压缩感知技术及其在MRI上的应用  

Compressed sensing technology and its application in MRI

作　　者：张桂珊[1] 肖刚[2] 戴卓智[1] 沈智威[1] 李胜开[1] 吴仁华[1,3] 

机构地区：[1]汕头大学医学院第二附属医院放射科,汕头515041 [2]韩山师范学院数学与信息技术系,潮州521041 [3]广东省医学影像实验教学示范中心,汕头515041

出　　处：《磁共振成像》2013年第4期314-320,共7页Chinese Journal of Magnetic Resonance Imaging

基　　金：国家自然科学基金重点项目(编号:30930027)

摘　　要：压缩感知是基于应用数学的一种创新的信号获取及处理理论,其原理是通过对所采集的信号进行适当域变换得到可压缩信号,直接采集压缩后的信号并利用重构算法实现快速优质信号重建。运用该技术成像不仅具有出色的时间分辨率优势,同时具有满意的空间分辨率,因此近年来其在医学成像领域的应用逐渐成为研究热点。作者在阐述压缩感知理论基本原理的基础上,进一步对其在MRI上的研究现状和发展前景进行综述。Compressed sensing is an innovative theory of signal acquisition and processing based on the areas of applied mathematics.It works by using the mathematical algorithm to make an appropriate domain transformation for the collected signals and changing them into sparse or compressible signals.Afterwards,gathering the compressed signals directly to reconstruct the original signals at speedy,high quality by the method of the reconstruction algorithm.Due to its excellent temporal resolution advantages and with satisfactory temporal resolution,compressed sensing has become a research focus in the field of medical imaging.This article mainly elaborates in the basic theory of compressed sensing,its application in MRI and prospects for development.

关 键 词：压缩感知 FOURIER变换 磁共振成像 

分 类 号：R445.2[医药卫生—影像医学与核医学]