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Mathematics and Computer Science in Medical Imaging

  • Conference proceedings
  • © 1988

Overview

Editors:
  1. Max A. Viergever

    1. Department of Mathematics and Informatics, Delft University of Technology, Delft, The Netherlands

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    You can also search for this editor in PubMed   Google Scholar

  2. Andrew Todd-Pokropek

    1. Department of Medical Physics, University College London, London, UK

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: NATO ASI Subseries F: (NATO ASI F, volume 39)

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Table of contents (29 papers)

  1. Front Matter

    Pages I-VIII
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  2. Introduction to and Overview of the Field

    1. Front Matter

      Pages 1-1
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    2. Introduction to Integral Transforms

      • Aldo Rescigno
      Pages 3-42

    3. Introduction to Discrete Reconstruction Methods in Medical Imaging

      • Max A. Viergever
      Pages 43-65

    4. Image Structure

      • Jan J. Koenderink
      Pages 67-104

    5. Fundamentals of the Radon Transform

      • Harrison H. Barrett
      Pages 105-125

    6. Regularization Techniques in Medical Imaging

      • Frank Natterer
      Pages 127-141

    7. Statistical Methods in Pattern Recognition

      • C. Robert Appledorn
      Pages 143-166

    8. Image Data Compression Techniques: A Survey

      • A. Todd-Pokropek
      Pages 167-195

    9. From 2D to 3D Representation

      • Gabor T. Herman
      Pages 197-220

    10. VLSI-Intensive Graphics Systems

      • Henry Fuchs
      Pages 221-240

    11. Knowledge Based Interpretation of Medical Images

      • John Fox, Nicholas Walker
      Pages 241-266

  3. Selected Topics

    1. Front Matter

      Pages 267-267
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    2. Analytic Reconstruction Methods

      1. The Attenuated Radon Transform
        • Frank Natterer
        Pages 271-277
      2. Inverse Imaging with Strong Multiple Scattering
        • S. Leeman, V. C. Roberts, P. E. Chandler, L. A. Ferrari
        Pages 279-289

    3. Iterative Methods

      1. Possible Criteria for Choosing the Number of Iterations in Some Iterative Reconstruction Methods
        • M. Defrise
        Pages 293-303
      2. Initial Performance of Block-Iterative Reconstruction Algorithms
        • Gabor T. Herman, Haim Levkowitz
        Pages 305-317
      3. Maximum Likelihood Reconstruction in PET and TOFPET
        • Chin-Tu Chen, Charles E. Metz, Xiaoping Hu
        Pages 319-329
      4. Maximum Likelihood Reconstruction for SPECT Using Monte Carlo Simulation
        • Carey E. Floyd Jr., Stephen H. Manglos, Ronald J. Jaszczak, R. Edward Coleman
        Pages 331-338
      5. X-Ray Coded Source Tomosynthesis
        • I. E. Magnin
        Pages 339-349
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Keywords

About this book

Medical imaging is an important and rapidly expanding area in medical science. Many of the methods employed are essentially digital, for example computerized tomography, and the subject has become increasingly influenced by develop­ ments in both mathematics and computer science. The mathematical problems have been the concern of a relatively small group of scientists, consisting mainly of applied mathematicians and theoretical physicists. Their efforts have led to workable algorithms for most imaging modalities. However, neither the fundamentals, nor the limitations and disadvantages of these algorithms are known to a sufficient degree to the physicists, engineers and physicians trying to implement these methods. It seems both timely and important to try to bridge this gap. This book summarizes the proceedings of a NATO Advanced Study Institute, on these topics, that was held in the mountains of Tuscany for two weeks in the late summer of 1986. At another (quite different) earlier meeting on medical imaging, the authors noted that each of the speakers had given, there, a long introduction in their general area, stated that they did not have time to discuss the details of the new work, but proceeded to show lots of clinical results, while excluding any mathematics associated with the area.

Editors and Affiliations

  • Department of Mathematics and Informatics, Delft University of Technology, Delft, The Netherlands

    Max A. Viergever

  • Department of Medical Physics, University College London, London, UK

    Andrew Todd-Pokropek

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