论文标题
通过轨迹分析对阳性半决矩阵的流形来建模循环活性的统计数据
Modelling the Statistics of Cyclic Activities by Trajectory Analysis on the Manifold of Positive-Semi-Definite Matrices
论文作者
论文摘要
在本文中，提出了一个模型来提取统计摘要，以表征循环身体动作的重复，例如健身运动，目的是检查观察到的动作对模板一个的遵守情况并突出显示未正确执行的动作部分（如果有）。所提出的系统依靠riemannian指标来计算两个姿势之间的距离，以至于保留了姿势描述符的流形的几何形状；检测每个周期的开始和结束的模型；一个模型以时间对齐不同循环的姿势，以准确估计\ emph {横截面}的平均值和跨不同周期的姿势的方差。使用从互联网拍摄的健身房视频来证明拟议的模型。
In this paper, a model is presented to extract statistical summaries to characterize the repetition of a cyclic body action, for instance a gym exercise, for the purpose of checking the compliance of the observed action to a template one and highlighting the parts of the action that are not correctly executed (if any). The proposed system relies on a Riemannian metric to compute the distance between two poses in such a way that the geometry of the manifold where the pose descriptors lie is preserved; a model to detect the begin and end of each cycle; a model to temporally align the poses of different cycles so as to accurately estimate the \emph{cross-sectional} mean and variance of poses across different cycles. The proposed model is demonstrated using gym videos taken from the Internet.
