Abstract
To improve the timeliness of the three-dimensional (3-D) maximum entropy method, an image segmentation method based on equivalent 3-D entropy and artificial fish swarm optimization algorithm is proposed. An equivalent 3-D entropy method without logarithmic operation is developed, and its equivalence is proved theoretically. The optimal threshold is determined based on the artificial fish swarm optimization algorithm so as to avoid exhaustive search and improve algorithm efficiency. The experimental results demonstrate that the proposed method is more time-efficient than the traditional 3-D entropy method and the equivalent 3-D entropy method without affecting segmentation. Compared with the one-dimensional entropy method and the two-dimensional entropy method, it is obviously superior in noise immunity and detail preservation.
Highlights
Image segmentation refers to the technique of dividing an image into nonoverlapping homogeneous regions and extracting the objects of interest
Ouyang, and Xu: Image segmentation based on equivalent three-dimensional entropy method and artificial fish swarm optimization algorithm those obtained by the logarithmic method and improves the efficiency of the algorithm
The optimal threshold is determined by the equivalent 3-D entropy equation shown in Eq [8], which avoids the time-consuming logarithmic operation
Summary
Image segmentation refers to the technique of dividing an image into nonoverlapping homogeneous regions and extracting the objects of interest. The processing speed is high, the noise immunity is poor In this regard, by using the information contained in the two-dimensional (2-D) histogram of the gray-scale distribution of image pixels and the average gray-scale distribution of their neighborhood, Abutaleb proposed a 2-D maximum entropy method that takes into account the neighborhood mean value information. In view of the searching performance of the artificial fish swarm optimization algorithm, a new threshold calculation method is developed based on the proposed objective function so as to further enhance the timeliness of the algorithm. Ouyang, and Xu: Image segmentation based on equivalent three-dimensional entropy method and artificial fish swarm optimization algorithm those obtained by the logarithmic method and improves the efficiency of the algorithm
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