Digital image processing (2nd ed.)
Digital image processing (2nd ed.)
Texture Classification Through Directional Empirical Mode Decomposition
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 4 - Volume 04
Signal Period Analysis Based on Hilbert-Huang Transform and Its Application to Texture Analysis
ICIG '04 Proceedings of the Third International Conference on Image and Graphics
Neighborhood Limited Empirical Mode Decomposition and Application in Image Processing
ICIG '07 Proceedings of the Fourth International Conference on Image and Graphics
Improved bi-dimensional EMD and Hilbert spectrum for the analysis of textures
Pattern Recognition
Generalized Hilbert transform and its properties in 2D LCT domain
Signal Processing
Parameter estimation of 2-D random amplitude polynomial-phasesignals
IEEE Transactions on Signal Processing
Adaptive Signal Decomposition Based on Local Narrow Band Signals
IEEE Transactions on Signal Processing - Part I
IEEE Transactions on Signal Processing
One or Two Frequencies? The Empirical Mode Decomposition Answers
IEEE Transactions on Signal Processing
Hypercomplex signals-a novel extension of the analytic signal tothe multidimensional case
IEEE Transactions on Signal Processing
Representing images using points on image surfaces
IEEE Transactions on Image Processing
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This paper investigates how the bi-dimensional empirical mode decomposition (BEMD) behaves in digital images via two components. First, some definitions of components are given. Then the theoretical analysis is presented to show that in digital images there might be sparse extrema sets and the sifting process of BEMD converges to the true component provided that the sparse extrema sets do exist. Also, the feature of 2D component in digital images is explored via composite two-component signals. The three-dimensional cubes disclosing the performance of BEMD are presented, which turn out to be in good agreement with intuition and physical interpretation. This paper has also shown that the sampling period, the cross-angle, the amplitude ratio and the frequency ratio between the components will affect the separation of them and some instructive conclusions are achieved as well. The theoretical analysis is provided for analyzing the observed behaviors and supported by numerical experiments. The main aim of this study is primarily to contribute to a better understanding of the possibilities and limitations offered by BEMD in digital images.