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Cone-beam local reconstruction based on Radon inversion transform |
Wang Xian-Chao (汪先超), Yan Bin (闫镔), Li Lei (李磊), Hu Guo-En (胡国恩 ) |
National Digital Switching System Engineering and Technological Research Center, Zhengzhou 450002, China |
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Abstract The local reconstruction from truncated projection data is one area of interest in image reconstruction for computed tomography (CT), which creates the possibility for dose reduction. In this paper, a filtered-backprojection (FBP) algorithm based on the Radon inversion transform is presented to deal with the three-dimensional (3D) local reconstruction in the circular geometry. The algorithm achieves the data filtering in two steps. The first step is the derivative of projections, which acts locally on the data and can thus be carried out accurately even in the presence of data truncation. The second step is the nonlocal Hilbert filtering. The numerical simulations and the real data reconstructions have been conducted to validate the new reconstruction algorithm. Compared with the approximate truncation resistant algorithm for computed tomography (ATRACT), not only it has a comparable ability to restrain truncation artifacts, but also its reconstruction efficiency is improved. It is about twice as fast as that of the ATRACT. Therefore, this work provides a simple and efficient approach for the approximate reconstruction from truncated projections in the circular cone-beam CT.
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Received: 28 April 2012
Revised: 24 May 2012
Accepted manuscript online:
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PACS:
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87.59.-e
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(X-ray imaging)
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07.85.-m
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(X- and γ-ray instruments)
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Fund: Project supported by the National High Technology Research and Development Program of China (Grant No. 2012AA011603). |
Corresponding Authors:
Yan Bin
E-mail: ybspace@yahoo.com.cn
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Cite this article:
Wang Xian-Chao (汪先超), Yan Bin (闫镔), Li Lei (李磊), Hu Guo-En (胡国恩 ) Cone-beam local reconstruction based on Radon inversion transform 2012 Chin. Phys. B 21 118702
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