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聂方彦, 高潮, 郭永彩. 灰度图像二维最小类方差递推及差分演化的快速分割[J]. 计算机辅助设计与图形学学报, 2010, 22(11): 1866-1873.
引用本文: 聂方彦, 高潮, 郭永彩. 灰度图像二维最小类方差递推及差分演化的快速分割[J]. 计算机辅助设计与图形学学报, 2010, 22(11): 1866-1873.
Nie Fangyan, Gao Chao, Guo Yongcai. Fast Gray-Level Image Segmentation Based on Two-Dimensional Minimum Class Variance with Recursion and Differential Evolution[J]. Journal of Computer-Aided Design & Computer Graphics, 2010, 22(11): 1866-1873.
Citation: Nie Fangyan, Gao Chao, Guo Yongcai. Fast Gray-Level Image Segmentation Based on Two-Dimensional Minimum Class Variance with Recursion and Differential Evolution[J]. Journal of Computer-Aided Design & Computer Graphics, 2010, 22(11): 1866-1873.

灰度图像二维最小类方差递推及差分演化的快速分割

Fast Gray-Level Image Segmentation Based on Two-Dimensional Minimum Class Variance with Recursion and Differential Evolution

  • 摘要: 为克服Otsu法阈值偏离及一维最小类方差法在含噪图像分割中性能不佳的问题,基于图像灰度级二维直方图,提出一种二维最小类方差快速阈值化方法.通过递推方式计算得到图像前景及背景在不同阈值向量上的灰度级类概率及类均值,在此基础上,应用差分演化算法搜寻使图像类方差最小的阈值向量,并用该阈值向量对图像实施分割.在合成及真实图像上的实验结果表明,采用文中方法可获得良好的分割性能,有效地克服了Otsu法及一维最小类方差法的不足;采用递推及差分演化算法使计算时间大幅降低,可满足工程应用需求.

     

    Abstract: Based on two-dimensional gray-level histogram,a fast image thresholding method is presented to overcome the threshold deviation problem of the Otsu method and improve the performance of one-dimensional minimum class variance methods.The gray-level class probabilities and class means about image foreground and background on different threshold vectors were computed by recursion.Differential evolution algorithm is employed to search the optimal threshold vector to minimize the image class variance.The image is then segmented based on the optimal threshold vector.Experimental results on both synthetic and real images show that the proposed method has better segmentation performance,and overcome the drawbacks of the aforementioned Otsu method and one-dimensional minimum class variance methods.The computational cost is greatly reduced with the recursion and differential evolution algorithms employed in our proposed method.

     

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