The goal of this paper is propose a mathematical framework for optical flow refinement with non-quadratic regularization using variational techniques. We demonstrate how the model can be suitably adapted for both rigid and fluid motion estimation. We study the problem as an abstract IVP using an evolutionary PDE approach. We show that for a particular choice of constraint our model approximates the continuity model with non-quadratic regularization using augmented Lagrangian techniques. We subsequently show the results of our algorithm on different datasets.

翻译：本文的目的是提出一个数学框架,用变异技术改进光学流,使非水陆流动正规化。我们展示模型如何能适当适应僵硬和流体运动估计。我们用进化的PDE方法将问题作为一个抽象的IVP来研究。我们显示,对于特定的制约选择,我们的模型使用增强的Lagrangian技术,将连续性模型与非水陆正规化相近。我们随后展示了不同数据集的算法结果。