The IMA Volumes in Mathematics and its Applications

Computational Radiology and Imaging

Therapy and Diagnostics

Editors: Börgers, Christoph, Natterer, Frank (Eds.)

Free Preview

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-1-4612-1550-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.99
price for USA in USD
  • ISBN 978-1-4612-7189-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

Table of contents (12 chapters)

Table of contents (12 chapters)
  • The Radiation Therapy Planning Problem

    Börgers, Christoph

    Pages 1-16

  • Mathematical Models for Medical Imaging

    Natterer, Frank

    Pages 17-32

  • Tomography Through the Transport Equation

    Anikonov, D. S. (et al.)

    Pages 33-44

  • A General Framework for Iterative Reconstruction Algorithms in Optical Tomography, Using a Finite Element Method

    Arridge, Simon R. (et al.)

    Pages 45-70

  • Scattered Radiation in Nuclear Medicine: A Case Study on the Boltzmann Transport Equation

    Barrett, Harrison H. (et al.)

    Pages 71-100

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-1-4612-1550-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.99
price for USA in USD
  • ISBN 978-1-4612-7189-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Computational Radiology and Imaging
Book Subtitle
Therapy and Diagnostics
Editors
  • Christoph Börgers
  • Frank Natterer
Series Title
The IMA Volumes in Mathematics and its Applications
Series Volume
110
Copyright
1999
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York, Inc.
eBook ISBN
978-1-4612-1550-9
DOI
10.1007/978-1-4612-1550-9
Softcover ISBN
978-1-4612-7189-5
Series ISSN
0940-6573
Edition Number
1
Number of Pages
X, 288
Topics