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Joint optimization of Cartesian sampling patterns and reconstruction for single‐contrast and multi‐contrast fast magnetic resonance imaging

Published: 01 November 2022 Publication History

Highlights

Sampling patterns and reconstruction are jointly optimized for fast MRI.
Identical morphologic information in multi-contrast images helps to accelerate MRI.
End-to-end learning enable achievement of multiple adaptive sampling patterns.
Adaptive sampling patterns improve reconstruction quality of under-sampled images.

Abstract

Background and objective

Compressed sensing (CS) has gained increased attention in magnetic resonance imaging (MRI), leveraging its efficacy to accelerate image acquisition. Incoherence measurement and non-linear reconstruction are the most crucial guarantees of accurate restoration. However, the loose link between measurement and reconstruction hinders the further improvement of reconstruction quality, i.e., the default sampling pattern is not adaptively tailored to the downstream reconstruction method. When single-contrast reconstruction (SCR) has been upgraded to its multi-contrast reconstruction (MCR) variant, the identical morphologic information as a priori source could be integrated into the reconstruction procedure. How to measure less and reconstruct effectively by using the shareable morphologic information of various contrast images is an attractive topic.

Methods

An adaptive sampling (AS) based end-to-end framework (ASSCR or ASMCR) is proposed to address this issue, which simultaneously optimizes sampling patterns and reconstruction from under-sampled data in SCR or MCR scenarios. Several deep probabilistic subsampling (DPS) modules are used in AS network to construct a sampling pattern generator. In SCR and MCR, a convolution block and a data consistency layer are iteratively applied in the reconstruction network. Specifically, the learned optimal sampling pattern output from the trained AS sub-net is used for under-sampling. Incoherence measurement for single-contrast images and the combination of sampling patterns for multi-contrast data are guided by the SCR/MCR sub-net.

Results

Experiments were conducted on two single-contrast and one multi-contrast public MRI datasets. Compared with several state-of-the-art reconstruction methods, SCR results show that a learned sampling pattern brings the quality of the reconstructed image closer to the fully-sampled reference. With the addition of different contrast images, under-sampled images with higher acceleration factors could be well recovered.

Conclusion

The proposed method could improve the reconstruction quality of under-sampled images by using adaptive sampling patterns and learning-based reconstruction.

