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
  20. Matti Lassas, Mikko Salo, Gunther Uhlmann
    Pages 867-909
  21. Daniela Calvetti, Erkki Somersalo
    Pages 913-957
  22. Gabriele Steidl
    Pages 959-1013
  23. V. Caselles, A. Chambolle, M. Novaga
    Pages 1016-1057
  24. Raymond Chan, Tony Chan, Andy Yip
    Pages 1059-1094
  25. Leah Bar, Tony F. Chan, Ginmo Chung, Miyoun Jung, Nahum Kiryati, Rami Mohieddine et al.
    Pages 1095-1157
  26. Jean-Michel Morel, Antoni Buades, Tomeu Coll
    Pages 1159-1201
  27. Julie Digne, Mariella Dimiccoli, Philippe Salembier, Neus Sabater
    Pages 1203-1229
  28. Brigitte Forster
    Pages 1231-1270
  29. Ole Christensen, Hans G. Feichtinger, Stephan Paukner
    Pages 1271-1307
  30. Alain Trouvé, Laurent Younes
    Pages 1309-1362
  31. Martin Rumpf, Benedikt Wirth
    Pages 1363-1401
  32. Alexander M. Bronstein, Michael M. Bronstein
    Pages 1403-1452
  33. Jean-Luc Starck, Fionn Murtagh, Mario Bertero
    Pages 1489-1531
  34. Werner Benger, René Heinzl, Dietmar Hildenbrand, Tino Weinkauf, Holger Theisel, David Tschumperlé
    Pages 1533-1595
  35. Back Matter
    Pages 1597-1607

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