Patent ID: 8630474

Claim:
A method for filtered back-projection of a projection image data set, consisting of: providing a projection image data set, acquired by panning an x-ray source through a plurality of projection angles with respect to an image plane, to a processor and, in said processor, cosine-weighting said projection image data set to obtain a cosine-weighted projection image data set g 1 ; in said processor, subjecting the cosine-weighted projection image data set g 1 within said image plane to a two-dimensional Radon transformation according to a Radon transform g 2 ; in said processor, differentiating the Radon transform g 2 of the cosine-weighted projection image data set g 1 with respect to a distance from an image origin of an image coordinate system, to obtain a differentiated Radon transform g 3 ; in said processor, redundancy-weighting the differentiated Radon transform g 3 , to obtain a redundancy-weighted derivative ĝ 4 , in said processor, subjecting the redundancy-weighted derivative ĝ 4 to a two-dimensional Radon back-transformation, thereby obtaining a Radon back-transform ĝ 5 ; and in said processor, differentiating and back-projecting the Radon back-transform ĝ 5 with respect to an image column coordinate u with differentiation step with delta u*, and varying said differentiation step with delta u* depending on depth.