Low-rank and Sparse Matrix Decomposition with a-priori Knowledge for Dynamic 3D MRI Reconstruction

@article{Zonoobi2015LowrankAS,
  title={Low-rank and Sparse Matrix Decomposition with a-priori Knowledge for Dynamic 3D MRI Reconstruction},
  author={D. Zonoobi and Shahrooz Faghih Roohi and Ashraf Ali Kassim},
  journal={ArXiv},
  year={2015},
  volume={abs/1411.6206}
}
It has been recently shown that incorporating priori knowledge significantly improves the performance of basic compressive sensing based approaches. We have managed to successfully exploit this idea for recovering a matrix as a summation of a Low-rank and a Sparse component from compressive measurements. When applied to the problem of construction of 4D Cardiac MR image sequences in real-time from highly under-sampled k-space data, our proposed method achieves superior… 

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