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  • Reference work
  • © 2011

Handbook of Mathematical Methods in Imaging

Editors:

  • 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

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eBook USD 679.00
Price excludes VAT (USA)
  • ISBN: 978-0-387-92920-0
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  • Own it forever
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Table of contents (35 entries)

  1. Front Matter

    Pages i-xviii
  2. Linear Inverse Problems

    • Charles Groetsch
    Pages 3-41
  3. Large-Scale Inverse Problems in Imaging

    • Julianne Chung, Sarah Knepper, James G. Nagy
    Pages 43-86
  4. Regularization Methods for Ill-Posed Problems

    • Jin Cheng, Bernd Hofmann
    Pages 87-109
  5. Distance Measures and Applications to Multi-Modal Variational Imaging

    • Christiane Pöschl, Otmar Scherzer
    Pages 111-138
  6. Energy Minimization Methods

    • Mila Nikolova
    Pages 139-185
  7. Compressive Sensing

    • Massimo Fornasier, Holger Rauhut
    Pages 187-228
  8. Duality and Convex Programming

    • Jonathan M. Borwein, D. Russell Luke
    Pages 229-270
  9. EM Algorithms

    • Charles Byrne, Paul P. B. Eggermont
    Pages 271-344
  10. Iterative Solution Methods

    • Martin Burger, Barbara Kaltenbacher, Andreas Neubauer
    Pages 345-384
  11. Level Set Methods for Structural Inversion and Image Reconstruction

    • Oliver Dorn, Dominique Lesselier
    Pages 385-444
  12. Expansion Methods

    • Habib Ammari, Hyeonbae Kang
    Pages 447-499
  13. Sampling Methods

    • Martin Hanke, Andreas Kirsch
    Pages 501-550
  14. Inverse Scattering

    • David Colton, Rainer Kress
    Pages 551-598
  15. Electrical Impedance Tomography

    • Andy Adler, Romina Gaburro, William Lionheart
    Pages 599-654
  16. Synthetic Aperture Radar Imaging

    • Margaret Cheney, Brett Borden
    Pages 655-690
  17. Tomography

    • Gabor T. Herman
    Pages 691-733
  18. Optical Imaging

    • Simon R. Arridge, Jari P. Kaipio, Ville Kolehmainen, Tanja Tarvainen
    Pages 735-780
  19. Mathematics of Photoacoustic and Thermoacoustic Tomography

    • 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.

Reviews

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)

Editors and Affiliations

  • Computational Science Center, University of Vienna, Vienna, Austria

    Otmar Scherzer

  • RICAM, Austrian Academy of Sciences, Linz, Austria

    Otmar Scherzer

Bibliographic Information

Buying options

eBook USD 679.00
Price excludes VAT (USA)
  • ISBN: 978-0-387-92920-0
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout