基于联合后置滤波器与分数阶光流模型相结合的运动分割算法

针对传统HS（Horn&Schnuck）光流估计算法存在奇异值、不能保留光流场边界不连续性、不能应对运动目标间相互遮挡等问题，提出一种联合后置滤波器的分数阶光流模型。在该模型中，应用分数阶微分处理HS模型中的平滑项以保留光流场的边界不连续性；通过分析结构张量特征值的数据特征来寻找光流场边缘点，利用联合流场散度与像素点投影差分的方法来检测遮挡区域；采用一种结合MF(Median Filter)中值滤波器、WMF(Weighted Median Filter)权值中值滤波器、BF(Bilateral Filter)双边滤波器的CPF(Combined Post Filter)联合后置滤波器，它能够通过检测是否存在遮挡、图像亮度不连续性、图像运动不连续性，自适应地调节光流场的扩散过程，从而获得更加准确的光流场。实验证明，该算法能在图像中存在光照变化、遮挡、多运动目标等复杂情况下精确地估计出光流场，且算法计算成本低，能满足实时性要求。

A Fractional-order Optical Flow Model based on Combined Post Filter

A combined post-filtering method for fractional-order optical flow model was proposed for improving the traditional HS (Horn&Schnuck) optical flow model about the following problems: illumination change, preserving the discontinuity, multiple motion problems and solve the occlusion problems. In this paper, a fractional-order smoothness constraint equation was used to replace the integer order of smoothness constraint of the original HS model to preserve the discontinuity of the edge of the optical flow field. Structure tensor was used to detect the edge of the optical flow field, the combined flow divergence and pixel projection difference method is used to detect occlusion. An integration of median filter, weighted median filter and bilateral filter was proposed to post-filter the optical flow field to get higher accuracy optical flow while maintain the low computation load. Extensive experiments demonstrate the superiority of our algorithm.