title: Phase correction-based singularity function analysis for partial k-space reconstruction.
abstract: Partial k-space acquisition is a conventional method in magnetic resonance imaging (MRI) for reducing imaging time while maintaining image quality. In this field, image reconstruction from partial k-space is a key issue. This paper proposes an approach fundamentally different from traditional techniques for reconstructing magnetic resonance (MR) images from partial k-space. It uses a so-called singularity function analysis (SFA) model based on phase correction. With such a reconstruction approach, some nonacquired negative spatial frequencies are first recovered by means of phase correction and Hermitian symmetry property, and then the other nonacquired negative and/or positive spatial frequencies are estimated using the mathematical SFA model. The method is particularly suitable for asymmetrical partial k-space acquisition owing to its ability of overcoming reconstruction limitations due to k-space truncations. The performance of this approach is evaluated using both simulated and real MR brain images, and compared with existing techniques. The results demonstrate that the proposed SFA based on phase correction achieves higher image quality than the initial SFA or the projection-onto-convex sets (POCS) method.
authors.affiliation: College of Life Science and Technology, Shanghai Jiaotong University, Shanghai 200240, PR China. jhluo@sjtu.edu.cn
authors.forename: Jianhua
authors.initials: J
authors.lastname: Luo
authors.forename: Yuemin
authors.initials: Y
authors.lastname: Zhu
authors.forename: Isabelle
authors.initials: I
authors.lastname: Magnin
mesh_terms: D000465:Algorithms; D007091:Image Processing, Computer-Assisted; D009682:Magnetic Resonance Spectroscopy / Q000379:methods*