2DT conical wavelet with high aperture-selectivity for directional speed capture in video sequences

Cauchy and conical wavelets have been constructed as a response to the lack of aperture selectivity of the Mor-let wavelet. Furthermore, they allow a very simple adjustment of their angular selectivity. On the other hand, the Morlet wavelet has been tuned to speed in the 90s and its efficiency has been demonstrated for psychovisual analysis. It has also been used in a powerful aerial target tracking algorithm. These two interesting developments have been used here to build a new, highly directional, speed-tuned wavelet called Gaussian-conical Morlet (GCM). Like the Morlet wavelet, it presents very good characteristics in motion estimation and tracking, namely, long temporal dependence, robustness to noise and to occlusions. But for aperture selectivity and directional speed-capture, GCM easily outperforms Morlet. This paper describes the GCM construction, utilization and aperture performances.