation of function with finite number of discontinuities by noised data
• 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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