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  • Reference work
  • © 2015

Handbook of Mathematical Methods in Imaging

Editors:

  • Expanded and revised second edition with 10+ new entries and 200 illustrations
  • Comprehensive and rigorous treatment of mathematical methods in imaging
  • Available in both print and electronic form, with entries in hyperlinked PDF and html format
  • Includes supplementary material: sn.pub/extras

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Table of contents (44 entries)

  1. Front Matter

    Pages i-xviii
  2. Inverse Problems – Methods

    1. Front Matter

      Pages 1-1
    2. Linear Inverse Problems

      • Charles Groetsch
      Pages 3-46
    3. Large-Scale Inverse Problems in Imaging

      • Julianne Chung, Sarah Knepper, James G. Nagy
      Pages 47-90
    4. Regularization Methods for Ill-Posed Problems

      • Jin Cheng, Bernd Hofmann
      Pages 91-123
    5. Distance Measures and Applications to Multimodal Variational Imaging

      • Christiane Pöschl, Otmar Scherzer
      Pages 125-155
    6. Energy Minimization Methods

      • Mila Nikolova
      Pages 157-204
    7. Compressive Sensing

      • Massimo Fornasier, Holger Rauhut
      Pages 205-256
    8. Duality and Convex Programming

      • Jonathan M. Borwein, D. Russell Luke
      Pages 257-304
    9. EM Algorithms

      • Charles Byrne, Paul P. B. Eggermont
      Pages 305-388
    10. Iterative Solution Methods

      • Martin Burger, Barbara Kaltenbacher, Andreas Neubauer
      Pages 431-470
    11. Level Set Methods for Structural Inversion and Image Reconstruction

      • Oliver Dorn, Dominique Lesselier
      Pages 471-532
  3. Inverse Problems – Case Examples

    1. Front Matter

      Pages 533-533
    2. Expansion Methods

      • Habib Ammari, Hyeonbae Kang
      Pages 535-590
    3. Sampling Methods

      • Martin Hanke-Bourgeois, Andreas Kirsch
      Pages 591-647
    4. Inverse Scattering

      • David Colton, Rainer Kress
      Pages 649-700
    5. Electrical Impedance Tomography

      • Andy Adler, Romina Gaburro, William Lionheart
      Pages 701-762
    6. Synthetic Aperture Radar Imaging

      • Margaret Cheney, Brett Borden
      Pages 763-799
    7. Tomography

      • Gabor T. Herman
      Pages 801-845

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.

This expanded and revised second edition contains updates to existing chapters and 16 additional entries on important mathematical methods such as graph cuts, morphology, discrete geometry, PDEs, conformal methods, to name a few. 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 200 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

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

    Otmar Scherzer

About the editor

Otmar Scherzer is a professor at the University of Austria.

Bibliographic Information

Buy it now

Buying options

eBook USD 1,200.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 549.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access