| 一种SENSE模型下信号重建的类-Dykstra近点有效算法 |
| |
| 引用本文： | 许伟志,殷弘,蒋凌云.一种SENSE模型下信号重建的类-Dykstra近点有效算法[J].数学杂志,2015,35(4):881-888. |
| |
| 作者姓名： | 许伟志 殷弘 蒋凌云 |
| |
| 作者单位： | 湖北经济学院统计学院, 湖北 武汉 430205,中国人民大学信息学院, 北京 100872,湖北经济学院统计学院, 湖北 武汉 430205 |
| |
| 摘 要： | 本文研究了SENSE模型下从部分傅里叶数据中信号的重建问题.利用类Dykstra近点方法和Bregman迭代方法,我们获得了一种SENSE模型下信号重建的加速类-Dykstra近点有效算法,并证明了该算法的收敛性.实验仿真显示,该方法比经典的分裂Bregman方法有效.
|
| 关 键 词： | 核磁共振图像重建 压缩感知 Bregman方法 类Dykstra近点算法 SENSE模型 |
| 收稿时间： | 2014/9/10 0:00:00 |
| 修稿时间： | 2014/12/24 0:00:00 |
AN EFFICIENT DYKSTRA-LIKE PROXIMAL ALGORITHM FOR SENSE MODEL SIGNAL RECONSTRUCTION |
| |
| XU Wei-zhi,YIN Hong and JIANG Ling-yun.AN EFFICIENT DYKSTRA-LIKE PROXIMAL ALGORITHM FOR SENSE MODEL SIGNAL RECONSTRUCTION[J].Journal of Mathematics,2015,35(4):881-888. |
| |
| Authors: | XU Wei-zhi YIN Hong and JIANG Ling-yun |
| |
| Institution: | School of Statistics, Hubei University of Economics, Wuhan 430205, China,School of Information, Renmin University of China, Beijing 100872, China and School of Statistics, Hubei University of Economics, Wuhan 430205, China |
| |
| Abstract: | We consider the problem of the efficient reconstruction from partial Fourier data in Magnetic Resonance (MR) images.Based on Dykstra-like proximal method and Bregman method,we propose an accelerated Dykstra-like proximal algorithm (ADPA-BI) for SENSE model signal reconstruction,and obtain the proof of its convergence property.Our numerical simulations on recovering MR images indicate that the proposed method is more efficient than the classic Split Bregman Iteration (SBI) method. |
| |
| Keywords: | MRI reconstruction compressed sensing Bregman method Dykstra-like proximal algorithm SENSE model |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《数学杂志》浏览原始摘要信息 |
| 点击此处可从《数学杂志》下载免费的PDF全文 |
|
