Magnetic Resonance Image Reconstruction Using Equation System Solving-Based Singularity Function Analysis

This paper presents a method of reconstructing magnetic resonance (MR) images from partial k-space using a so-called singularity function model. To estimate the parameters of the model, we propose a new technique based on equation system solving. The proposed reconstruction method is evaluated on both simulated and real brain MR data. It is also compared with existing techniques. The results show that this new strategy exhibits a great simplicity while offering a good reconstruction quality.