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基于多粒度粗糙模糊集的图像边缘检测
引用本文:王丹,吴孟达,毛紫阳,周凡程.基于多粒度粗糙模糊集的图像边缘检测[J].模式识别与人工智能,2012,25(2):195-204.
作者姓名:王丹  吴孟达  毛紫阳  周凡程
作者单位:国防科技大学数学与系统科学系 长沙 410073
基金项目:国家自然科学基金资助项目(No.60872152)
摘    要:提出一种基于粗糙模糊集的多粒度边缘检测方法.该方法结合粗糙集处理不确定信息的能力和C-Set多粒度处理的思想,通过定义粗糙运算和运算给出边缘表示模型,引入粒度参数对边界定位精度和噪声抑制进行调节,引入结构相似度参数融合粗糙上近似和下近似,以获得更加精确的边界.该检测方法在定位精度上具有粒度不变性,并具有一定噪声抑制作用,实验结果显示其具有较好的边缘检测效果.

关 键 词:粗糙模糊集  粒度  结构相似度  边缘检测

Image Edge Detection Based on Multi-Granularity Rough Fuzzy Set
WANG Dan , WU Meng-Da , MAO Zi-Yang , ZHOU Fan-Cheng.Image Edge Detection Based on Multi-Granularity Rough Fuzzy Set[J].Pattern Recognition and Artificial Intelligence,2012,25(2):195-204.
Authors:WANG Dan  WU Meng-Da  MAO Zi-Yang  ZHOU Fan-Cheng
Affiliation:(Department of Mathematics and Systems Science,National University of Defense Technology,Changsha 410073)
Abstract:An edge detection method based on rough fuzzy set is presented which combines advantages of rough sets that can handle vagueness and C-Set that can provide multi-granularity.An edge expression is proposed by the definition of rough  operation and  operation.Granularity w and structure similarity ε are introduced for better edge detection.The experimental results show that the image edge detection algorithm performs well.
Keywords:Rough Fuzzy Set  Granularity  Structure Similarity  Edge Detection
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