| Citation: | HU Jianping, DU Ying, XIE Qi, et al. A fast EMD for multi-channel images based on morphological filter[J]. Journal of Beijing University of Aeronautics and Astronautics, 2020, 46(11): 2007-2017. doi: 10.13700/j.bh.1001-5965.2020.0118(in Chinese)
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In order to improve the efficiency of the existing multi-channel image Empirical Mode Decomposition (EMD) methods, this paper presents a fast multi-channel image EMD method based on morphological filter. It uses the morphological expansion and erosion filters to compute the upper and lower envelopes of an image, which can accelerate the implementation of EMD for multi-channel images. The size of the morphological filter window is determined by the average extremum distance of each channel image. The proposed EMD method can decompose a multi-channel image adaptively into several Intrinsic Mode Function (IMF) images with scales from fine to coarse, and a residue representing the overall change trend of the image. A number of experimental results and comparisons show that the proposed method can not only accelerate the decomposition of EMD method, but also generate a good multi-scale adaptive decomposition for a multi-channel image. Its applications in image fusion and image watermarking and many experimental comparisons show that the proposed EMD method can be used to solve some specific image processing tasks conveniently and promptly.
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