General reconstruction formulas for analyzer-based computed tomography

Abstract

General formulas are derived for computed tomography reconstruction in analyzer-based imaging. Two image acquisition geometries are investigated. In the first geometry, which is widely used, the rotation axis of the object is perpendicular to that of the analyzer crystal. In the second geometry, in which the rotation axes are parallel, the reconstruction formulas are shown to be significantly simpler and more stable with respect to noise in experimental data. © 2006 American Institute of Physics.