Analyzing Looming Motion Components From Their Spatiotemporal Spectral Signature

This paper addresses the use of spatiotemporal transform methods applied to the analysis of dynamic image sequences and the characterization of image motion. Image motion including a divergent component (resulting from a looming camera component) is analyzed in the spatiotemporal Mellin Transform (MT) domain, resulting in the separation of the spectrum into two parts: a structural term corresponding to the spatial MT of the static image, and a kinematic term depending on Time-to-Collision (a motion support). We examine potential applications of this property for the recovery of image motion from integral image brightness measurements and the computation of Time-To-Collision using spatiotemporal MT analysis.