Computational Radiology and Imaging

Therapy and Diagnostics

  • Christoph Börgers
  • Frank Natterer

Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 110)

Table of contents

  1. Front Matter
    Pages i-x
  2. Introduction

    1. Christoph Börgers
      Pages 1-16
    2. Frank Natterer
      Pages 17-32
  3. Articles by Workshop Speakers

    1. D. S. Anikonov, A. E. Kovtanyuk, I. V. Prokhorov
      Pages 33-44
    2. Harrison H. Barrett, Brandon Gallas, Eric Clarkson, Anne Clough
      Pages 71-100
    3. Rolf Clackdoyle, Michel Defrise, Frédéric Noo
      Pages 113-135
    4. David Colton, Peter Monk
      Pages 137-156
    5. Michael V. Klibanov, Thomas R. Lucas, Robert M. Frank
      Pages 157-181
    6. Robert Y. Levine, Eugene A. Gregerson, Marcia M. Urie
      Pages 183-227
    7. Weldon A. Lodwick, Steve McCourt, Francis Newman, Stephen Humphries
      Pages 229-249
    8. Roberto Marabini, Gabor T. Herman, José M. Carazo
      Pages 251-281
  4. Back Matter
    Pages 282-288

About this book


The articles collected in this volume are based on lectures given at the IMA Workshop, "Computational Radiology and Imaging: Therapy and Diagnostics", March 17-21, 1997. Introductory articles by the editors have been added. The focus is on inverse problems involving electromagnetic radiation and particle beams, with applications to X-ray tomography, nuclear medicine, near-infrared imaging, microwave imaging, electron microscopy, and radiation therapy planning. Mathematical and computational tools and models which play important roles in this volume include the X-ray transform and other integral transforms, the linear Boltzmann equation and, for near-infrared imaging, its diffusion approximation, iterative methods for large linear and non-linear least-squares problems, iterative methods for linear feasibility problems, and optimization methods. The volume is intended not only for mathematical scientists and engineers working on these and related problems, but also for non-specialists. It contains much introductory expository material, and a large number of references. Many unsolved computational and mathematical problems of substantial practical importance are pointed out.


Approximation X-ray algorithms diagnostics differential equation electron microscopy imaging medical imaging medicine nuclear medicine optimization radiation radiology radiotherapy tomography

Editors and affiliations

  • Christoph Börgers
    • 1
  • Frank Natterer
    • 2
  1. 1.Department of MathematicsTufts UniversityMedfordUSA
  2. 2.Institut für Numerische und instrumentelle MathematikUniversität MünsterMünsterGermany

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag New York, Inc. 1999
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7189-5
  • Online ISBN 978-1-4612-1550-9
  • Series Print ISSN 0940-6573
  • Buy this book on publisher's site