Diffusion tensor magnetic resonance (DTMR) imaging and diffusion tensor imaging (DTI) have been widely used to probe noninvasively biological tissue structures. However, DTI suffers from long acquisition times, which limit its practical and clinical applications. This paper proposes a new Compressed Sensing (CS) reconstruction method that employs joint sparsity and rank deficiency to reconstruct cardiac DTMR images from undersampled k-space data. Diffusion-weighted images acquired in different diffusion directions were firstly stacked as columns to form the matrix. The matrix was row sparse in the transform domain and had a low rank. These two properties were then incorporated into the CS reconstruction framework. The underlying constrained optimization problem was finally solved by the first-order fast method. Experiments were carried out on both simulation and real human cardiac DTMR images. The results demonstrated that the proposed approach had lower reconstruction errors for DTI indices, including fractional anisotropy (FA) and mean diffusivities (MD), compared to the existing CS-DTMR image reconstruction techniques.
Le Bihan D., , Mangin J. F., , Poupon C., , Clark C. A., , Pappata S., , Molko N., , and Chabriat H., Diffusion tensor imaging: Concepts and applications, Journal of Magnetic Resonance Imaging, vol. 13, pp. 534-546, Apr 2001.
Jiang Y., and Hsu E. W., Accelerating MR diffusion tensor imaging via filtered reduced-encoding projection-reconstruction, Magnetic Resonance in Medicine, vol. 53, pp. 93-102, Jan 2005.
Haldar J. P., , Wedeen V. J., , Nezamzadeh M., , Dai G., , Weiner M. W., , Schuff N., , and Liang Z.-P., Improved diffusion imaging through SNR-enhancing joint reconstruction, Magnetic Resonance in Medicine, vol. 69, pp. 277-289, Jan 2013.
Holdsworth S. J., , Skare S., , Newbould R. D., , and Bammer R., Robust GRAPPA-accelerated diffusion-weighted readout-segmented (RS)-EPI, Magnetic Resonance in Medicine, vol. 62, pp. 1629-1640, Dec 2009.
Bammer R., , Auer M., , Keeling S. L., , Augustin M., , Stables L. A., , Prokesch R. W., , Stollberger R., , Moseley M. E., , and Fazekas F., Diffusion tensor imaging using single-shot SENSE-EPI, Magnetic Resonance in Medicine, vol. 48, pp. 128-136, Jul 2002.
Candes E. J., , Romberg J., , and Tao T., Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information, IEEE Transactions on Information Theory, vol. 52, pp. 489-509, Feb 2006.
Donoho D. L., Compressed sensing, IEEE Transactions on Information Theory, vol. 52, pp. 1289-1306, Apr 2006.
Adluru G., , Hsu E., , and Di Bella E. V. R., , Constrained reconstruction of sparse cardiac MR DTI data, in Functional Imaging and Modeling of the Heart, Proceedings, vol. 4466, Sachse F. B., and Seemann G., Eds., ed, 2007, pp. 91-99.
Wu Y., , Zhu Y.-J., , Tang Q.-Y., , Zou C., , Liu W., , Dai R.-B., , Liu X., , Wu E. X., , Ying L., , and Liang D., Accelerated MR diffusion tensor imaging using distributed compressed sensing, Magnetic Resonance in Medicine, vol. 71, pp. 763-772, Feb 2014.
Li L., , Hu X., , and Gao H., Compressive Diffusion MRI-Part 1 Why Low-Rank, in Proceedings of the 21th Annual Meeting of ISMRM, Salt Lake, 2013.
Welsh C. L., , DiBella E. V. R., , Adluru G., , and Hsu E. W., Model-based reconstruction of undersampled diffusion tensor k-space data, Magnetic Resonance in Medicine, vol. 70, pp. 429-440, Aug 2013.
Huang J., , Zhang S., , and Metaxas D., Efficient MR image reconstruction for compressed MR imaging, Medical Image Analysis, vol. 15, pp. 670-679, Oct 2011.
Wang L., , Zhu Y., , Li H., , Liu W., , and Magnin I. E., Multiscale modeling and simulation of the cardiac fiber architecture for DMRI, IEEE Transactions on Biomedical Engineering, vol. 59, pp. 16-19, Jan 2012.
Lustig M., , Donoho D., , and Pauly J. M., Sparse MRI: The application of compressed sensing for rapid MR imaging, Magnetic Resonance in Medicine, vol. 58, pp. 1182-1195, Dec 2007.
Lingala S. G., , Hu Y., , DiBella E., , and Jacob M., Accelerated dynamic MRI exploiting sparsity and low-rank structure: k-t SLR, IEEE Transactions on Medical Imaging, vol. 30, pp. 1042-1054, May 2011.