在压缩感应MRI中进行图像重建的复杂的准牛顿近接方法
Tao Hong1, Luis Hernandez-Garcia1, Jeffrey A Fessler2
1Department of Radiology, University of Michigan, Ann Arbor, MI 48109, USA.
概括
这项研究引入了一种新的复杂的准牛顿近位方法 (CQNPM),用于更快的压缩传感 (CS) MRI 重建. 通过有效地解决加权近位映射 (WPM),使得CQNPM在重建非卡尔特斯式MRI数据方面变得实用.
科学领域:
- 医疗成像医学成像
- 优化算法 优化算法
- 信号处理 信号处理
背景情况:
- 基于模型的方法对于压缩传感 (CS) 磁共振成像 (MRI) 重建至关重要.
- 这些方法依赖于调节器来描述图像属性.
- 重建通常被定义为一个复合优化问题,通常用加速近位方法 (APM) 来解决.
研究的目的:
- 为CS MRI重建提出一种新的复杂准牛顿近位方法 (CQNPM).
- 在CQNPM中解决加权近位映射 (WPM) 的计算挑战.
- 提高MRI中先进的重建技术的效率和实用性.
主要方法:
- 开发一个复杂的准牛顿近位方法 (CQNPM).
- 波形和总变异调节器的集成用于CS MRI.
- 关于解决加权近位映射 (WPM) 的高效算法的建议.
主要成果:
- CQNPM显示了更快的融合,比传统的APM需要更少的代.
- 提出的高效WPM解决方案使得CQNPM在计算上可行.
- 数字实验证实了CQNPM在非卡特西安式MRI数据重建中的有效性和效率.
结论:
- 在CS MRI重建中,CQNPM可显著提高合速度.
- 有效的WPM解决方案是CQNPM实际应用的关键.
- 该方法被证明是复杂的,非卡尔特斯核磁共振数据集重建的有效和高效的方法.
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