1. In a fan beam computed tomographic system having a detector system for taking a plurality of projections at a plurality of angles, each projection defining a plurality of projection bins, the computed tomographic system having a given center of rotation which is shifted from the midline of the fan by a shift distance which varies as a function of projection angle, a method of compensating for the shift in performing the computed tomographic reconstruction comprising the steps of, producing a weighting function for each projection bin in each projection set which is dependent on the detector geometry and the magnitude of the shift for the respective projections, weighting the information in each projection bin with its associated weighting function to produce corrected projection sets, convolving the corrected projection sets with a filter function to produce convolved corrected projection sets, setting up a corrdinate system in pixelized space taking into account the shift and its variance as a function of projection angle, and back projecting the convolved corrected projection sets into the pixelized space using said coordinate system to produce a CT image corrected for the variable shift.