| Citation: | LIN Qiang, YANG Min, ZHANG Xiaomin, et al. Neutron exterior CT reconstruction algorithm based on weighted total variation minimization[J]. Journal of Beijing University of Aeronautics and Astronautics, 2021, 47(6): 1199-1209. doi: 10.13700/j.bh.1001-5965.2020.0126(in Chinese)
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Aimed at the requirements of the exterior CT inspection using neutron beam, an exterior CT reconstruction algorithm based on Weighted Directional Total Variation (WDTV) minimization is proposed. We first use the symmetry principle of parallel beam data to supplement the missing projection data that are on the other side of the rotation center in the sinogram. Then the FBP algorithm is used for the reconstruction under the exterior CT scanning. In order to reduce artifacts along the radial direction in the images reconstructed by the conventional FBP and SART algorithms, we choose radial direction and angular direction to calculate the local directional difference in the WDTV algorithm and then calculate the weighted sum of these two directional differences. In addition, we introduce two weight parameters into the WDTV reconstruction model to control the different edge responses' strength along radial edges and tangential edges. The relationship between the quality of reconstructed images and the amount of projection data is studied by using the proposed reconstruction algorithm. Computer simulation and real cold neutron experiments indicate that the proposed reconstruction algorithm can effectively suppress the image artifacts along the radial direction and thus high-quality reconstruction images can be obtained.
| [1] |
YASUDA R, MATSUBAYASHI M, NAKATA M, et al. Application of neutron imaging plate and neutron CT methods on nuclear fuels and materials[J]. IEEE Transactions on Nuclear Science, 2005, 52(1): 313-316. doi: 10.1109/TNS.2005.844297
|
| [2] |
SINHA V, SRIVASTAVA A, LEE H K. A novel method for NDT applications using NXCT system at the Missouri University of Science & Technology[J]. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 2014, 750(1): 43-55. http://www.sciencedirect.com/science/article/pii/S0168900214002721
|
| [3] |
TAMAKI M. Conceptual monochromatic digital neutron radiography using continuous cold neutron beam[J]. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 2005, 542(1-3): 32-37. doi: 10.1016/j.nima.2005.01.008
|
| [4] |
魏国海, 韩松柏, 陈东风, 等. 中子照相技术在核燃料元件无损检测中的应用[J]. 核技术, 2012, 35(11): 821-826. https://www.cnki.com.cn/Article/CJFDTOTAL-HJSU201211005.htm
WEI G H, HAN S B, CHEN D F, et al. Application of neutron radiography for non-destructive testing nuclear fuel elements[J]. Nuclear Techniques, 2012, 35(11): 821-826(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-HJSU201211005.htm
|
| [5] |
STROBL M, MANKE I, KARDJILOV N, et al. Advances in neutron radiography and tomography[J]. Journal of Physics D: Applied Physics, 2009, 42(24): 243001. doi: 10.1088/0022-3727/42/24/243001
|
| [6] |
郭雨濛, 曾理. CT外问题的原理与算法综述[J]. 中国体视学与图像分析, 2017, 22(3): 320-326. https://www.cnki.com.cn/Article/CJFDTOTAL-ZTSX201703011.htm
GUO Y M, ZENG L. Review on the principle and algorithms of the exterior problem of CT[J]. Chinese Journal of Stereology and Image Analysis, 2017, 22(3): 320-326(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZTSX201703011.htm
|
| [7] |
倪风岳. CUDA加速CV图像分割和外部CT图像重建算法研究[D]. 重庆: 重庆大学, 2011: 2-30.
NI F Y. Algorithm study on accelerate CV image segmentation and exterior industrial image reconstruction by CUDA[D]. Chongqing: Chongqing University, 2011: 2-30(in Chinese).
|
| [8] |
GUO J Q, ZENG L, LIU B D. High-quality image reconstruction from exterior helical cone-beam CT data for NDE of industrial pipelines[J]. Insight-Non-Destructive Testing and Condition Monitoring, 2011, 53(10): 534-541. doi: 10.1784/insi.2011.53.10.534
|
| [9] |
陈庆贵, 卢洪义, 齐强, 等. 固体火箭发动机界面脱粘切向CT检测[J]. 固体火箭技术, 2016, 39(3): 347-352. https://www.cnki.com.cn/Article/CJFDTOTAL-GTHJ201603010.htm
CHEN Q G, LU H Y, QI Q, et al. Tangential CT inspection of interface debonding of SRM[J]. Journal of Solid Rocket Technology, 2016, 39(3): 347-352(in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-GTHJ201603010.htm
|
| [10] |
CHEN B X, YANG M, ZHANG Z, et al. Constrained TV-minimization reconstruction from exterior CT data[C]//2013 IEEE Nuclear Science Symposium and Medical Imaging Conference. Piscataway: IEEE Press, 2013: 1-3.
