The Mathematical Institute, University of Oxford, Eprints Archive

Computed tomography from X-rays: old 2-D results, new 3-D problems

Miller, Keith (2004) Computed tomography from X-rays: old 2-D results, new 3-D problems. Technical Report. Unspecified. (Submitted)

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Abstract

We consider old results on 2-D computerized tomography methods and their relevance to new fully 3-D problems. We examine the 2-D filtered back-projection method (FBP) from several perspectives to better understand how it works. Based on that understanding, we question whether stable, reliable reconstruction algorithms can be found for wide-detector cone-beam 3-D machines with their resulting large-slant beams. We use a numerical method of "point response function fitting" to compute convolution kernels H(u, v) (for use with back-projection) for a model slant-beam problem. These kernels exhibit disturbing growing and spreading oscillations which would greatly amplify errors in the projection data.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1174
Deposited By:Lotti Ekert
Deposited On:14 May 2011 08:43
Last Modified:14 May 2011 08:43

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