A local region of interest image reconstruction via filtered backprojection for fan-beam differential phase-contrast computed tomography |
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Authors: | Qi Zhihua Chen Guang-Hong |
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Affiliation: | Department of Medical Physics, University of Wisconsin in Madison, 600 Highland Avenue, Madison, WI 53792-1590, USA. |
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Abstract: | Recently, x-ray differential phase contrast computed tomography (DPC-CT) has been experimentally implemented using a conventional source combined with several gratings. Images were reconstructed using a parallel-beam reconstruction formula. However, parallel-beam reconstruction formulae are not directly applicable for a large image object where the parallel-beam approximation fails. In this note, we present a new image reconstruction formula for fan-beam DPC-CT. There are two major features in this algorithm: (1) it enables the reconstruction of a local region of interest (ROI) using data acquired from an angular interval shorter than 180 degrees + fan angle and (2) it still preserves the filtered backprojection structure. Numerical simulations have been conducted to validate the image reconstruction algorithm. |
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