Editors:
- Presents structured regularizing preconditioners for image deblurring
- Discusses applications in astronomical and medical imaging
- Includes a chapter on variable metric first-order methods
Part of the book series: Springer INdAM Series (SINDAMS, volume 36)
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Table of contents (7 chapters)
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Front Matter
About this book
This book presents recent mathematical methods in the area of inverse problems in imaging with a particular focus on the computational aspects and applications. The formulation of inverse problems in imaging requires accurate mathematical modeling in order to preserve the significant features of the image. The book describes computational methods to efficiently address these problems based on new optimization algorithms for smooth and nonsmooth convex minimization, on the use of structured (numerical) linear algebra, and on multilevel techniques. It also discusses various current and challenging applications in fields such as astronomy, microscopy, and biomedical imaging. The book is intended for researchers and advanced graduate students interested in inverse problems and imaging.
Editors and Affiliations
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Department of Science and High Technology, University of Insubria, Como, Italy
Marco Donatelli
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Department of Humanities and Innovation, University of Insubria, Como, Italy
Stefano Serra-Capizzano
About the editors
Marco Donatelli is an Associate Professor of Numerical Analysis at the Department of Science and High Technology, University of Insubria (Italy). He was awarded a Ph.D. in Applied Mathematics by the University of Milan in 2006. His research interests include regularization methods of inverse problems, preconditioning and multigrid methods for structured matrices. He is author of more than 70 papers and he serves on the editorial boards of three international journals.
Stefano Serra-Capizzano is a Full Professor of Numerical Analysis at the Department of Humanities and Innovation, Deputy Rector of the University of Insubria (Italy) and long-term Visiting Scholar at Uppsala University (Sweden). He has authored over 200 research papers in different areas of mathematics, including numerical linear algebra, spectral theory, approximation theory, and inverse problems, with more than 100 collaborators around the globe. He is the founder of the Ph.D. Program "Mathematics of Computation" and of the Department of Science and High Technology at the University of Insubria.
Bibliographic Information
Book Title: Computational Methods for Inverse Problems in Imaging
Editors: Marco Donatelli, Stefano Serra-Capizzano
Series Title: Springer INdAM Series
DOI: https://doi.org/10.1007/978-3-030-32882-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-32881-8Published: 09 December 2019
Softcover ISBN: 978-3-030-32884-9Published: 09 December 2020
eBook ISBN: 978-3-030-32882-5Published: 26 November 2019
Series ISSN: 2281-518X
Series E-ISSN: 2281-5198
Edition Number: 1
Number of Pages: IX, 166
Number of Illustrations: 19 b/w illustrations, 50 illustrations in colour
Topics: Computational Mathematics and Numerical Analysis, Mathematical Applications in the Physical Sciences, Mathematical and Computational Engineering