© 2011

Handbook of Mathematical Methods in Imaging

  • Otmar Scherzer
  • Presents comprehensive and rigorous treatment of mathematical methods in imaging

  • Groups content around themes of Inverse Problems (Algorithmic Reconstruction), and Signal and Image Processing

  • Supports readers through cross-referenced entries for easy Navigation

  • Offers an online edition with hyperlinked PDF and html Format

Reference work

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Charles Groetsch
    Pages 3-41
  3. Julianne Chung, Sarah Knepper, James G. Nagy
    Pages 43-86
  4. Jin Cheng, Bernd Hofmann
    Pages 87-109
  5. Christiane Pöschl, Otmar Scherzer
    Pages 111-138
  6. Mila Nikolova
    Pages 139-185
  7. Massimo Fornasier, Holger Rauhut
    Pages 187-228
  8. Jonathan M. Borwein, D. Russell Luke
    Pages 229-270
  9. Charles Byrne, Paul P. B. Eggermont
    Pages 271-344
  10. Martin Burger, Barbara Kaltenbacher, Andreas Neubauer
    Pages 345-384
  11. Oliver Dorn, Dominique Lesselier
    Pages 385-444
  12. Habib Ammari, Hyeonbae Kang
    Pages 447-499
  13. Martin Hanke, Andreas Kirsch
    Pages 501-550
  14. David Colton, Rainer Kress
    Pages 551-598
  15. Andy Adler, Romina Gaburro, William Lionheart
    Pages 599-654
  16. Margaret Cheney, Brett Borden
    Pages 655-690
  17. Gabor T. Herman
    Pages 691-733
  18. Simon R. Arridge, Jari P. Kaipio, Ville Kolehmainen, Tanja Tarvainen
    Pages 735-780
  19. Peter Kuchment, Leonid Kunyansky
    Pages 817-865

About this book


The Handbook of Mathematical Methods in Imaging provides a comprehensive treatment of the mathematical techniques used in imaging science. The material is grouped into two central themes, namely, Inverse Problems (Algorithmic Reconstruction) and Signal and Image Processing. Each section within the themes covers applications (modeling), mathematics, numerical methods (using a case example) and open questions. Written by experts in the area, the presentation is mathematically rigorous. The entries are cross-referenced for easy navigation through connected topics. Available in both print and electronic forms, the handbook is enhanced by more than 150 illustrations and an extended bibliography.

It will benefit students, scientists and researchers in applied mathematics. Engineers and computer scientists working in imaging will also find this handbook useful.

Editors and affiliations

  • Otmar Scherzer
    • 1
    • 2
  1. 1.Computational Science CenterUniversity of ViennaViennaAustria
  2. 2.RICAMAustrian Academy of SciencesLinzAustria

Bibliographic information


From the reviews:

“The book is divided into three volumes: methods, case examples and image restoration and analysis. … The book succeeds in achieving a broad coverage of subjects, but is also very detailed in its coverage of individual topics. The book is also very well referenced. This book would thus form an excellent reference for both individual researchers and research groups working in this field.” (Peter R. T. Munro, Contemporary Physics, Vol. 54 (1), 2013)