压缩感知在磁共振成像中的应用研究  

Application of compressed sensing in magnetic resonance imaging

作　　者：钟晓燕[1] 卜祥磊 田辉勇[1] 

机构地区：[1]南方医科大学生物医学工程学院,广州510515 [2]广州市妇女儿童医疗中心设备科,广州510263

出　　处：《医疗装备》2015年第6期1-5,共5页Medical Equipment

摘　　要：压缩感知是建立在矩阵分析、概率统计理论及泛函分析等基础上的一种新颖的信号获取方式,它可以以低于传统Nyquist采样定理所需的采样数据准确重建原始信号。本文在压缩感知基本理论的基础之上论述了其与磁共振成像相结合的基本原理,包括磁共振图像的稀疏表示、K空间采样轨迹的设计、优质重建算法的选择,并简要介绍了压缩感知在磁共振成像中其他方面的一些应用。Compressed sensing is a novel signal acquisition method based on the matrix analysis, probability statistics theory and functional analysis. Original signal can be reconstructed by fewer sampling data that needed in nyquist sampling theory. This paper presents the principles of compressed sensing combined with magnetic resonance imaging （MRI） . Sparse representation of magnetic image, design of k - space sampling trace and choice of high quality reconstruction algorithms are included. At last, the other applica- tions of the compressed sensing in the magnetic resonance imaging are discussed.

关 键 词：压缩感知 磁共振成像 稀疏表示 图像重建 

分 类 号：R445.2[医药卫生—影像医学与核医学]