title: Rank-One and Transformed Sparse Decomposition for Dynamic Cardiac MRI.
abstract: It is challenging and inspiring for us to achieve high spatiotemporal resolutions in dynamic cardiac magnetic resonance imaging (MRI). In this paper, we introduce two novel models and algorithms to reconstruct dynamic cardiac MRI data from under-sampled k - t space data. In contrast to classical low-rank and sparse model, we use rank-one and transformed sparse model to exploit the correlations in the dataset. In addition, we propose projected alternative direction method (PADM) and alternative hard thresholding method (AHTM) to solve our proposed models. Numerical experiments of cardiac perfusion and cardiac cine MRI data demonstrate improvement in performance.
authors.affiliation: Department of Applied Mathematics, Beijing Jiaotong University, Beijing 100044, China.
authors.forename: Xianchao
authors.initials: X
authors.lastname: Xiu
authors.affiliation: Department of Applied Mathematics, Beijing Jiaotong University, Beijing 100044, China.
authors.forename: Lingchen
authors.initials: L
authors.lastname: Kong
mesh_terms: D000465:Algorithms; D044962:Data Compression / Q000379:methods*; D006801:Humans; D007089:Image Enhancement / Q000379:methods*; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D019028:Magnetic Resonance Imaging, Cine / Q000379:methods*; D055414:Myocardial Perfusion Imaging / Q000379:methods*; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity