2 March 2006 Reconstructions from parallel- and fan-beam data with truncations
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Abstract
A formula was recently described by Clackdoyle et. al. for image reconstruction within a region of interest (ROI) from knowledge of its truncated 2D Radon transform. In this work, we present an alternative, simple derivation of the formula by using the well-known relationship between the parallel-beam and fan-beam geometries. Based upon our derivation, the role of parameter t in the formula in ROI-image reconstruction can be clearly identified. We show that the parameter t determines the size of a reconstructible ROI from parallel-beam data containing truncations. Numerical studies were performed to by use of the formula with different t. We show that the formula yields ROI images with smaller sizes and lower quality than does our backprojection filtration algorithm.
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Dan Xia, Yu Zou, Xiaochuan Pan, "Reconstructions from parallel- and fan-beam data with truncations", Proc. SPIE 6142, Medical Imaging 2006: Physics of Medical Imaging, 614222 (2 March 2006); doi: 10.1117/12.652236; https://doi.org/10.1117/12.652236
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