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

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.

Keywords

  • Single Photon Emission Compute Tomography
  • Transformation Formula
  • Line Integral
  • Radial Modulator
  • Spectral Filter

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

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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

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