Tomographic artefacts suppression via backprojection operator optimization

An approach is described for determining a vector of summation weights which gives the best approximation in backprojection operation for image reconstruction from projections. An algorithm for the best choice of summation weights is presented and their influence on the reconstruction quality in the case of few projections is illustrated. Extension of the approach to the projection decomposed parts is considered. The method suggested results in artefacts suppression and reconstruction accuracy improvement.