Title :
Rotational wavelet transforms for motion analysis, estimation and tracking
Author :
Leduc, Jean-Pierre ; Corbett, Jonathan R. ; Wickerhauser, Malden V.
Author_Institution :
Dept. of Math., Washington Univ., St. Louis, MO, USA
Abstract :
This paper addresses the problem of estimating, analyzing and tracking objects moving with spatio-temporal rotational motion (i.e. the angular velocity of spinning or orbiting motions). It is assumed that the digital signals of interest are acquired from a camera and structured as digital image sequences. The trajectories in the signal are two-dimensional spatial projections in time of motion taking place in a three-dimensional space. The purpose of this work is to focus on the rotational motion, i.e. estimate the angular velocity and acceleration. In natural scenes, rotational motion usually evolves on a trajectory and then composes with translational or accelerated motion. This paper shows that the trajectory parameters and the rotational parameters can be efficiently estimated and tracked either simultaneously or separately. The final goal of this work is to provide selective reconstructions of moving objects of interest. This paper constructs new continuous wavelet transforms that can be tuned to both translational and rotational motion. The parameters of analysis that are taken into account in these rotational wavelet transforms are space and time position, velocity, spatial scale, angular orientation and angular velocity. The continuous wavelet functions are finally discretized for signal processing. The link between rotational motion, symmetry and critical sampling is also presented. Simulations have been performed with estimation, detection and tracking on natural scenes
Keywords :
image reconstruction; image sampling; image sequences; motion estimation; natural scenes; parameter estimation; rotation; tracking; wavelet transforms; acceleration; angular orientation; angular velocity; critical sampling; digital image sequences; digital signals; motion analysis; motion estimation; moving objects; natural scenes; orbiting motions; parameter estimation; rotational motion; rotational parameters; rotational wavelet transforms; selective reconstructions; signal processing; signal trajectories; spatial scale; spatio-temporal rotational motion; spinning motions; symmetry; tracking; trajectory parameters; two-dimensional spatial projections; velocity; Acceleration; Angular velocity; Continuous wavelet transforms; Image motion analysis; Layout; Motion analysis; Motion estimation; Tracking; Wavelet analysis; Wavelet transforms;
Conference_Titel :
Image Processing, 1998. ICIP 98. Proceedings. 1998 International Conference on
Conference_Location :
Chicago, IL
Print_ISBN :
0-8186-8821-1
DOI :
10.1109/ICIP.1998.723346