Abstract
In the last 20 yr, RFNC–VNIITF has developed a linear-induction-accelerator-based radiography complex capable of reconstructing the 3D inner structures of hydrodynamic objects. The effort aims to develop not only a unique X-ray source but also the algorithms which could help accurately reconstruct tomograms of objects from as small views as possible. The paper briefly describes the history of algorithms developed for few-view computed tomography (FVCT) on the basis of algebraic reconstruction techniques (ARTs) and their modifications. The most effective modifications of ARTs are presented along with examples demonstrating their use for reconstruction of hydrodynamic medium models. In conclusion, key thrust areas in the development of algorithms for FVCT of fast hydrodynamic processes are outlined.
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REFERENCES
Kozlovskii, V.N., Informatsiya v impul’snoi rentgenografii (Information in Pulsed Radiography), Snezhinsk: RFNC–VNIITF, 2006.
Herman, G.T., Fundamentals of Computerized Tomography: Image Reconstruction from Projections, London: Springer, 2009, 2nd ed.
Nielsen, K., Design and performance of the DARTH second axis accelerator, Proc. IEEE Int. Pulsed Power Conf., Chicago, 2011, pp. 1048–1051. https://doi.org/10.1109/PPC.2011.6191640
Ong, M.M., Kihara, R., Zentler, J.M., Kreitzer, B.R., and DeHope, W.J., Estimating the reliability of Lawrence Livermore National Laboratory (LLNL) flash x-ray (FXR) machine, Proc. IEEE Int. Pulsed Power Plasma Sci. Conf., Albuquerque, 2007, vol. 2, pp. 1078–1081. https://doi.org/10.1109/PPPS.2007.4345985
Pang, T.F., AWE multi-axis radiographic facility: A review of 3D-reconstructions from limited data, Bayesian Interface Maximum Entropy Methods Sci. Eng. 20th Int. Workshop. AIP Conf. Proc., Gif-sur-Yvette, 2001, vol. 568, pp. 521–530. https://doi.org/10.1063/1.1381914
Dzitko, H., Mouillet, M., Georges, A., and Gouin, B., Reliability study of the AIRIX accelerator over a functioning period of ten years (2000–2010), Proc. Part. Accel. Conf., New York, 2011, pp. 1882–1884.
Kaizhi, Z., Long, W., Hong, L., Zhiyong, D., Wendou, W., Wenwei, Z., Meng, W., Jin, L., Anming, Y., Yutong, X., Sifu, C., Huacen, W., Guangsen, D., Jinshui, S., Linwen, Z., Jianjun, D., and Bonan, D., Dragon-I injector based on the induction voltage adder technique, Phys. Rev. ST Accel. Beams., 2006, vol. 9, no. 8, p. 080401. https://doi.org/10.1103/PhysRevSTAB.9.080401
Logachev, P.V., Kuznetsov, G.I., Korepanov, A.A., Akimov, A.V., Shiyankov, S.V., Starostenko, D.A., and Fat’kin, G.A., LIU-2 linear induction accelerator, Instrum. Exp. Tech., 2013, vol. 56, no. 6, pp. 672–679. https://doi.org/10.1134/S0020441213060195
Akimov, A., Bak, P., Batrakov, A., Chernitsa, A., Khrenkov, S., Nikitin, O., Pavlov, O., Zhelezkin, D., and Zhivankov, K., Development and testing of high-voltage cells for 2 kA, 20 MeV linear induction accelerator, Proc. IEEE Int. Conf. Pulsed Power (Brighton, 2017), pp. 1–3. https://doi.org/PPC.2017.8291336
Akimov, A., Bak, P., Egorychev, M., Kolesnikov, P., Logunov, V., and Nikitin, O., PULSE forming networks development for a 60–380 ns pulsed power supply for 2 kA 20 MeV linear induction accelerator, Proc. IEEE Int. Conf. Pulsed Power (Brighton, 2017), pp. 1–3. https://doi.org/PPC.2017.8291090
