Variational Regularization for Systems of Inverse Problems

Tikhonov Regularization with Multiple Forward Operators
1. Auflage 2019
ISBN: 978-3-658-25389-9
Verlag: Springer

Buch, Englisch, 136 Seiten, Format (B × H): 148 mm x 210 mm, Gewicht: 202 g

Reihe: BestMasters

Tikhonov regularization is a cornerstone technique in solving inverse problems with applications in countless scienti?c ?elds. Richard Huber discusses a multi-parameter Tikhonov approach for systems of inverse problems in order to take advantage of their speci?c 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.

Zielgruppe

Research

Autoren/Hrsg.

Huber, Richard

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis

Inhaltsverzeichnis

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

Über Autor(innen)

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.