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arXiv 1809.06198math.NAcs.NA
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磁共振平流成像参数估计问题的共轭梯度法

A Conjugate-Gradient Approach to the Parameter Estimation Problem of Magnetic Resonance Advection Imaging

Simon Hubmer, Andreas Neubauer, Ronny Ramlau, Henning U. Voss

摘要:

我们认为逆问题的估计空间变化的脉搏波速度在血管中的大脑中的动态MRI数据,因为它出现在最近提出的成像技术的磁共振平流成像(MRAI)。该问题被制定为一个线性算子方程与噪声运营商和解决使用共轭梯度型方法。实验数据的数值例子表明,所开发的算法相比,以前提出的方法的有用性和优势。

英文摘要:

We consider the inverse problem of estimating the spatially varying pulse wave velocity in blood vessels in the brain from dynamic MRI data, as it appears in the recently proposed imaging technique of Magnetic Resonance Advection Imaging (MRAI). The problem is formulated as a linear operator equation with a noisy operator and solved using a conjugate gradient type approach. Numerical examples on experimental data show the usefulness and advantages of the developed algorithm in comparison to previously proposed methods.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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