Extension of Analytic Signal conception on Dynamic Image Sequences

Liang Wang 1, * Zhengjun Liu 2, 3 Patrick Girard 4 Patrick Clarysse 1 Philippe Delachartre 2
* Corresponding author
1 MOTIVATE - Imagerie et modélisation Vasculaires, Thoraciques et Cérébrales
CREATIS - Centre de Recherche en Acquisition et Traitement de l'Image pour la Santé : 139739
2 Imagerie Ultrasonore
CREATIS - Centre de Recherche en Acquisition et Traitement de l'Image pour la Santé
4 RMN et optique : De la mesure au biomarqueur
CREATIS - Centre de Recherche en Acquisition et Traitement de l'Image pour la Santé
Abstract : This paper presents an algebraic framework and an implementation for the 2D + t analytic signal by using Clifford biquaternions and Clifford Fourier transform. The contribution of this work is to define and realize the analytical signal for space-time analysis of video sequences, whereas most of the previous works are based on 2D images. It enables us to obtain the physical parameters related to time dimension from some specific cases of 2D + t analytic signal. Here, we describe the numerical calculation method to obtain the space-time analytical signal. Considering the simulation example of a progressive plane wave and an amplitude modulated wave, the calculation of algebraical and numerical hyper-analytic is introduced. The physical parameters of the phase function, such as instantaneous frequency, phase velocity and group velocity are extracted. Numerical results are given for validating the proposed method and show the potential of physical parameters estimating method.
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Liang Wang, Zhengjun Liu, Patrick Girard, Patrick Clarysse, Philippe Delachartre. Extension of Analytic Signal conception on Dynamic Image Sequences. 9ème édition de la conférence MAnifestation des JEunes Chercheurs en Sciences et Technologies de l'Information et de la Communication - MajecSTIC 2012, Nicolas Gouvy, Oct 2012, Villeneuve d'Ascq, France. ⟨hal-00780356⟩

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