Fatkin, G., Baluev, A., Bekhtenev, E., Kotov, E., Ottmar, A., Pavlenko, A., Panov, A., Senchenko, A., Serednyakov, S., Batrakov, A., Macheret, Ya., Mamkin, V., Shtro, K., Selivanov, A., Selivanov, P., and Singatulin, S., LIA-20 control system project, Proc. 16th Int. Conf. Accel. Large Exp. Cont. Syst. (Barcelona, 2018), pp. 1485–1488. https://doi.org/10.18429/JACoW-ICALEPCS2017-THPHA052
Panov, A. and Fatkin, G., LIA-20 experiment protection system, Proc. 16th Int. Conf. Accel. Large Exp. Cont. Syst. (Barcelona, 2018), pp. 660–662. https://doi.org/10.18429/JACoW-ICALEPCS2017-TUPHA103
Batrakov, A.M., Vasilev, M.Yu., Kotov, E.S., and Shtro, K.S., A precision high voltage pulse divider, Instrum. Exp. Tech., 2020, vol. 63, no. 2, pp. 188–198. https://doi.org/10.1134/S0020441220020074
Bak, P.A., Batrakov, A.M., Bekhtenev, E.A., Vasiliev, M.Yu., Zhivankov, K.I., Kotov, E.S., Macheret, Ya.M., Pavlenko, A.V., Pavlov, O.A., Senchenko, A.I., Serednyakov, S.S., Fat’kin, G.A., and Shtro, K.S., Waveform monitoring complex for accelerator LIA-20, Instrum. Exp. Tech., 2021, vol. 64, no. 2, pp. 216–229. https://doi.org/10.1134/S0020441221020019
News of the scientific portal “Atomic Energy 2.0.” https://www.atomicenergy.ru/news/2022/03/25/123117. Cited March 25, 2022.
Gordon, R., Bender, R., and Herman, G.T., Algebraic reconstruction techniques (ART) for threedimensional electron microscopy and X-ray photography, J. Theor. Biol., 1970, vol. 29, no. 3, pp. 471–481. https://doi.org/10.1016/0022-5193(70)90109-8
Gilbert, P., Iterative methods for the three-dimensional reconstruction of an object from projections, J. Theor. Biol., 1972, vol. 36, no. 1, pp. 105–117. https://doi.org/10.1016/0022-5193(72)90180-4
Andersen, A.H. and Kak, A.C., Simultaneous algebraic reconstruction technique (SART): A superior implementation of the ART algorithm, Ultrason. Imaging, 1984, vol. 6, no. 1, pp. 81–94. https://doi.org/10.1177/016173468400600107
Sauer, K.D. and Bouman, C.A., A local update strategy for iterative reconstruction from projections, IEEE Trans. Signal Process., 1993, vol. 41, no. 2, pp. 534–548. https://doi.org/10.1109/78.193196
Bouman, C.A. and Sauer, K.D., A unified approach to statistical tomography using coordinate descent optimization, IEEE Trans. Image Process., 1996, vol. 5, no. 3, pp. 480–492. https://doi.org/10.1109/83.491321
Erdogan, H. and Fessler, J.A., Ordered subsets algorithms for transmission tomography, Phys. Med. Biol., 1999, vol. 44, no. 11, pp. 2835–2851. https://doi.org/10.1088/0031-9155/44/11/311
Thibault, J.-B., Sauer, K.D., Bouman, C.A., and Hsieh, J.A., Three-dimensional statistical approach to improved image quality for multislice helical CT, Med. Phys., 2007, vol. 34, no. 11, pp. 4526–4544. https://doi.org/10.1118/1.2789499
Yu, Z., Thibault, J.-B., Bouman, C.A., Sauer, K.D., and Hsieh, J.A., Fast model-based X-ray CT reconstruction using spatially nonhomogeneous ICD optimization, IEEE Trans. Image Process., 2011, vol. 20, no. 1, pp. 161–175. https://doi.org/10.1109/TIP.2010.2058811
Donoho, D.L., Compressed sensing, IEEE Trans. Inf. Theory, 2006, vol. 52, no. 4, pp. 1289–1306. https://doi.org/10.1109/TIT.2006.871582
