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Early Results on General Vertex Sets and Truncated Projections in Cone-Beam Tomography

  • Rolf Clackdoyle
  • Michel Defrise
  • Frédéric Noo
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 110)

Abstract

This paper summarizes a talk titled “Some recent results in cone-beam tomography” which was presented at the IMA workshop “Computational Radiology and Imaging: Therapy and Diagnostics” March 17–21, 1997.

A cone-beam projection of some object is a collection of rays-sums through the object where all the rays converge in a single “vertex point” in space.Usually this vertex point is outside the object and is often assumed that from each vertex-point, every non-zero ray-sum through the object is available.If some of these ray-sums are not available, the cone-beam projection is called a truncated projection.

Several algorithms are available to reconstruct the object from its cone-beam projections,under the assumptions that the vertex point travels along a suitable path in space and that no projection is truncated data will be discussed,and an algorithm that is able to reconstruct from a discrete,unordered set of vertex points (but with no truncated projections) will be presented.

Images obtained from these algorithms will be presented for the cases of computer -simulated data, and for data taken from a large-area CT scanner.

Keywords

Single Photon Emission Compute Tomography Vertex Point Dynamic Single Photon Emission Compute Tomography Vertex Path Computational Radiology 
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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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Rolf Clackdoyle
    • 1
  • Michel Defrise
    • 2
  • Frédéric Noo
    • 3
  1. 1.University of UtahUSA
  2. 2.Free University of BrusselsBelgium
  3. 3.University of LiègeBelgium

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