Analytic Reconstruction for Parallel Translational Computed Tomography Based on Radon Inverse Transform

被引:0
|
作者
Li L. [1 ,2 ]
Tan C. [1 ,2 ]
Liao M. [2 ,3 ]
Yu H. [2 ,3 ]
Xi Y. [2 ,3 ]
Liu F. [1 ,2 ,3 ]
机构
[1] State Key Laboratory of Mechanical Transmissions, Chongqing University, Chongqing
[2] Engineering Research Center of Industrial Computed Tomography Nondestructive Testing, Ministry of Education, Chongqing University, Chongqing
[3] Key Laboratory of Optoelectronic Technology & Systems, Chongqing University, Ministry of Education, Chongqing
来源
Guangxue Xuebao/Acta Optica Sinica | 2021年 / 41卷 / 06期
关键词
Computed tomography; Hilbert transform; Image reconstruction; Imaging systems; Radon inversion; Translational computed tomography;
D O I
10.3788/AOS202141.0611003
中图分类号
学科分类号
摘要
Computed tomography (CT) has been widely applied in medical diagnosis, industrial testing, and other fields. Recently, parallel translational computed tomography (PTCT) was proposed, in which the source and the detector were translated in parallel and opposite directions for data collection, featuring a simple structure, flexible applications, and low costs. In this paper, derivation-Hilbert transform-backprojection for PTCT (PTCT-DHB) based on Radon inverse transform was proposed for image reconstruction. Compared with the conventional algorithm of filtered backprojection for PTCT (PTCT-FBP), the proposed algorithm decomposed a ramp filter into two steps: derivation and Hilbert transform, which improved the noise resistance. Furthermore, a PTCT experimental system was established, and numerical simulations and practical experiments were performed. The results show that in comparison with the PTCT-FBP algorithm, the root mean squared error value of the images reconstructed by the PTCT-DHB algorithm is reduced by 0.0108, the peak signal-to-noise ratio value is increased by 4.437, and the structural similarity value is increased by 0.0041. The PTCT-DHB algorithm can effectively suppress high-frequency noise and quickly reconstruct high-quality CT images. © 2021, Chinese Lasers Press. All right reserved.
引用
收藏
相关论文
共 24 条
  • [1] du Plessis A, le Roux S G, Guelpa A., Comparison of medical and industrial X-ray computed tomography for non-destructive testing, Case Studies in Nondestructive Testing and Evaluation, 6, pp. 17-25, (2016)
  • [2] Cai Y F, Chen T Y, Wang J, Et al., Image noise reduction in computed tomography with non-local means algorithm based on adaptive filtering coefficients, Acta Optica Sinica, 40, 7, (2020)
  • [3] Liu J, Kang Y Q, Gu Y B, Et al., Low dose computed tomography image reconstruction based on sparse tensor constraint, Acta Optica Sinica, 39, 8, (2019)
  • [4] Liu F, Yu H, Cong W, Et al., Top-level design and pilot analysis of low-end CT scanners based on linear scanning for developing countries, Journal of X-ray Science and Technology, 22, 5, pp. 673-686, (2014)
  • [5] de Schryver T, Dhaene J, Dierick M, Et al., In-line NDT with X-ray CT combining sample rotation and translation, NDT & E International, 84, pp. 89-98, (2016)
  • [6] Liu B, Luo Y, Li K, Et al., X-ray layered refocusing imaging based on linear scanning, IEEE Photonics Journal, 12, 3, pp. 1-12, (2020)
  • [7] Zhang T, Xing Y X, Zhang L, Et al., Stationary computed tomography with source and detector in linear symmetric geometry: direct filtered backprojection reconstruction, Medical Physics, 47, 5, pp. 2222-2236, (2020)
  • [8] Wang C X, Zeng L, Yu W, Et al., An electron beam linear scanning mode for industrial limited-angle nano-computed tomography, The Review of Scientific Instruments, 89, 1, (2018)
  • [9] Luo T, Zhao Y S., An acceleration algorithm for dual-spectral computed tomography reconstruction, Acta Optica Sinica, 40, 14, (2020)
  • [10] Wu W W, Quan C, Liu F L., Filtered back-projection image reconstruction algorithm for opposite parallel linear CT scanning, Acta Optica Sinica, 36, 9, (2016)