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Discrete Tomography: A Historical Overview

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Discrete Tomography

Part of the book series: Applied and Numerical Harmonic Analysis ((ANHA))

Abstract

In this chapter we introduce the topic of discrete tomography and give a brief historical survey of the relevant contributions. After discussing the nature of the basic theoretical problems (those of consistency, uniqueness, and reconstruction) that arise in discrete tomography, we give the details of the classical special case (namely, two-dimensional discrete sets — i.e.,binary matrices — and two orthogonal projections) including a polynomial time reconstruction algorithm. We conclude the chapter with a summary of some of the applications of discrete tomography.

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Author information

Authors and Affiliations

  1. Department of Applied Informatics, József Attila University, Árpád tér 2, Szeged, H-6720, Hungary

    Attila Kuba

  2. Department of Radiology, Medical Image Processing Group, University of Pennsylvania, Blockley Hall, Fourth Floor, 423 Guardian Drive, Philadelphia, PA, 19104-6021, USA

    Gabor T. Herman

Authors
  1. Attila Kuba
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  2. Gabor T. Herman
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Editors and Affiliations

  1. Department of Radiology, University of Pennsylvania, Philadelphia, PA, 19104, USA

    Gabor T. Herman

  2. Department of Applied Informatics, József Attila University, Szeged, H-6701, Hungary

    Attila Kuba

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Kuba, A., Herman, G.T. (1999). Discrete Tomography: A Historical Overview. In: Herman, G.T., Kuba, A. (eds) Discrete Tomography. Applied and Numerical Harmonic Analysis. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1568-4_1

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  • DOI: https://doi.org/10.1007/978-1-4612-1568-4_1

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7196-3

  • Online ISBN: 978-1-4612-1568-4

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