基于空间邻域复杂度和直觉模糊集的FCM图像分割算法

FCM IMAGE SEGMENTATION ALGORITHM BASED ON SPATIAL NEIGHBORHOOD COMPLEXITY AND INTUITIONISTIC FUZZY SET

  • 摘要: 模糊C-均值(FCM)算法进行图像分割时只考虑像素的灰度信息,忽略了像素的邻域信息,导致分割结果不准确。针对此问题,该文考虑图像像素间的分布特征和相互影响设计一个复杂度,复杂度的设计是为了增加像素空间邻域信息在算法中所占权重。将此复杂度信息融入FCM算法中;结合直觉模糊集理论引入扰散度和非隶属度,完善图像中的不确定信息,优化隶属度矩阵。实验结果表明,该算法弱化了噪声对图像的影响,对边缘细节的处理具有更强的鲁棒性。

     

    Abstract: Fuzzy C-means (FCM) algorithm only considers the gray information of pixels and ignores the neighborhood information of pixels, resulting in inaccurate segmentation results. To solve this problem, considering the distribution characteristics and interaction between image pixels, this paper designs a complexity to increase the weight of pixel spatial neighborhood information in the algorithm. This complexity information was integrated into FCM algorithm. Combined with intuitionistic fuzzy set theory, hesitation degree and non-membership degree were introduced to improve the uncertain information in the image and optimize the membership matrix. Experimental results show that the algorithm weakens the influence of noise on the image and has stronger robustness to the processing of edge details.

     

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