Avoiding the backprojection weight in short-scan CT reconstruction

In this paper, we present a technique to modify the power of the backprojection weight in analytic CT reconstruction formulas. The technique is applicable whenever the processing step that precedes the backprojection can be formulated as a data differentiation. To illustrate its merit, we apply our technique to the classical, ramp-filter based, short-scan fan-beam reconstruction formula to obtain a new short-scan filtered-backprojection formula with no backprojection weight. This new formula is evaluated using the Shepp-Logan phantom and shows improvement in uniformity of noise and resolution.