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- W2306551009 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." @default.
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- W2306551009 date "2012-10-29" @default.
- W2306551009 modified "2023-10-09" @default.
- W2306551009 title "Extension of Analytic Signal conception on Dynamic Image Sequences" @default.
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