Regularization methods for inverse problems in x-ray tomography

Valeriy Titarenko; Robert Bradley; Christopher Martin; Philip J. Withers; Sofya Titarenko

doi:10.1117/12.860260

1 September 2010 Regularization methods for inverse problems in x-ray tomography

Valeriy Titarenko, Robert Bradley, Christopher Martin, Philip J. Withers, Sofya Titarenko

Proceedings Volume 7804, Developments in X-Ray Tomography VII; 78040Z (2010) https://doi.org/10.1117/12.860260
Event: SPIE Optical Engineering + Applications, 2010, San Diego, California, United States

Abstract

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.

Citation Download Citation

Valeriy Titarenko, Robert Bradley, Christopher Martin, Philip J. Withers, and Sofya Titarenko "Regularization methods for inverse problems in x-ray tomography", Proc. SPIE 7804, Developments in X-Ray Tomography VII, 78040Z (1 September 2010); https://doi.org/10.1117/12.860260

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