Topics in Tomography

  • Avner Friedman
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 31)

Abstract

In computerized tomography X-ray transmission measurements are recorded on a computer memory and a mathematical algorithm is applied to produce a numerical description of the tissue density as a function of position within a thin slice of the body. This function is then displayed visually. The X-ray machine projects several hundred parallel pencil beams in the plane of the slice, and the attenuation of each beam is recorded. This procedure is then repeated many times with a small change in the angle at each time. The mathematical problem is to devise an efficient algorithm for computing the density function from the X-ray measurements.

Keywords

Manifold Attenuation Convolution Radon Phan 

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Copyright information

© Springer-Verlag New York, Inc. 1990

Authors and Affiliations

  • Avner Friedman
    • 1
  1. 1.Institute for Mathematics and its ApplicationsUniversity of MinnesotaMinneapolisUSA

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