在压缩感应MRI重建中对梯度驱动的Denoisers进行交汇复杂的准牛顿近距离方法.
Tao Hong1, Zhaoyi Xu2, Se Young Chun3
1Oden Institute for Computational Engineering and Sciences, University of Texas at Austin, Austin, TX 78712, USA, Department of Radiology, University of Michigan, Ann Arbor, MI 48109, USA.
概括
这项研究引入了一种更快,更复杂的近似牛顿近接方法,用于压缩感应 (CS) MRI 重建. 这种新的方法提高了基于模型的CS MRI使用梯度驱动的denoisers的融合速度和理论保证.
科学领域:
- 医疗成像医学成像
- 计算成像技术的成像
- 应用数学 应用数学 应用数学
背景情况:
- 基于模型的方法对于精确的压缩传感 (CS) MRI 重建至关重要.
- 有效的图像先验很难找到CS MRI.
- 插即用 (PnP) 和REGularization by Denoising (RED) 框架使用denoisers作为 priors. 这两种框架都使用了denoisers作为 priors.
研究的目的:
- 开发一个更快的数值解决器用于CS MRI重建使用梯度驱动的denoisers.
- 用卷积神经网络 (CNN) 否定器解决现有PNP/RED方法的理论限制.
- 为CS MRI中的非凸设置提供一种具有严格的融合保证的方法.
主要方法:
- 提出了一种新的复杂的准牛顿近位方法.
- 修改后的赫西安估计确保了复杂的MRI数据的赫米蒂安正确性.
- 对于非凸的优化问题,提供了严格的收分析.
主要成果:
- 与现有方法相比,拟议的方法显示了更快的趋同.
- 该方法有效地处理了CS MRI固有的复杂领域.
- 数字实验证实了该方法在各种采样轨迹上的有效性和效率.
结论:
- 开发的复杂的准牛顿近接方法在CS MRI重建方面取得了重大进展.
- 这项工作弥合了基于模型的CS MRI的实际性能和理论保证之间的差距.
- 拟议的技术有望加速MRI采集并改善图像质量.
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