1.

Record Nr.

UNINA9910338250303321

Autore

Huber Richard

Titolo

Variational Regularization for Systems of Inverse Problems [[electronic resource] ] : Tikhonov Regularization with Multiple Forward Operators / / by Richard Huber

Pubbl/distr/stampa

Wiesbaden : , : Springer Fachmedien Wiesbaden : , : Imprint : Springer Spektrum, , 2019

ISBN

3-658-25390-8

Edizione

[1st ed. 2019.]

Descrizione fisica

1 online resource (IX, 136 p. 1 illus.)

Collana

BestMasters, , 2625-3577

Disciplina

519

Soggetti

Applied mathematics

Engineering mathematics

Mathematical analysis

Analysis (Mathematics)

Computer mathematics

Applications of Mathematics

Analysis

Computational Mathematics and Numerical Analysis

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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

Sommario/riassunto

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.