波谱学杂志2016，Vol.33Issue(4)：549-558,10.DOI:10.11938/cjmr20160404
一种基于时空变换和压缩感知的磁共振螺旋采样的图像重建算法
An Image Reconstruction Algorithm for Spiral MRI Based on Spatio-Temporal Transform and Compressed Sensing
摘要
Abstract
Spiral magnetic resonance imaging (MRI) plays an important role in functional imaging, parallel imaging and dynamic imaging. Most of the traditional image reconstruction algorithms for spiral imaging are based on kernel functions which interpolate thek-space data acquired with spiral trajectories onto a uniform grid in Cartesian space. Non-uniform fast Fourier transform (NUFFT) and least square method could then be applied after gridding to reconstruct the images. With these algorithms, the results are dependent on the choice of kernel function, and reconstruction errors are unavoidable during the gridding process. In this study, a spatio-temporal transform (STT) matrix, representing the relation between the image and sampledk-space data, is introduced inl1 norm to optimize the problem based on spatio-temporal transform and compressed sensing (CS). Thek-space data, rather than the after-gridding data, are used as the fidelity term, such that the gridding errors can be avoided. In addition, parallel computing on GPU can be applied to reduce the computation time for the STT matrix, making the algorithm more efficient.关键词
螺旋采样磁共振成像/时空变换/压缩感知/非均匀傅里叶变换/并行计算Key words
spiral MRI/spatio-temporal transformation (STT)/compressed sensing (CS)/Non-uniform fast Fourier transform (NUFFT)/parallel computing分类
数理科学引用本文复制引用
庄孝星,马崚嶒,蔡聪波,陈忠..一种基于时空变换和压缩感知的磁共振螺旋采样的图像重建算法[J].波谱学杂志,2016,33(4):549-558,10.基金项目
国家自然科学基金资助项目(11375147,81171331) （11375147,81171331）
