Optimal control formulation for determining optical flow
Optimal control formulation for determining optical flow
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DOI：
10.1137/s1064827501386481
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发表时间：
2002-01-01
影响因子：
3.1
通讯作者：
Kunisch, K
中科院分区：
文献类型：
--
作者：
Borzì, A;Ito, K;Kunisch, K
提出了确定光流的最佳控制公式。新框架与之前的方法的不同之处在于，它不需要区分数据，并且将光流与图像重建结合起来。它可以被视为具有跟踪类型成本函数的系数控制问题。提出了一种求解由双曲和椭圆偏微分方程组成的最优系统的数值算法。数值实验证明了最优控制方法的有效性。
An optimal control formulation for determining optical flow is presented. The new framework differs from preceding approaches in that it does not require differentiation of the data and does combine optical flow with image reconstruction. It can be considered as a control-in-the-coefficients problem with a cost functional of tracking type. A numerical algorithm that solves the optimality system consisting of hyperbolic and elliptic partial differential equations is presented. Numerical experiments demonstrate the effectiveness of the optimal control approach.