Two-Dimension Maximum Entropy Image Segmentation Approach Based on Chaotic Optimization

Xue-Feng Zhang, Jiu-lun Fan, F. Zhao
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Abstract

Chaotic optimization is a new optimization technique. Conventional two-dimension chaotic sequence is not a good way to two-dimension gray histogram image segmentation because it is proportional distributing in [0,1] times [0,1]. In order to generate a better chaotic sequence that is fit to two- dimension gray histogram. A chaotic sequence generating method is proposed based on Arnold chaotic system and Bezier curve generating algorithm. The main feature of the new chaotic sequence is that its distribution is approximately inside a disc whose center is (0.5,0.5), this means that the sequence is superior to Arnold chaotic sequences in image segmenting. As application, a two-dimension maximum entropy image segmentation method is presented based on chaotic optimization. Simulation results show that our method has better segmentation effect and lower computation time than the original two-dimension maximum entropy method.
基于混沌优化的二维最大熵图像分割方法
混沌优化是一种新的优化技术。传统的二维混沌序列以[0,1]乘以[0,1]成比例分布,不能很好地分割二维灰度直方图图像。为了生成较好的适合二维灰度直方图的混沌序列。提出了一种基于Arnold混沌系统和Bezier曲线生成算法的混沌序列生成方法。新混沌序列的主要特征是其分布近似于圆心为(0.5,0.5)的圆盘内,这意味着该序列在图像分割方面优于Arnold混沌序列。作为应用,提出了一种基于混沌优化的二维最大熵图像分割方法。仿真结果表明,与原二维最大熵方法相比,该方法具有更好的分割效果和更短的计算时间。
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