Variational Regularization for Systems of Inverse Problems: Tikhonov Regularization with Multiple Forward Operators
β Scribed by Richard Huber
- Publisher
- Springer Fachmedien Wiesbaden;Springer Spektrum
- Year
- 2019
- Tongue
- English
- Leaves
- 140
- Series
- BestMasters
- Edition
- 1st ed.
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
Tikhonov regularization is a cornerstone technique in solving inverse problems with applications in countless scientiο¬c ο¬elds. Richard Huber discusses a multi-parameter Tikhonov approach for systems of inverse problems in order to take advantage of their speciο¬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.
β¦ 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
β¦ Subjects
Mathematics; Applications of Mathematics; Analysis; Computational Mathematics and Numerical Analysis
π SIMILAR VOLUMES
Driven by the needs of applications both in sciences and in industry, the field of inverse problems has certainly been one of the fastest growing areas in applied mathematics recently. This book starts with an overview over some classes of inverse problems of practical interest. Inverse problems
<p><P></P><P>The subject of this book is a hot topic with currently no monographic support. It is more advanced, specialized and mathematical than its competitors, and a comprehensive book on regularization techniques for atmospheric science is much needed for further development in this field. Writ
<p><P></P><P>The subject of this book is a hot topic with currently no monographic support. It is more advanced, specialized and mathematical than its competitors, and a comprehensive book on regularization techniques for atmospheric science is much needed for further development in this field. Writ
<p><P></P><P>The subject of this book is a hot topic with currently no monographic support. It is more advanced, specialized and mathematical than its competitors, and a comprehensive book on regularization techniques for atmospheric science is much needed for further development in this field. Writ