ABSTRACT In this work, we study the reconstruction of blood velocity with contrast enhanced computed tomography with tomographic projections perpendicular to the main flow field direction. The inverse problem is regularized with a convection-diffusion partial differential equation and with the Navier-Stokes equation. The velocity field is reconstructed together with the density field with a first-order adjoint method. The method is validated on a simple phantom. The addition of a physical constraint with a partial differential equation for the velocity field improves the reconstruction results.

中文翻译：

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基于 Navier-Stokes 方程的血管血流对比增强断层扫描重建。

摘要 在这项工作中，我们研究了血流速度的重建与对比增强计算机断层扫描与垂直于主要流场方向的断层扫描投影。逆问题使用对流-扩散偏微分方程和 Navier-Stokes 方程进行正则化。速度场与密度场一起用一阶伴随法重建。该方法在一个简单的体模上得到验证。为速度场添加带有偏微分方程的物理约束改善了重建结果。