Skip to main content
SpringerLink
Log in
Book cover

Mathematics and Computer Science in Medical Imaging pp 105–125Cite as

Fundamentals of the Radon Transform

  • Conference paper

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

Abstract

The Radon transform is the mathematical basis of computed tomography and finds application in many other medical imaging modalities as well. In this chapter we present the fundamental mathematics of this transform and its inverse, with emphasis on the central-slice theorem.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Barrett, H.H. (1984). The Radon Transform and Its Applications, Progress in Optics XXI, E. Wolf (ed.).

    Google Scholar 

  • Lighthill, M.J. (1962). Fourier Analysis and Generalized Functions,Cambridge University Press.

    Google Scholar 

  • Barrett, H.H. and Swindell, W. (1981). Radiological Imaging: Theory of Image Formation, Detection and Processing, Academic Press, New York.

    Google Scholar 

  • Deans, S.R. (1983). The Radon Transform and Some of Its Applications, Wiley, New York.

    MATH  Google Scholar 

  • Helgason, S. (1980). The Radon Transform, Birkhaüser, Boston.

    MATH  Google Scholar 

  • Herman, G.T. (1980). Image Reconstruction from Projections, The Fundamentals of Computerized Tomography, Academic Press, New York.

    MATH  Google Scholar 

  • Radon, J. (1917). Ueber die Bestimmung von Funktionen durch ihre Integralwerte längs gewisser Mannigfaltigkeiten, Ber. Saechs. Akad. Wiss. (Leipzig) 69, pp. 262–278.

    Google Scholar 

  • Swindell, W. and Barrett, H.H. (1977). Computerized Tomography: Taking Sectional X-rays, Physics Today 30, pp. 32–41.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. University of Arizona, Tucson, AZ, USA

    Harrison H. Barrett

Authors
  1. Harrison H. Barrett
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Mathematics and Informatics, Delft University of Technology, P.O. Box 356, 2600 AJ, Delft, The Netherlands

    Max A. Viergever (Director) (Director)

  2. Department of Medical Physics, University College London, Gower Street, WC1E 6BT, London, UK

    Andrew Todd-Pokropek (Director) (Director)

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Barrett, H.H. (1988). Fundamentals of the Radon Transform. In: Viergever, M.A., Todd-Pokropek, A. (eds) Mathematics and Computer Science in Medical Imaging. NATO ASI Series, vol 39. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83306-9_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-83306-9_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-83308-3

  • Online ISBN: 978-3-642-83306-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation