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Updated: Apr 3, 2026
High Resolution 3D Imaging of Ex-Vivo Biological Samples by Micro CT
Published on: June 21, 2011
Data consistency condition for truncated projections in fan-beam geometry
Hengyong Yu1, Ge Wang2, Jiansheng Yang3
1Department of Electrical and Computer Engineering, University of Massachusetts Lowell, Lowell, MA, USA.
Abstract:
It is well known that CT projections are redundant. Over the past decades, significant efforts have been devoted to characterize the data redundancy in different aspects. Very recently, Clackdoyle and Desbat reported a new integral-type data consistency condition (DCC) for truncated 2D parallel-beam projections, which can be applied to a region inside a field of view (FOV) but outside of the convex hull of the compact support of an object. Inspired by their work, here we derive a more general condition for 2D fan-beam geometry with a general scanning trajectory. This extended DCC is verified with simulated projections of the Shepp-Logan phantom and a clinically collected sinogram. Then, we demonstrate an application of the proposed DCC.
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