References

[1]
D.L. Donoho, Compressed sensing, IEEE Trans. Inf. Theory 52 (2006) 1289–1306,.
[2]
M. Lustig, D.L. Donoho, J.M. Pauly, Sparse MRI: The application of compressed sensing for rapid MR imaging, Magn. Reson. Med. 58 (2007) 1182–1195,.
[3]
M. Lustig, D.L. Donoho, J.M. Santos, et al., Compressed sensing MRI, IEEE Signal Process. Mag. 25 (2008) 72–82,.
[4]
J. Schlemper, J. Caballero, J. Hajnal, et al., A deep cascade of convolutional neural networks for dynamic MR image reconstruction, IEEE Trans. Med. Imag. 37 (2017) 491–503,.
[5]
J. Zhang, B. Ghanem, ISTA-Net: Interpretable optimization-inspired deep network for image compressive sensing, in: Proc. IEEE Conf. Comput. Vis. Pattern Recognit. (CVPR), 2018, pp. 1828–1837,.
[6]
H.K. Aggarwal, M.P. Mani, M. Jacob, MoDL: Model-based deep learning architecture for inverse problems, IEEE Trans. Med. Imag. 38 (2019) 394–405,.
[7]
K. Hammernik, T. Klatzer, E. Kobler, et al., Learning a variational network for reconstruction of accelerated MRI data, Magn. Reson. Med. 79 (2017) 3055–3071,.
[8]
K. Zeng, Y. Yang, G. Xiao, et al., A very deep densely connected network for compressed sensing MRI, IEEE Access 7 (2019) 85430–85439,.
[9]
L. Bao, F. Ye, C. Cai, et al., Undersampled MR image reconstruction using an enhanced recursive residual network, J. Magn. Reson. 305 (2019) 232–246,.
[10]
E.M. Eksioglu, Decoupled algorithm for MRI reconstruction using nonlocal block matching model: BM3D-MRI, J. Math. Imag. Vis. 56 (2016) 430–440,.
[11]
X. Qu, Y. Hou, F. Lam, et al., Magnetic resonance image reconstruction from undersampled measurements using a patch-based nonlocal operator, Med. Image Anal. 18 (2014) 843–856,.
[12]
Y. Liu, Z. Zhan, J. Cai, et al., Projected iterative soft-thresholding algorithm for tight frames in compressed sensing magnetic resonance imaging, IEEE Trans. Med. Imag. 35 (2016) 2130–2140,.
[13]
B. Zhou, S.K. Zhou, DuDoRNet: learning a dual-domain recurrent network for fast MRI reconstruction with deep T1 prior, in: Proc. IEEE Conf. Comput. Vis. Pattern Recognit. (CVPR), 2020, pp. 4272–4281,.
[14]
A.T. Curtis, C.K. Anand, Random volumetric MRI trajectories via genetic algorithms, Int. J. Biomed. Imag. 2008 (2014),.
[15]
S. Matthias, N. Hannes, P. Rolf, et al., Optimization of k-space trajectories for compressed sensing by Bayesian experimental design, Magn. Reson. Med. 63 (2010) 116–126,.
[16]
C. Boyer, N. Chauffert, P. Ciuciu, et al., On the generation of sampling schemes for magnetic resonance imaging, SIAM J. Imag. Sci. 9 (2016) 2039–2072,.
[17]
C. Lazarus, P. Weiss, N. Chauffert, et al., SPARKLING: Variable-density k-space filling curves for accelerated T2*-weighted MRI, Magn. Reson. Med. 81 (2019) 3643–3661,.
[18]
F. Knoll, C. Clason, C. Diwoky, et al., Adapted random sampling patterns for accelerated MRI, Magn. Reson. Mater. Phys. Biol. Med. 24 (2011) 43–50,.
[19]
G.R. Chaithya, Z. Ramzi, P. Ciuciu, Learning the sampling density in 2D SPARKLING MRI acquisition for optimized image reconstruction, arXiv preprint (2021) arXiv:2103.03559 https://arxiv.org/abs/2103.03559.
[20]
G. Wang, T. Luo, J.F. Nielsen, et al., B-spline parameterized joint optimization of reconstruction and k-space trajectories (BJORK) for accelerated 2D MRI, arXiv preprint (2021) arXiv:2101.11369 https://arxiv.org/abs/2101.11369.
[21]
S. Ravishankar, Y. Bresler, Adaptive sampling design for compressed sensing MRI, Annu. Int. Conf. IEEE Eng. Med. Biol. Soc. (2011) 3751–3755,.
[22]
H.K. Aggarwal, M. Jacob, J-MoDL: Joint model-based deep learning for optimized sampling and reconstruction, IEEE J. Sel. Top. Signal Process. 14 (2020) 1151–1162,.
[23]
T. Weiss, S. Vedula, O. Senouf, et al., Joint learning of cartesian under sampling andre construction for accelerated MRI, in: Proc. IEEE Int. Conf. Acoust. Speech Signal Process. (ICASSP), 2020, pp. 8653–8657,.
[24]
C.D. Bahadir, A.Q. Wang, A.V. Dalca, et al., Deep-learning-based optimization of the under-sampling pattern in MRI, IEEE Trans. Comput. Imag. 6 (2020) 1139–1152,.
[25]
F. Sherry, M. Benning, J.C. De los Reyes, et al., Learning the sampling pattern for MRI, IEEE Trans. Med. Imag. 39 (2020) 4310–4321,.
[26]
I.A.M. Huijben, B.S. Veeling, R.J.G.V. Sloun, Learning sampling and model-based signal recovery for compressed sensing MRI, in: Proc. IEEE Int. Conf. Acoust. Speech Signal Process. (ICASSP), 2020, pp. 8906–8910,.
[27]
Z. Zhang, A. Romero, M.J. Muckley, et al., Reducing uncertainty in undersampled MRI reconstruction with active acquisition, in: Proc. IEEE Conf. Comput. Vis. Pattern Recognit. (CVPR), 2019, pp. 2049–2058,.
[28]
P. Luis, B. Sumana, R. Adriana, et al., Active MR k-space sampling with reinforcement learning, Med. Image Comput. Comput. Assist. Interv. (MICCAI) (2020) 23–33. https://arxiv.org/abs/2007.10469.
[29]
L. Sun, Z. Fan, X. Fu, et al., A deep information sharing network for multi-contrast compressed sensing MRI reconstruction, IEEE Trans. Image Process. 28 (2019) 6141–6153,.
