Proximity Operator and Its Application in Rapid MR Image Reconstruction

LI Ben-xing; CAO Bao-xiang; MA Jian-hua

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Proximity Operator and Its Application in Rapid MR Image Reconstruction

更新时间：2025-07-16

- Proximity Operator and Its Application in Rapid MR Image Reconstruction
- Acta Electronica Sinica Vol. 38, Issue 12, Pages: 2827-2831(2010)
- 作者机构：
  
  1. 曲阜师范大学计算机科学学院,山东曲阜,273165
  2. 南方医科大学生物医学工程学院医学信息研究所,广东,广州,510515
  3. 曲阜师范大学计算机科学学院山东曲阜,273165
  4. 南方医科大学生物医学工程学院医学信息研究所广东广州,510515
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP391.4
- Published：2010
- 稿件说明：
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LI Ben-xing, CAO Bao-xiang, MA Jian-hua. Proximity Operator and Its Application in Rapid MR Image Reconstruction[J]. Acta Electronica Sinica, 2010, 38(12): 2827-2831.
DOI：

LI Ben-xing, CAO Bao-xiang, MA Jian-hua. Proximity Operator and Its Application in Rapid MR Image Reconstruction[J]. Acta Electronica Sinica, 2010, 38(12): 2827-2831. DOI：

摘要

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.

Abstract

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.

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