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.
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Clackdoyle, R., Defrise, M., Noo, F. (1999). Early Results on General Vertex Sets and Truncated Projections in Cone-Beam Tomography. In: Börgers, C., Natterer, F. (eds) Computational Radiology and Imaging. The IMA Volumes in Mathematics and its Applications, vol 110. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1550-9_7
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DOI: https://doi.org/10.1007/978-1-4612-1550-9_7
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