Abstract
In the bi-dimensional empirical mode decomposition, the determination of the stopping criterion is an important reason for obtaining a complete bi-dimensional intrinsic mode function. An excellent stopping criterion can adapt the image characteristics to stop the decomposition. This paper first analyzes the number and distribution of extreme points reflecting the physical state of the mean surface during the sieving process. Then, bi-dimensional empirical mode decomposition and the stopping criterion based on the number and change of extreme points is proposed. In order to verify the adaptability, effectiveness and reliability of the criterion, the relevant examples were subjected to bi-dimensional empirical mode decomposition experiments under the conditions of the traditional stopping criterion, the GRILL stopping criterion and the stopping criterion proposed in this paper. The results show that the intrinsic mode function obtained by the stop criterion proposed in this paper is more in line with the physical characteristics, more reflective of the original image feature information and with higher accuracy.
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Acknowledgements
This work is supported by National Science Foundation Project of P. R. China (no. 61701188) and the Foundation of Science and Technology on Information Assurance Laboratory (no. KJ-17-101).
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Ma, X., Zhou, X. & An, F. Bi-dimensional empirical mode decomposition (BEMD) and the stopping criterion based on the number and change of extreme points. J Ambient Intell Human Comput 11, 623–633 (2020). https://doi.org/10.1007/s12652-018-0955-4
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DOI: https://doi.org/10.1007/s12652-018-0955-4