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Summary: Accelerating X-Ray data collection using Pyramid Beam ray casting
geometries
Amir Averbuch1
Guy Lifchitz2
Y. Shkolnisky3
1
School of Computer Science
2
Department of Applied Mathematics, School of Mathematical Sciences
Tel Aviv University, Tel Aviv 69978
3
Program of Applied Mathematics, Department of Mathematics
Yale University, New Haven, CT, USA
Abstract
Image reconstruction from its projections is a necessity in many applications such as medical
(CT), security, inspection and others. This paper extends the 2D Fan-beam method in [2] to three
dimensions. The algorithm, called Pyramid Beam (PB), is based on the parallel reconstruction al-
gorithm in [1]. It allows fast capturing of the scanned data. In three dimensions, the reconstructions
are based on the discrete X-Ray transform [1]. The PB based algorithms have different geometries
where simplicity of the capturing geometries is emphasized. The PB geometries are reordered to
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