Circular histogram thresholding on hue component is an important method in color image segmentation. However, existing circular histogram thresholding method based on Otsu criterion lacks the universality. To reduce the complexity and enhance the universality of thresholding on circular histogram, the cumulative distribution function is firstly introduced into circular histogram. Then, this paper expands circular histogram into the linearized one in anticlockwise direction or clockwise one by using optimal entropy of cumulative distribution function. In the end, fuzzy entropy thresholding method is utilized on linearized histogram to select optimal threshold for color image segmentation. Experimental results indicate that the proposed method has better performance and adaptability than the existing circular histogram thresholding method, which can increase pixel accuracy index by 30.12% and structure similarity index by 27.53%, respectively.

中文翻译：

---

用于彩色图像分割的基于熵的圆形直方图阈值

对色调分量进行圆形直方图阈值化是彩色图像分割中的一种重要方法。然而，现有的基于大津准则的圆形直方图阈值方法缺乏普遍性。为降低圆形直方图阈值的复杂性，增强其普适性，首先将累积分布函数引入圆形直方图。然后，本文利用累积分布函数的最优熵将圆形直方图扩展为逆时针方向或顺时针方向的线性化直方图。最后，在线性化直方图上利用模糊熵阈值法选择最优阈值进行彩色图像分割。实验结果表明，所提出的方法比现有的圆形直方图阈值方法具有更好的性能和适应性，