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Variational Regularization for Systems of Inverse Problems: Tikhonov Regularization with Multiple Forward Operators

✍ Scribed by Richard Huber


Publisher
Springer Fachmedien Wiesbaden;Springer Spektrum
Year
2019
Tongue
English
Leaves
140
Series
BestMasters
Edition
1st ed.
Category
Library

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✦ Synopsis


Tikhonov regularization is a cornerstone technique in solving inverse problems with applications in countless scientific fields. Richard Huber discusses a multi-parameter Tikhonov approach for systems of inverse problems in order to take advantage of their specific structure. Such an approach allows to choose the regularization weights of each subproblem individually with respect to the corresponding noise levels and degrees of ill-posedness.


✦ Table of Contents


Front Matter ....Pages i-ix
Introduction (Richard Huber)....Pages 1-13
General Tikhonov Regularisation (Richard Huber)....Pages 15-37
Specific Discrepancies (Richard Huber)....Pages 39-61
Regularisation Functionals (Richard Huber)....Pages 63-88
Application to STEM Tomography Reconstruction (Richard Huber)....Pages 89-127
Back Matter ....Pages 129-136

✦ Subjects


Mathematics; Applications of Mathematics; Analysis; Computational Mathematics and Numerical Analysis


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