Some Suggestions for Transmission Tomography Based on the EM Algorithm

  • John T. Kent
  • Christopher Wright
Part of the Lecture Notes in Statistics book series (LNS, volume 74)


The standard reconstruction method in transmission tomography is convolution back-projection. The purpose of this work is to investigate the extent to which the quality of the reconstruction can be improved by taking into account the stochastic nature of the measurement process and the underlying regularity of the image. Some interim results are presented based on the EM algorithm.


Trabecular Bone Attenuation Coefficient Detector Count Label Pixel Human Wrist 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. DEANS, S.R., (1983) “The Radon Transform and some of its applications”, Wiley-Interscience, New York.Google Scholar
  2. GREEN, P.J., (1990) “On the use of the EM algorithm for penalized likelihood estimation”, J. Roy. Statist. Soc. Ser. B, 52, pp. 443–452.MathSciNetzbMATHGoogle Scholar
  3. HORSMAN, A., Sutcliffe, J., BURKINSHAW, L., WILD, P., SKILLING, J., WEBB, S., (1987) “Isotope computed tomography using cone beam geometry: a comparison of two reconstruction algorithms”, Phys. Med. Biol., 32 pp 1221–1235.CrossRefGoogle Scholar
  4. LANGE, K. and CARSON, R., (1984) “EM reconstruction algorithms for emission and transmission tomography”, J. Comput. Assist. Tomog., 8, pp. 306–316.Google Scholar
  5. SHEPP, L.A. and KRUSKAL, J.B., (1978) “Computerized tomography: the new medical X-ray technology, Amer. Math. Monthly, 85, pp. 420–439.Google Scholar
  6. SILVERMAN, B.W., JONES, M.C., WILSON, J.D. and NYCHKA, D.W., (1990) “A smoothed EM approach to indirect estimation problems with particular reference to stereology and emission tomography”, J. Roy. Statist. Soc. Ser. B, 52, pp. 271–324.MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • John T. Kent
    • 1
  • Christopher Wright
    • 1
  1. 1.Department of StatisticsUniversity of LeedsLeedsEngland

Personalised recommendations