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Image reconstruction from fan-beam projections on less than a short scan

par Noo, Frédéric;Defrise, Michel ;Clackdoyle, Rolf;Kudo, Hiroyuki
Référence Physics in medicine and biology, 47, 14, page (2525-2546)
Publication Publié, 2002-07

Article révisé par les pairs

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Résumé :

This work is concerned with 2D image reconstruction from fan-beam projections. It is shown that exact and stable reconstruction of a given region-of-interest in the object does not require all lines passing through the object to be measured. Complete (non-truncated) fan-beam projections provide sufficient information for reconstruction when 'every line passing through the region-of-interest intersects the vertex path in a non-tangenital way'. The practical implications of this condition are discussed and a new filtered-backprojection algorithm is derived for reconstruction. Experiments with computer-simulated data are performed to support the mathematical results.