Comparison of Divergence-Free Filters for Cardiac 4D PC-MRI Data
Comparison of Divergence-Free Filters for Cardiac 4D PC-MRI Data
复制标题
心脏 4D PC-MRI 数据的无散滤波器比较
DOI：
10.1007/978-3-662-56537-7_44
复制
发表时间：
2018
期刊：
影响因子：
--
通讯作者：
B. Preim
中科院分区：
文献类型：
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作者：
M. F. Sereno;B. Köhler;B. Preim
4D PC-MRI能够在3D体积内测量时间分辨的血流方向。这些数据有助于进行全面的定性和定量分析。然而，噪声是引入的，例如，由于不均匀的磁场梯度。血液通常被认为是一种非牛顿流体，因此是不可压缩的，散度应为零。无散度过滤器执行这个模型假设，并已被证明可以提高数据质量。在本文中，我们比较了二项平滑和其中的三种技术：有限差分法（FDM），无发散径向基函数（DFRBF）和无发散小波（DFW）。结果表明：平均速度和最大速度有减小的趋势，平均线长有增大的趋势；我们推荐FDM或DFW无发散滤波作为4D PC-MRI处理管道的可选预处理步骤，因为它们具有几秒钟的可行计算时间。
4D PC-MRI enables the measurement of time-resolved blood flow directions within a 3D volume. These data facilitate a comprehensive qualitative and quantitative analysis. However, noise is introduced, e.g., due to inhomogeneous magnetic field gradients. Blood is commonly assumed as a non-Newtonian fluid, thus, incompressible, and divergence should be zero. Divergence-free filters enforce this model assumption and have been shown to improve data quality. In this paper, we compare binomial smoothing and three of these techniques: The finite difference method (FDM), divergence-free radial basis functions (DFRBF) and divergence-free wavelets (DFW). The results show that average and maximum velocities tend to decrease, while average line lengths tend to increase slightly. We recommend FDM or DFW divergence-free filtering as an optional pre-processing step in 4D PC-MRI processing pipelines, as they have feasible computation times of few seconds.