Implementation and Analysis of Katsevich Reconstruction for Helical Scan CT

Tregidgo, Henry F.J. (2013) Implementation and Analysis of Katsevich Reconstruction for Helical Scan CT. Masters thesis, The University of Manchester.

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Abstract

In performing X-ray Computed Tomography two major constraints are the required acquisition time and X-ray dose for the scans. One method of reducing these is to take the scan by moving source and detector in one continuous helix relative to the object, rather than taking several separate circular scans. This Dissertation examines two implementations of the derivatives required for the Katsevich reconstruction algorithm for helical cone beam micro-CT, both the original implementation suggested by Noo et al.[2003] and an alternate formulation proposed by Katsevich[2011]. A new bound on a parameter used by the second formulation is suggested and methods for dealing with practical difficulties when reconstructing real scan data are proposed.

Item Type: Thesis (Masters)
Uncontrolled Keywords: Helical Scan CT, Katsevich Reconstruction Algorithm, Numerical Implementation
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 44 Integral transforms, operational calculus
MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis
PACS 2010, the AIP's Physics and Astronomy Classification Scheme > 70 CONDENSED MATTER - ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES > 78 Optical properties, condensed-matter spectroscopy and other interactions of radiation and particles with condensed matter
Depositing User: Dr Henry F.J. Tregidgo
Date Deposited: 23 May 2016
Last Modified: 20 Oct 2017 14:13
URI: http://eprints.maths.manchester.ac.uk/id/eprint/2475

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