International Journal of Biomedical Imaging
Volume 2006 (2006), Article ID 10427, 9 pages
doi:10.1155/IJBI/2006/10427
Abstract
Lambda tomography (LT) is to reconstruct a gradient-like image of
an object only from local projection data. It is potentially an
important technology for medical X-ray computed tomography (CT) at
a reduced radiation dose. In this paper, we prove the first
general formula for exact and efficient fan-beam LT from data
collected along any smooth curve based on even and odd data
extensions. As a result, an LT image can be reconstructed without
involving any data extension. This implies that structures outside
a scanning trajectory do not affect the exact reconstruction of
points inside the trajectory even if the data may be measured
through the outside features. The algorithm is simulated in a
collinear coordinate system. The results support our theoretical
analysis.