Regularization methods for inverse problems in X-ray tomography

Scintillators, optical systems and CCD cameras used to record projections also blur them. Therefore the recorded projections are smooth functions of spatial variables. This can be used to construct special methods to suppress ring artefacts. Several such algorithms based on ideas of the theory of inverse and ill-posed problems and using various forms of Tikhonov functional are proposed: a fast ring artefact suppression algorithm in a case of homogeneous specimens and its modified versions for anisotropically attenuated samples.