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Springer INdAM Series

Computational Methods for Inverse Problems in Imaging

Editors: Donatelli, Marco, Serra-Capizzano, Stefano (Eds.)

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  • Presents structured regularizing preconditioners for image deblurring
  • Discusses applications in astronomical and medical imaging
  • Includes a chapter on variable metric first-order methods
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eBook $89.00
price for USA in USD (gross)
  • ISBN 978-3-030-32882-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-3-030-32881-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.


About the authors

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.

 


Table of contents (7 chapters)

Table of contents (7 chapters)
  • Recent Advances in Variable Metric First-Order Methods

    Pages 1-31

    Bonettini, Silvia (et al.)

  • Structure Preserving Preconditioning for Frame-Based Image Deblurring

    Pages 33-49

    Bianchi, Davide (et al.)

  • Non-stationary Structure-Preserving Preconditioning for Image Restoration

    Pages 51-75

    Dell’Acqua, Pietro (et al.)

  • Numerical Investigation of the Spectral Distribution of Toeplitz-Function Sequences

    Pages 77-91

    Hon, Sean (et al.)

  • The Hough Transform and the Impact of Chronic Leukemia on the Compact Bone Tissue from CT-Images Analysis

    Pages 93-116

    Massone, Anna Maria (et al.)

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-3-030-32882-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-3-030-32881-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Computational Methods for Inverse Problems in Imaging
Editors
  • Marco Donatelli
  • Stefano Serra-Capizzano
Series Title
Springer INdAM Series
Series Volume
36
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-32882-5
DOI
10.1007/978-3-030-32882-5
Hardcover ISBN
978-3-030-32881-8
Series ISSN
2281-518X
Edition Number
1
Number of Pages
IX, 166
Number of Illustrations
19 b/w illustrations, 50 illustrations in colour
Topics