A physical interpretation of regularization for optical flow methods in fluids
A physical interpretation of regularization for optical flow methods in fluids
复制标题
流体光流方法正则化的物理解释
作者：
B. Schmidt;J. Sutton
这封信建立了对正则化过程的物理解释，正则化过程是解决流体中光流问题的一部分。为此，通过直接检查Navier-Stokes方程，发展了一种新的正则化光流测速(OFV)方法。据作者所知，这是第一次使用粘性流体的控制流体输运方程导出正则化格式。目前的正则化方案是基于这样的认识，即OFV中的正则化应该起到与流体动力学中的粘度相同的作用。对二维和三维无反应流和反应流的直接数值模拟合成粒子图像数据的评估表明，所提出的正则化方案减小了绝对误差，并增强了正则化强度的选择的鲁棒性。
This Letter establishes a physical interpretation of the regularization process that occurs as part of the solution to an optical flow problem within fluids. In doing so, a new regularization scheme for optical flow velocimetry (OFV) methods is developed through direct inspection of the Navier–Stokes equations. To the authors’ knowledge, this is the first time that a regularization scheme has been derived using the governing fluid transport equations for viscous fluids. The current regularization scheme is based on the insight that regularization in OFV should play the same role as viscosity in fluid dynamics. Evaluation on synthetic particle image data from 2D and 3D direct numerical simulations of nonreacting and reacting flows show that the proposed regularization scheme reduces the absolute error and leads to enhanced robustness with respect to the choice of the strength of regularization.