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Theorems for the number of zeros of the projection radial modulators of the 2D exponential radon transform

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Mathematical Methods in Tomography

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1497))

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Abstract

Theorems and a transformation formula are developed for the 2D exponential Radon transform (ERT) whereby theorems for the number of nodes of radial modulators of the X-ray transform (no attenuation of internal sources) can be extended to the ERT. The results were applied to SPECT simulations with angular under-sampling, and a spectral filter was shown to improve image quality in the region affected by angular aliasing, without altering interior regions that were not affected by angular aliasing.

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References

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Author information

Authors and Affiliations

  1. Johns Hopkins Medical Institutions, 402 N. Bond St., 21231, Baltimore, MD, USA

    W. G. Hawkins, N-C Yang & P. K. Leichner

Authors
  1. W. G. Hawkins
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  2. N-C Yang
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  3. P. K. Leichner
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Editor information

Editors and Affiliations

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

    Gabor T. Herman

  2. Fachbereich Mathematik, Universität des Saarlandes, 6600, Saarbrücken, Germany

    Alfred K. Louis

  3. Institut für Numerische und Instrumentelle Mathematik, Universität Münster, Einsteinstraße 62, 4400, Münster, Germany

    Frank Natterer

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© 1991 Springer-Verlag Berlin Heidelberg

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Hawkins, W.G., Yang, NC., Leichner, P.K. (1991). Theorems for the number of zeros of the projection radial modulators of the 2D exponential radon transform. In: Herman, G.T., Louis, A.K., Natterer, F. (eds) Mathematical Methods in Tomography. Lecture Notes in Mathematics, vol 1497. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084519

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  • DOI: https://doi.org/10.1007/BFb0084519

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54970-3

  • Online ISBN: 978-3-540-46615-4

  • eBook Packages: Springer Book Archive

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