Computational Radiology and Imaging pp 113-135 | Cite as

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

## 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## Preview

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