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Image Reconstruction and the Solution of Inverse Problems in Medical Imaging

  • Harrison H. Barrett
Part of the NATO ASI Series book series (volume 98)

Abstract

An overview of reconstruction methods applicable to medical tomography is given. Analytic methods based on the continuous form of the inverse Radon transform and matrix inversion and pseudoinversion methods based on a discrete formalism are presented. Statistical principles such as maximum likelihood and Bayesian estimation are also discussed.

Keywords

Inverse Problem Point Spread Function Modulation Transfer Function Line Integral Projection Angle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Barrett, H.H. (1988). Fundamentals of the Radon Transform. In: Mathematics and Computer Science in Medical Imaging, M. A. Viergever, A. Todd-Pokropek (eds), Springer-Verlag, Berlin, pp. 105–125.CrossRefGoogle Scholar
  2. Barrett, H.H. (1984). The Radon Transform and Its Applications, Progress in Optics XXI, E. Wolf (ed).Google Scholar
  3. Barrett, H. H. and Swindell, W. (1981) Radiological Imaging: Theory of Image Formation, Detection and Processing (Vols. I and II) Academic Press, new YorkGoogle Scholar
  4. Deans, S.R. (1983). The Radon Transform and Some of Its Applications, Wiley, New York.Google Scholar
  5. Helgason, S. (1980). The Radon Transform, Birkhauser, Boston.Google Scholar
  6. Radon, J. (1917). Ueber die Bestimmung von Funktionen durch ihre Integralwerte langs gewisser Mannigfaltigkeiten, Ber. Saechs. Akad. Wiss. (Leipzig) 69, pp. 262–278.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Harrison H. Barrett
    • 1
  1. 1.University of ArizonaTucsonUSA

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