A simple and efficient super-short-scan algorithm of fan-beam reconstruction for multiple circular trajectories: solution towards the truncated data
Résumé
The sufficiency condition of the accurate
reconstruction of the region of interest (ROI) in fanbeam
tomography with non-truncated data was introduced
by F. Noo([1]). When the detector does not
cover the whole objet, R. Clackdoyle extended this
condition of the accurate reconstruction of ROI in
presence of the truncated data using virtual fan-beam
method (VFB) [2]. In this paper, we are interested
in the image reconstruction of the whole object from
truncated data, since the whole object reconstruction
is always preferred even with small detector, instead
of the accurate reconstruction of only a region. We
propose a simple and efficient super-short-scan algorithm
for multiple circular trajectories to reconstruct
the whole object from truncated fan-beam projections.
This algorithm is validated by simulation studies.
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