A new construction for motion and speed capture with conical wavelets

Motion analysis and in particular, speed and rotation analysis, has been introduced in the 80s using the continuous wavelet transform(CWT) with Morlet wavelets. The motion-tuned WT appeared to be an efficient framework and an alternative to the optical flow (OF), the block matching (BM) or the phase difference, for the study of motion. In particular it has shown better performances in the case of noise, in the case of occlusions and in long temporal-dependency motions. However, the Morlet wavelet has defects that cause some difficulties when performing an analysis. By construction, Cauchy and conical wavelets alleviate these drawbacks. In particular, they can be oriented without interference on other parameters and characteristics of the filter. We have extended these wavelets to the spatio-temporal domain and to motion parameters, and we have studied the capabilities of this new Gaussian-Conical-Morlet wavelet (GCM). We present here the first analysis results with this new construction.