Temporal Reflection Symmetry of Human Actions: A Riemannian Analysis
Temporal Reflection Symmetry of Human Actions: A Riemannian Analysis
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人类行为的时间反射对称性：黎曼分析
DOI：
10.5244/c.29.diffcv.10
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发表时间：
2015
影响因子：
0.5
通讯作者：
P. Turaga
中科院分区：
文献类型：
--
作者：
Qiao Wang;Rushil Anirudh;P. Turaga
物体的空间对称性研究频繁，而时间对称性的测量问题却很少被探讨。在本文中，我们提出了一个数学框架，该框架利用最近开发的微分几何方法来量化视频数据运动中的时间反射对称性，其中人类运动被建模为黎曼流形上的轨迹。使用最近提出的传输平方根速度函数（TSRVF）表示，将运动中的时间不对称量分解为空间分量和时间分量，每个分量都通过不对称分数进行量化。
While spatial symmetry of objects is studied frequently, the problem of measuring temporal symmetry has rarely been explored. In this paper we present a mathematical framework that utilizes a recently developed differential geometric approach to quantify temporal reflection symmetry in movements from video data, in which human movements are modeled as trajectories on Riemannian manifolds. Using the recently proposed transport square-root velocity functions (TSRVF) representation, the amounts of temporal asymmetry in movements are decomposed into a spatial component and a temporal one, each of which is quantified by an asymmetry score.