On phase correction in tomographic research

DOI10.33048/SIBJIM.2020.23.402zbMath1504.65246MaRDI QIDQ5055557

Anatoly G. Yagola, V. D. Shinkarëv, Alexander S. Leonov, Dmitry V. Lukyanenko, Yan-fei Wang

Publication date: 9 December 2022

Published in: Sibirskii zhurnal industrial'noi matematiki (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/sjim1106

zbMATH Keywords

regularizationill-posed problemtomographyphase correctionintensity transfer

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Smoothness and regularity of solutions to PDEs (35B65) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (1)

Convergence of the method of regularization for finding normal quasisolutions in problems with free phase and a completely continuous operator

Cites Work

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• Functions of several variables with bounded variation in ill-posed problems
• On the total variation for functions of several variables and a multidimensional analog of Helly's selection principle
• Numerical piecewise-uniform regularization for two-dimensional ill-posed problems
• Detection of spatially sparse damage using impulse response sensitivity and LASSO regularization

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