This paper proposes a system for people trajectory shape analysis by exploiting a statistical approach which accounts for sequences of both directional (the directions of the trajectory) and linear (the speeds) data. A semi-directional distribution (AWLG - Approximated Wrapped and Linear Gaussian) is used with a mixture to find main directions and speeds. A variational version of the mutual information criterion is proposed to prove the statistical dependency of the data. Then, in order to compare data sequences, we define an inexact method with a Kullback-Leibler-based distance measure and employ a global alignment technique is to handle sequences of different lengths and with local shifts or deformations. A comprehensive analysis of variable dependency and parameter estimation techniques are reported and evaluated on both synthetic and real data sets.
Learning People Trajectories using Semi-directional Statistics / Calderara, Simone; Prati, Andrea; Cucchiara, Rita. - STAMPA. - (2009), pp. 213-218. (Intervento presentato al convegno Sixth IEEE International Conference on Advanced Video and Signal Based Surveillance tenutosi a Genoa, Italy nel 2-4 September 2009) [10.1109/AVSS.2009.34].
Learning People Trajectories using Semi-directional Statistics
CALDERARA, Simone;CUCCHIARA, Rita
2009
Abstract
This paper proposes a system for people trajectory shape analysis by exploiting a statistical approach which accounts for sequences of both directional (the directions of the trajectory) and linear (the speeds) data. A semi-directional distribution (AWLG - Approximated Wrapped and Linear Gaussian) is used with a mixture to find main directions and speeds. A variational version of the mutual information criterion is proposed to prove the statistical dependency of the data. Then, in order to compare data sequences, we define an inexact method with a Kullback-Leibler-based distance measure and employ a global alignment technique is to handle sequences of different lengths and with local shifts or deformations. A comprehensive analysis of variable dependency and parameter estimation techniques are reported and evaluated on both synthetic and real data sets.File | Dimensione | Formato | |
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