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22 October 2004 A new supershort-scan algorithm for fan beam and cone beam reconstruction
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In this paper we discuss image reconstruction algorithms in super-short-scan fan-beam and cone-beam computed tomography (CT). We propose a new fan-beam filtered back-projection algorithm which can obtain exact region of interest (ROI) reconstruction if and only if every projecting line passing through the ROI intersects the source trajectory, even if the scanning range is smaller than the half-scan. And we prove the algorithm is approximate when the projections are truncated. Furthermore, we expand the algorithm to cone-beam reconstruction. Then we simulate the algorithm on the computer and evaluate the noise properties of the new algorithm and the other algorithms. Numerical results in our work suggest that the new algorithm is generally less susceptible to data noise and less artifacts than the before algorithms. In particular, the new algorithm is easily and successfully expanded to cone-beam tomography when the source trajectory is a short-arc on the single circle or on the helical trajectory.
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Liang Li, Zhiqiang Chen, Kejun Kang, and Ziran Zhao "A new supershort-scan algorithm for fan beam and cone beam reconstruction", Proc. SPIE 5562, Image Reconstruction from Incomplete Data III, (22 October 2004);

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