论文标题
通过正规化的最佳质量传输可视化流体流，并应用于神经科学
Visualizing fluid flows via regularized optimal mass transport with applications to neuroscience
论文作者
论文摘要
正则化最佳质量传输（ROMT）问题为Benamou和Brenier提出的最佳质量传输（OMT）问题的原始动态公式中的连续性方程增添了扩散项。我们表明，ROMT模型是计算流体动力学（CFD）的强大工具，用于可视化流体流中的流体流。在当前的工作中，我们描述了如何修改先前的数值方法以进行有效实现，从而大大降低了计算运行时。提供了用于合成和真实数据的数值结果。
Regularized optimal mass transport (rOMT) problem adds a diffusion term to the continuity equation in the original dynamic formulation of the optimal mass transport (OMT) problem proposed by Benamou and Brenier. We show that the rOMT model serves as a powerful tool in computational fluid dynamics (CFD) for visualizing fluid flows in the glymphatic system. In the present work, we describe how to modify the previous numerical method for efficient implementation, resulting in a significant reduction in computational runtime. Numerical results applied to synthetic and real-data are provided.
