The Bidimensional Empirical Mode Decomposition (BEMD) has taken its place among the most known decomposition methods as Fourier transform and wavelet, but the enormous execution time that it requires represents a real obstacle for its application. Hence the Fast and Adaptive Bidimensional Empirical Mode Decomposition (FABEMD) is proposed basically to overcome this obstacle by decreasing the execution time of the BEMD; its principle is based on the use of statistical filters to generate the upper and the lower envelopes instead of the interpolation functions used in the BEMD. In this work we propose a 3D extension of the FABEMD denoted Fast and Adaptive Tridimensional Empirical Mode Decomposition which can decompose a volume into a set of Tridimensional Intrinsic Mode Functions (TIMFs), the first TIMFs belong to the high frequencies and the last ones to the low frequencies. The proposed approach takes an efficient runtime compared with the considerable one required by the Multidimensional Ensemble Empirical Mode Decomposition, and it ensures a good quality of the decomposition in term of orthogonality and reconstruction. The obtained results are encouraging and will open a new road to three dimensional extensions of many applications.
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