OTTO-VON-GUERICKE-UNIVERSITAT MAGDEBURGInstitute for Electronics, Signal Processing and CommunicationCorrection of Non-Periodic Motionin Computed TomographyDISSERTATIONzur Erlangung des akademischen GradesDoktor-Ingenieur (Dr.-Ing.)von M.Sc. Colas Schrettergeb. am 21 Januar 1979 in Braine L’Alleud, Belgiengenehmigt durchdie Fakultat fur Elektrotechnik und Informationstechnik der Otto-von-Guericke Universitat MagdeburgGutachter: Prof. Dr. rer. nat. Georg RoseProf. Dr. rer. nat. habil. Oliver SpeckProf. Dr.-Ing. Til AachPromotionskolloquium am 28 April 2010Correction of Non-Periodic Motionin Computed TomographyColas SchretterColophonAThis book was typeset using the L X editor. The generated LT Xcode was compiledY Eto produce a document in the Adobe PDF format. The bibliography has been gen-erated using BibT X. The electronic version of this document contains hyperlinks.EA click on any reference jumps in the appropriate location in the document such asequations, footnotes, and literature references. For each entry in the bibliography, alist of page numbers is mentioned as well with links pointing back to citations.CreditsThe pictures (a), (b), and (d) in the rst gure of the rst chapter are courtesyof Royal Philips Electronics Inc. The picture (c) is courtesy of Elekta AB(publ). The other images have been generated with various algorithms written bythe author in the C++ programming language.