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Image Reconstruction and the Solution of Inverse Problems in Medical Imaging

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Book cover Medical Images: Formation, Handling and Evaluation

Part of the book series: NATO ASI Series ((NATO ASI F,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.

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References

  • 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.

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

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

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

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

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

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Author information

Authors and Affiliations

  1. University of Arizona, Tucson, Az, USA

    Harrison H. Barrett

Authors
  1. Harrison H. Barrett
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Editor information

Editors and Affiliations

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

    Andrew E. Todd-Pokropek

  2. Computer Vision Research Group University Hospital Utrecht E02.222, Utrecht University, Heidelberglaan 100, 3584 CX, Utrecht, The Netherlands

    Max A. Viergever

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© 1992 Springer-Verlag Berlin Heidelberg

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Barrett, H.H. (1992). Image Reconstruction and the Solution of Inverse Problems in Medical Imaging. In: Todd-Pokropek, A.E., Viergever, M.A. (eds) Medical Images: Formation, Handling and Evaluation. NATO ASI Series, vol 98. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77888-9_1

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  • DOI: https://doi.org/10.1007/978-3-642-77888-9_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-77890-2

  • Online ISBN: 978-3-642-77888-9

  • eBook Packages: Springer Book Archive

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