Candès, E.J., Romberg, J., and Tao, T., Stable signal recovery from incomplete and inaccurate measurements, Commun. Pure Appl. Math., 2006, vol. 59, no. 8, pp. 1207–1223. https://doi.org/10.1088/0266-5611/23/3/008
Yu, H. and Wang, G., Compressed sensing based interior tomography, Phys. Med. Biol., 2009, vol. 54, no. 9, pp. 2791–2805. https://doi.org/10.1088/0031-9155/54/9/014
Beck, A. and Teboulle, M., A fast iterative shrinkage-thresholding algorithm for linear inverse problems, SIAM J. Imaging Sci., 2009, vol. 2, no. 1, pp. 183–202. https://doi.org/10.1137/080716542
Chang, M., Li, L., Chen, Z., Xiao, Y., Zhang, L., and Wang, G., A few-view reweighted sparsity hunting (FRESH) method for CT image reconstruction, J. X-Ray Sci. Technol., 2013, vol. 21, no. 2, pp. 161–176. https://doi.org/10.3233/XST-130370
Sun, Y. and Tao, J., Iterative reconstruction from few views by l0-norm optimization, Chin. Phys. B, 2014, vol. 23, no. 7, p. 078703. https://doi.org/10.1088/1674-1056/23/7/078703
Storath, M., Weinmann, A., Frikel, J., and Unser, M., Joint image reconstruction and segmentation using the Potts model, Inverse Probl., 2015, vol. 31, no. 2, p. 025003. https://doi.org/10.1088/0266-5611/31/2/025003
Jin, K.H., McCann, M.T., Froustey, E., and Unser, M., Deep convolutional neural network for inverse problems in imaging, IEEE Trans. Med. Imaging, 2017, vol. 26, no. 9, pp. 4509–4522. https://doi.org/10.1109/TIP.2017.2713099
Arridge, S.R., Maass, P., Öktem, O., and Schönlieb, C.-B., Solving inverse problems using data-driven models, Acta Numerica, 2019, vol. 28, pp. 1–174. https://doi.org/10.1017/S0962492919000059
Konovalov, A.B., Mogilenskikh, D.V., Vlasov, V.V., and Kiselev, A.N., Algebraic reconstruction and post-processing in incomplete data computed tomography: from X-rays to laser beams, in Vision Systems: Applications, Obinata, G., Dutta, A., Eds., Vienna: I-Tech Educ. Publ., 2007, pp. 487–518. https://doi.org/10.5772/5003
Konovalov, A.B., Mogilenskikh, D.V., Kozlov, E.A., Vlasov, V.V., Kiselev, A.N., Kovalev, E.V., Zakharov, M.N., Povyshev, V.N., and Stavrietskii, V.I., Few-view gamma tomography used to monitor scabbing and shear fracture in a spherical iron shell compressed by explosion, Russ. J. Nondestr. Test., 2008, vol. 44, no. 1, pp. 15–24. https://doi.org/10.1134/S1061830908010026
Vlasov, V.V., Konovalov, A.B., and Uglov, A.S., An a priori information based algorithm for artifact preventive reconstruction in few-view computed tomography, Proc. IEEE Int. Symp. Comm. Cont. Signal Proces. (Roma, 2012), p. 042. https://doi.org/10.1109/ISCCSP.2012.6217778
Konovalov, A.B. and Vlasov, V.V., Spatial resolution analysis for few-views discrete tomography based on MART-AP algorithm, ISRN Signal Process., 2013, vol. 2013, p. 356291. https://doi.org/10.1155/2013/356291
Vlasov, V.V., Konovalov, A.B., and Uglov, A.S., Few-views image reconstruction with SMART and allowance for contrast structure shadows, Proc. Int. Conf. Comput. Anal. Imag. Patterns, 2015, Part I. Lect. Notes Comput. Sci., 2015, vol. 9256, pp. 667–677. https://doi.org/10.1007/978-3-319-23192-1_56
Vlasov, V.V., Konovalov, A.B., and Kolchugin, S.V., Hybrid algorithm for few-views computed tomography of strongly absorbing media: Algebraic reconstruction, TV-regularization, and adaptive segmentation, J. Electron. Imaging, 2018, vol. 27, no. 4, p. 043006. https://doi.org/10.1117/1.JEI.27.4.043006