[30]
B. Bilgic, V.K. Goyal, E. Adalsteinsson, Multi-contrast reconstruction with Bayesian compressed sensing, Magn. Reson. Med. 66 (2011) 1601–1615,.
[31]
J. Huang, C. Chen, L. Axel, Fast multi-contrast MRI reconstruction, Magn. Reson. Imaging 32 (2014) 1344–1352,.
[32]
M.J. Ehrhardt, M.M. Betcke, Multicontrast MRI reconstruction with structure-guided total variation, SIAM J. Imag. Sci. 9 (2016) 1084–1106,.
[33]
C. Peng, W.-A. Lin, R. Chellappa, et al., Towards multi-sequence MR image recovery from undersampled k-space data, arXiv preprint (2019) arXiv:1908.05615 https://arxiv.org/abs/1908.05615.
[34]
X. Liu, J. Wang, F. Tang, et al., Deep simultaneous optimization of sampling and reconstruction for multi-contrast MRI, arXiv preprint (2021),.
[35]
J. Yang, X. Li, F. Liu, et al., Fast T2w/FLAIR MRI acquisition by optimal sampling of information complementary to pre-acquired T1w MRI, arXiv preprint (2021) arXiv:2111.06400 https://arxiv.org/abs/2111.06400.
[36]
E. Jang, S. Gu, B. Poole, Categorical reparameterization with gumbel-softmax, in: Int. Conf. learn. Repres. (ICLR), 2017, pp. 1–12. https://www.openreview.net/forum?id=rkE3y85ee.
[37]
C.J. Maddison, A. Mnih, Y.W. Teh, The concrete distribution: A continuous relaxation of discrete random variables, in: Int. Conf. learn. Repres. (ICLR), 2017, pp. 1–17. https://www.openreview.net/forum?id=S1jE5L5gl.
[38]
K. He, X. Zhang, S. Ren, et al., Deep residual learning for image recognition, in: Proc. IEEE Conf. Comput. Vis. Pattern Recognit. (CVPR), 2016, pp. 770–778,.
[39]
G. Huang, Z. Liu, L.V.D. Maaten, et al., Densely connected convolutional networks, in: Proc. IEEE Conf. Comput. Vis. Pattern Recognit. (CVPR), 2017, pp. 2261–2269,.
[40]
J. Zbontar, F. Knoll, A. Sriram, et al., fastMRI: An open dataset and benchmarks for accelerated MRI, arXiv preprint (2018) arXiv:1811.08839 https://arxiv.org/abs/1811.08839.
[41]
T. Zhang, J.M. Pauly, S.S. Vasanawala, et al., Coil compression for accelerated imaging with Cartesian sampling, Magn. Reson. Med. 69 (2013) 571–582,.
[42]
M. Uecker, P. Lai, M.J. Murphy, et al., ESPIRiT—an eigenvalue approach to autocalibrating parallel MRI: Where SENSE meets GRAPPA, Magn. Reson. Med. 71 (2014) 990–1001,.
[43]
G. McGibney, M. Smith, S. Nichols, et al., Quantitative evaluation of several partial Fourier reconstruction algorithms used in MRI, Magn. Reson. Med. 30 (1993) 51–59,.
[44]
T. Küstner, C. Würslin, S. Gatidis, et al., MR image reconstruction using a combination of compressed sensing and partial Fourier acquisition: ESPReSSo, IEEE Trans. Med. Imag. 35 (2016) 2447–2458,.
[45]
R. Otazo, D. Kim, L. Axel, et al., Combination of compressed sensing and parallel imaging for highly accelerated first-pass cardiac perfusion MRI, Magn. Reson. Med. 64 (2010) 767–776,.
[46]
F. Liu, Y. Duan, B. Peterson, et al., Compressed sensing MRI combined with SENSE in partial k-space, Phys. Med. Biol. 57 (2012) N391,.
[47]
G. Li, J. Hennig, E. Raithel, et al., An L1-norm phase constraint for half-Fourier compressed sensing in 3D MR imaging, Magn. Reson. Mater. Phys. Biol. Med. 28 (2015) 459–472,.
[48]
C. Binter, V. Knobloch, R. Manka, et al., Bayesian multipoint velocity encoding for concurrent flow and turbulence mapping, Magn. Reson. Med. 69 (2013) 1337–1345,.
[49]
J. Walheim, A. Gotschy, S. Kozerke, On the limitations of partial Fourier acquisition in phase-contrast MRI of turbulent kinetic energy, Magn. Reson. Med. 81 (2019) 514–523,.
[50]
Y. Zhang, M. Brady, S. Smith, Segmentation of brain MR images through a hidden Markov random field model and the expectation-maximization algorithm, IEEE Trans. Med. Imag. 20 (2001) 45–57,.
[51]
J. Ashburner, K.J. Friston, Unified segmentation, Neuroimage 26 (2005) 839–851,.
[52]
G. Balakrishnan, A. Zhao, M.R. Sabuncu, et al., VoxelMorph: A learning framework for deformable medical image registration, IEEE Trans. Med. Imag. 38 (2019) 1788–1800,.
[53]
X. Liu, J. Wang, J. Jin, et al., Deep unregistered multi-contrast MRI reconstruction, Magn. Reson. Imag. 81 (2021) 33–41,.
[54]
K. Xuan, L. Xiang, X. Huang, et al., Multi-modal MRI reconstruction assisted with spatial alignment network, IEEE Trans. Med. Imag. 41 (2022) 2499–2509,.

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            Information & Contributors

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            Published In

            cover image Computer Methods and Programs in Biomedicine
            Computer Methods and Programs in Biomedicine  Volume 226, Issue C
            Nov 2022
            1043 pages

            Publisher

            Elsevier North-Holland, Inc.

            United States

            Publication History

            Published: 01 November 2022

            Author Tags

            1. Adaptive sampling
            2. fast MRI
            3. incoherence measurement
            4. single-contrast
            5. multi-contrast

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