Temporal Analysis of Motion in Video Sequences through Predictive Operators

We study the problem of recovering temporal parameters which act as predictive operators, generalize time-to-collision and have direct interpretation for navigational purposes for piecewise arbitrarily smooth (polynomial) motion. A result stating that, for monocular observers undergoing arbitrary polynomial laws, these parameters are visually observable, is presented in the first part of this paper. This property suggests an alternate temporal representation of visual looming information. The second part of this paper is concerned with algorithmic approaches for environments with maneuvering agents. A method addressing model order determination, collision detection, and temporal parameter estimation is proposed. Experimental results are reported.

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