Vlasov, V.V., Konovalov, A.B., and Kolchugin, S.V., Joint image reconstruction and segmentation: Comparison of two algorithms of few-view tomography, Comput. Opt., 2019, vol. 43, no. 6, pp. 1008–1020. https://doi.org/10.18287/2412-6179-2019-43-6-1008-1020
Vlasov, V.V. and Konovalov, A.B., Minimizing the number of views in few-view computed tomography: A deep learning approach, Proc. IEEE Int. Conf. Ind. Eng. Appl. Manuf. (Sochi, 2022), pp. 1063–1067. https://doi.org/10.1109/ICIEAM54945.2022.9787247
Rangayyan, R.M. and Gordon, R., Streak preventive image reconstruction with ART and adaptive filtering, IEEE Trans. Med. Imaging, 1982, vol. MI-1, no. 3, pp. 173–178. https://doi.org/10.1109/TMI.1982.4307569
Konovalov, A.B., Kiselev, A.N., and Vlasov, V.V., Spatial resolution in few-view computed tomography using algebraic reconstruction techniques, Pattern Recognit. Imag. Anal., 2006, vol. 16, no. 2, pp. 249–255. https://doi.org/10.1134/S105466180602012X
Lisin, A.A., Mogilenskikh, D.V., and Pavlov, I.V., Nonlinear color interpretation of physical processes, in Recent Progress in Computational Sciences and Engineering, Simos, T. and Maroulis, G., Eds., London: CRC Press, 2006, pp. 337–340. https://doi.org/10.1201/9780429070655-83
Mogilenskikh, D.V. and Pavlov, I.V., Color interpolation algorithms in visualizing results of numerical simulations, in Visualization and Imaging in Transport Phenomena, Sideman, S. and Landesberg, A., Eds., New York: New York Acad. Sci., 2002, vol. 972, Part I, pp. 43–52. https://doi.org/j.1749-6632.2002.tb04551.x
Discrete Tomography: Foundations, Algorithms and Applications, Herman, G.T. and Kuba, A., Eds., Boston: Birkhäuser, 1999.
Hanson, K.M., Bayesian and related methods in image reconstruction from incomplete data, in Image Recovery: Theory and Applications, Stark, H., Ed., Orlando: Academic, 1987, pp. 79–125.
Mehnert, A. and Jackway, O., An improved seeded region growing algorithm, Pattern Recognit. Lett., 1997, vol. 18, no. 10, pp. 1065–1071. https://doi.org/10.1016/S0167-8655(97)00131-1
Mazouzi, S. and Batouche, M., Range image segmentation by randomized region growing and Bayesian edge regularized, J. Comput. Sci., 2007, vol. 3, no. 5, pp. 310–317. https://doi.org/10.3844/jcssp.2007.310.317
Ronneberger, O., Fischer, P., and Brox, T., U-Net: Convolutional networks for biomedical image segmentation, Proc. Int. Conf. Med. Imag. Comput. Comput. Assisted Intervention, 2015, Part III. Lect. Notes Comput. Sci., 2015, vol. 9351, pp. 234–241. https://doi.org/10.1007/978-3-319-24574-4_28
Ravishankar, S., Ye, J.C., and Fessler, J.A., Image reconstruction: from sparsity to data-adaptive methods and machine learning, Proc. of IEEE, 2020, vol. 108, no. 1, pp. 86–109. https://doi.org/10.1109/JPROC.2019.2936204
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Konovalov, A.B., Vlasov, V.V. & Kiselev, A.N. Development of Image Reconstruction Algorithms for Few-View Computed Tomography at RFNC–VNIITF: History, State of the Art, and Prospects. Russ J Nondestruct Test 58, 455–465 (2022). https://doi.org/10.1134/S1061830922060067
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DOI: https://doi.org/10.1134/S1061830922060067