|
| [11] |
QUINTO E T. Local algorithms in exterior tomography[J]. Journal of Computational & Applied Mathematics, 2007, 199(1): 141-148. http://www.ams.org/mathscinet-getitem?mr=2267538
|
| [12] |
GUO J Q, ZENG L, LIU B D. The improved TVM image reconstruction algorithm of exterior circular cone-beam CT[C]//Proceedings of the 13th International Congress for Stereology. Beijing: Chinese Society for Stereology, 2011: 458-462.
|
| [13] |
CORMACK A M. Representation of a function by its line integrals, with some radiological applications[J]. Journal of Applied Physics, 1963, 34(9): 2722-2727. doi: 10.1063/1.1729798
|
| [14] |
QUINTO E T. Tomographic reconstructions from incomplete data-numerical inversion of the exterior Radon transform[J]. Inverse Problems, 1988, 4(3): 867-876. doi: 10.1088/0266-5611/4/3/019
|
| [15] |
QUINTO E T. Singularities of the X-ray transform and limited data tomography in R2 and R3[J]. SIAM Journal on Mathematical Analysis, 1993, 24(5): 1215-1225. doi: 10.1137/0524069
|
| [16] |
QUINTO E T. Exterior and limited-angle tomography in non-destructive evaluation[J]. Inverse Problems, 1998, 14(2): 339-353. doi: 10.1088/0266-5611/14/2/009
|
| [17] |
QUINTO E T. Singular value decompositions and inversion methods for the exterior Radon transform and a spherical transform[J]. Journal of Mathematical Analysis and Applications, 1983, 95(2): 437-448. doi: 10.1016/0022-247X(83)90118-X
|
| [18] |
VAINBERG E, KAZAK I, KUROZAEV V. Reconstruction of the internal three-dimensional structure of objects based on real-time integral projections[J]. Soviet Journal of Nondestructive Testing, 1981, 17(6): 415-423. http://www.researchgate.net/publication/280136857_RECONSTRUCTION_OF_THE_INTERNAL_THREE-DIMENSIONAL_STRUCTURE_OF_OBJECTS_BASED_ON_REAL-TIME_INTEGRAL_PROJECTIONS
|
| [19] |
蔺鲁萍, 王永革. 不完全角度CT图像重建的模型与算法[J]. 北京航空航天大学学报, 2017, 43(4): 823-830. doi: 10.13700/j.bh.1001-5965.2016.0232
LIN L P, WANG Y G. CT image reconstruction model and algorithm from few views[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(4): 823-830(in Chinese). doi: 10.13700/j.bh.1001-5965.2016.0232
|
| [20] |
SIDKY E Y, KAO C M, PAN X. Accurate image reconstruction from few-views and limited-angle data in divergent-beam CT[J]. Journal of X-Ray Science and Technology, 2006, 14(2): 119-139. http://arxiv.org/abs/0904.4495v1
|
| [21] |
ZENG L, LIU B, LIU L, et al. A new iterative reconstruction algorithm for 2D exterior fan-beam CT[J]. Journal of X-Ray Science and Technology, 2010, 18(3): 267-277. http://europepmc.org/abstract/med/20714085
|
| [22] |
GUO Y, ZENG L. Improved iterative image reconstruction algorithm for the exterior problem of computed tomography[J]. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 2017, 842: 96-108. http://www.sciencedirect.com/science/article/pii/S0168900216310993
|
| [23] |
GUO Y, ZENG L, WANG C, et al. Image reconstruction model for the exterior problem of computed tomography based on weighted directional total variation[J]. Applied Mathematical Modelling, 2017, 52: 358-377. doi: 10.1016/j.apm.2017.07.057
|
| [24] |
闫镔, 李磊. CT图像重建算法[M]. 北京: 科学出版社, 2014: 5-14.
YAN B, LI L. CT image reconstruction algorithm[M]. Beijing: Science Press, 2014: 5-14(in Chinese).
|
| [25] |
HUYNH-THU Q, GHANBARI M. The accuracy of PSNR in predicting video quality for different video scenes and frame rates[J]. Telecommunication Systems, 2012, 49(1): 35-48. doi: 10.1007/s11235-010-9351-x
|
| [26] |
HORE A, ZIOU D, Image quality metrics: PSNR vs. SSIM[C]//2010 20th International Conference on Pattern Recognition. Piscataway: IEEE Press, 2010: 2366-2369.
|
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