Dual-energy computed tomography (CT) reconstruction imaging technology is an important development direction in the field of CT imaging. The mainstream model of dual-energy CT reconstruction algorithm is the basis material decomposition model, and the projection decomposition is the crucial technique. The projection decomposition algorithm based on projection matching was a general method. With establishing the energy spectrum lookup table, we can obtain the stable solution by the least squares matching method. But the computation cost will increase dramatically when size of lookup table enlarges and it will slow down the computer. In this paper, an acceleration algorithm based on projection matching is proposed. The proposed algorithm makes use of linear equations and plane equations to fit the lookup table data, so that the projection value of the decomposition coefficients can be calculated quickly. As the result of simulation experiment, the acceleration algorithm can greatly shorten the running time of the program to get the stable and correct solution.
Citation:
HOU Xiaowen, LU Zipeng, TENG Yueyang, XIAO Dayu, FAN Shengyu, YANG Chaoran, LIU Yujia, KANG Yan. The acceleration algorithm for projection decomposition of dual-energy computed tomography image reconstruction based on projection matching. Journal of Biomedical Engineering, 2018, 35(3): 376-383. doi: 10.7507/1001-5515.201605009
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Long Yong, Fessler J A. Multi-material decomposition using statistical image reconstruction for spectral CT. IEEE Trans Med Imaging, 2014, 33(8): 1614-1626.
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王峰, 丘广新, 程效军. 改进的鲁棒迭代最小二乘平面拟合算法. 同济大学学报, 2011, 39(9): 1350-1354.
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Zhao Yunsong, Zhao Xing, Zhang Peng. An extended algebraic reconstruction technique (E-ART) for dual spectral CT. IEEE Trans Med Imaging, 2015, 34(3): 761-768.
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张伟军. 化合物或混合物的有效原子序数研究. 核电子学与探测技术, 2013, 33(1): 1-5.
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- 1. 李保磊, 张耀军. 基于投影匹配的 X 射线双能计算机层析成像投影分解算法. 光学学报, 2011, 31(3): 1-6.
- 2. Xing Yuxiang, Zhang Li, Duan Xinhui, et al. A reconstruction method for dual high-energy CT with MeV X-rays. IEEE Trans Nucl Sci, 2011, 58(2): 537-546.
- 3. 庄天戈. CT 原理与算法. 上海: 上海交通大学出版社, 1992: 1-154.
- 4. Chen Z K, Ning R, Conover D, et al. Dual-basis-material decomposition for dual-kVp cone-beam CT breast imaging. Rochester: University of Rochester, 2013, 25: 3-5.
- 5. Chiro G D, Brooks R A, Kessler R M, et al. Tissue signatures with dual-energy computed tomography. Radiology, 1979, 131(2): 521-523.
- 6. 赵云松, 张慧滔, 赵星, 等. 双能谱 CT 的迭代重建模型及重建方法. 电子学报, 2014, 42(2): 1-2.
- 7. Sukovic P, Clinthorne N H. Penalized weighted least-squares image reconstruction for dual energy X-ray transmission tomography. IEEE Trans Med Imaging, 2000, 19(11): 1075-1081.
- 8. Long Yong, Fessler J A. Multi-material decomposition using statistical image reconstruction for spectral CT. IEEE Trans Med Imaging, 2014, 33(8): 1614-1626.
- 9. 同济大学数学系. 高等数学(第六版)(下册). 北京: 高等教育出版社, 2007: 124-129.
- 10. 王峰, 丘广新, 程效军. 改进的鲁棒迭代最小二乘平面拟合算法. 同济大学学报, 2011, 39(9): 1350-1354.
- 11. Zhao Yunsong, Zhao Xing, Zhang Peng. An extended algebraic reconstruction technique (E-ART) for dual spectral CT. IEEE Trans Med Imaging, 2015, 34(3): 761-768.
- 12. 张伟军. 化合物或混合物的有效原子序数研究. 核电子学与探测技术, 2013, 33(1): 1-5.