Practical cone-beam algorithm
- 1 June 1984
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America A
- Vol. 1 (6), 612-619
- https://doi.org/10.1364/josaa.1.000612
Abstract
A convolution-backprojection formula is deduced for direct reconstruction of a three-dimensional density function from a set of two-dimensional projections. The formula is approximate but has useful properties, including errors that are relatively small in many practical instances and a form that leads to convenient computation. It reduces to the standard fan-beam formula in the plane that is perpendicular to the axis of rotation and contains the point source. The algorithm is applied to a mathematical phantom as an example of its performance.Keywords
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