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

Autor Richard Huber
en Limba Engleză Paperback – 27 feb 2019
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.

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Specificații

ISBN-13: 9783658253899
ISBN-10: 3658253894
Pagini: 131
Ilustrații: IX, 136 p. 1 illus.
Dimensiuni: 148 x 210 mm
Greutate: 0.19 kg
Ediția:1st ed. 2019
Editura: Springer Fachmedien Wiesbaden
Colecția Springer Spektrum
Seria BestMasters

Locul publicării:Wiesbaden, Germany

Cuprins

General Tikhonov Regularization.- Specific Discrepancies.- Regularization Functionals.- Application to STEM Tomography Reconstruction.


Notă biografică

Richard Huber wrote his master’s thesis under the supervision of Prof. Dr. Kristian Bredies at the Institute for Mathematics and Scientific Computing at Graz University, Austria.

Textul de pe ultima copertă

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.Contents
  • General Tikhonov Regularization
  • Specific Discrepancies
  • Regularization Functionals
  • Application to STEM Tomography Reconstruction
Target Groups
  • Researchers and students in the field of mathematics
  • Experts in the areas of mathematics, imaging, computer vision and nanotechnology
The Author
Richard Huber wrote his master’s thesis under the supervision of Prof. Dr. Kristian Bredies at the Institute for Mathematics and Scientific Computing at Graz University, Austria.

Caracteristici

Rigorous analysis of systems of inverse problems