Discretization of a New Method for Localizing Discontinuity Lines of a Noisy Two-Variable Function

被引：0
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作者：
A. L. Ageev
T. V. Antonova
机构：
[1] Ural Branch of the Russian Academy of Sciences,Krasovskii Institute of Mathematics and Mechanics
[2] Ural Federal University,undefined
来源：
Proceedings of the Steklov Institute of Mathematics | 2017年 / 299卷
关键词：
ill-posed problem; localization of singularities; line of discontinuity; regularization; discretization.;
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学科分类号：
摘要：
We consider the ill-posed problem of localizing (finding the position of) discontinuity lines of a noisy function of two variables. New regularizing methods of localization are constructed in a discrete form. In these methods, the smoothing kernel is varying, which simplifies the implementation of the algorithms. We obtain bounds for the localization error of the methods and for their separability threshold, which is another important characteristic.
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页码：4 / 13
页数：9
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