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Learned Full-Sampling Reconstruction

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Medical Image Computing and Computer Assisted Intervention – MICCAI 2019 (MICCAI 2019)

Abstract

X-ray computed tomography (CT) reconstruction with sparse projection views was proposed to reduce both the radiation dose and scan time. However, lacking of sufficient projection views may lead to severe artifacts for analytical reconstruction method such as the filtered back projection (FBP). Although the projection data is incomplete, we can generate the full-sampling system matrices according to the sufficient-sampling conditions [5]. Thus, we propose a novel iterative reconstruction model to fit the target images and the corresponding high resolution measurements in Radon domain by the full-sampling system matrices. Our proposed model is solved by the learned alternating minimization method, which accounts for a forward operator in deep neural network by the unrolling strategy. Numerical results demonstrate that the proposed approach outperforms some latest learning based reconstruction methods for the sparse-view CT problems.

The work is supported by NSFC 11701418, Major Science and Technology Project of Tianjin 18ZXRHSY00160 and Recruitment Program of Global Young Expert.

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References

  1. Adler, J., Öktem, O.: Learned primal-dual reconstruction. IEEE Trans. Med. Imaging 37(6), 1322–1332 (2018)

    Article  Google Scholar 

  2. Chambolle, A., Pock, T.: A first-order primal-dual algorithm for convex problems with applications to imaging. J. Math. Imaging Vis. 40(1), 120–145 (2011)

    Article  MathSciNet  Google Scholar 

  3. Dong, B., Li, J., Shen, Z.: X-ray CT image reconstruction via wavelet frame based regularization and radon domain inpainting. J. Sci. Comput. 54(2–3), 333–349 (2013)

    Article  MathSciNet  Google Scholar 

  4. Jin, K.H., McCann, M.T., Froustey, E., Unser, M.: Deep convolutional neural network for inverse problems in imaging. IEEE Trans. Image Process. 26(9), 4509–4522 (2017)

    Article  MathSciNet  Google Scholar 

  5. Jorgensen, J.S., Sidky, E.Y., Pan, X.: Quantifying admissible undersampling for sparsity-exploiting iterative image reconstruction in X-ray CT. IEEE Trans. Med. Imaging 32(2), 460–473 (2013)

    Article  Google Scholar 

  6. Liu, J., Kuang, T., Zhang, X.: Image reconstruction by splitting deep learning regularization from iterative inversion. In: Frangi, A.F., Schnabel, J.A., Davatzikos, C., Alberola-López, C., Fichtinger, G. (eds.) MICCAI 2018. LNCS, vol. 11070, pp. 224–231. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-00928-1_26

    Chapter  Google Scholar 

  7. Sidky, E.Y., Jørgensen, J.H., Pan, X.: Convex optimization problem prototyping for image reconstruction in computed tomography with the chambolle-pock algorithm. Phys. Med. Biol. 57(10), 3065 (2012)

    Article  Google Scholar 

  8. Yang, Y., Sun, J., Li, H., Xu, Z.: Deep ADMM-Net for compressive sensing MRI. In: Proceedings of the 30th International Conference on Neural Information Processing Systems, pp. 10–18 (2016)

    Google Scholar 

  9. Zhang, H., Dong, B., Liu, B.: JSR-Net: a deep network for joint spatial-radon domain CT reconstruction from incomplete data. arXiv preprint arXiv:1812.00510 (2018)

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Correspondence to Yuping Duan .

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Cheng, W., Wang, Y., Chi, Y., Xie, X., Duan, Y. (2019). Learned Full-Sampling Reconstruction. In: Shen, D., et al. Medical Image Computing and Computer Assisted Intervention – MICCAI 2019. MICCAI 2019. Lecture Notes in Computer Science(), vol 11768. Springer, Cham. https://doi.org/10.1007/978-3-030-32254-0_42

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  • DOI: https://doi.org/10.1007/978-3-030-32254-0_42

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-32253-3

  • Online ISBN: 978-3-030-32254-0

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