Filter for Tomographic Reconstructions

A method for applying a filter component for an analytical tomographic reconstruction technique, e.g. filtered backprojection, used in tomographic comprises providing an algebraic reconstruction algorithm for reconstructing a spatial representation of a volume of interest from a projection data set. It thereby takes into account a geometry of the tomographic imaging. The method also comprises applying the algebraic reconstruction algorithm to a plurality of virtual projection data sets—corresponding with a basis vector of a basis for the projection space—to produce a plurality of reconstructed spatial representations and determining the filter component using the plurality of reconstructed spatial representations, and applying the filter. Applying the analytical reconstruction technique with the determined filter component may inherit beneficial properties from the algebraic reconstruction algorithm, e.g. versatility and robustness to noise, without incurring the associated computational cost.