TY - GEN
T1 - Persistent homology of attractors for action recognition
AU - Venkataraman, Vinay
AU - Ramamurthy, Karthikeyan Natesan
AU - Turaga, Pavan
N1 - Publisher Copyright:
© 2016 IEEE.
PY - 2016/8/3
Y1 - 2016/8/3
N2 - In this paper, we propose a novel framework for dynamical analysis of human actions from 3D motion capture data using topological data analysis. We model human actions using the topological features of the attractor of the dynamical system. We reconstruct the phase-space of time series corresponding to actions using time-delay embedding, and compute the persistent homology of the phase-space reconstruction. In order to better represent the topological properties of the phase-space, we incorporate the temporal adjacency information when computing the homology groups. The persistence of these homology groups encoded using persistence diagrams are used as features for the actions. Our experiments with action recognition using these features demonstrate that the proposed approach outperforms other baseline methods.
AB - In this paper, we propose a novel framework for dynamical analysis of human actions from 3D motion capture data using topological data analysis. We model human actions using the topological features of the attractor of the dynamical system. We reconstruct the phase-space of time series corresponding to actions using time-delay embedding, and compute the persistent homology of the phase-space reconstruction. In order to better represent the topological properties of the phase-space, we incorporate the temporal adjacency information when computing the homology groups. The persistence of these homology groups encoded using persistence diagrams are used as features for the actions. Our experiments with action recognition using these features demonstrate that the proposed approach outperforms other baseline methods.
KW - Persistence diagram
KW - Persistent homology
KW - Phase-space reconstruction
UR - http://www.scopus.com/inward/record.url?scp=85006721604&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85006721604&partnerID=8YFLogxK
U2 - 10.1109/ICIP.2016.7533141
DO - 10.1109/ICIP.2016.7533141
M3 - Conference contribution
AN - SCOPUS:85006721604
T3 - Proceedings - International Conference on Image Processing, ICIP
SP - 4150
EP - 4154
BT - 2016 IEEE International Conference on Image Processing, ICIP 2016 - Proceedings
PB - IEEE Computer Society
T2 - 23rd IEEE International Conference on Image Processing, ICIP 2016
Y2 - 25 September 2016 through 28 September 2016
ER -