迫近算子在MR图像快速重建中的应用研究

Proximity Operator and Its Application in Rapid MR Image Reconstruction

将迫近算子用于求解基于压缩感知理论的磁共振图像快速重建模型,得到了一个高效的迭代重建算法.将该算法用于部分K空间数据重建,并就算法对噪声的敏感性及算法对迭代初值的依赖性进行了仿真实验.实验结果表明,算法对噪声不敏感,对初值也没有显著的依赖性,该算法可由极少量K空间数据重建出高质量的MR图像.

Proximity operator is used to solve the rapid magnetic resonance image reconstruction model based on compressed sensing theory and an efficient iterative algorithm is proposed.Experiments show that the proposed algorithm is not sensitive to noises,and that the algorithm does not depend on the choice of initial iterative values,and that faithful MR images can be reconstructed efficiently through the algorithm.