Adaptive robust picture fuzzy clustering segmentation algorithm

For picture fuzzy clustering without ability of suppressing noise, an adaptive picture fuzzy clustering segmentation algorithm based on robust distance was proposed. Firstly, the gray level information of neighborhood pixels was embedded into the objective function of picture fuzzy clustering, and the robust image segmentation algorithm based on picture fuzzy clustering was obtained. Secondly, the squared Euclidean distance in the objective function of the robust picture fuzzy clustering was replaced by the robust distance of absolute function, and the regular factor in the robust picture fuzzy clustering was adaptively adjusted by the deviation of the current clustering pixel and the mean of its neighborhood information. Finally, the iterative expression of the adaptive robust picture fuzzy clustering based on the robust distance was obtained by using Lagrange multiplier method. Some segmentation results of gray images and their noised images show that the proposed segmentation algorithm has better segmentation performance and stronger ability of suppressing noise than picture fuzzy clustering algorithm, robust picture fuzzy clustering algorithm and existing robust fuzzy clustering algorithm. © 2019, Editorial Board of Journal of Huazhong University of Science and Technology. All right reserved.