| PCNN与数学形态学在图像处理中的等价关系 |
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| 引用本文： | 顾晓东,张立明. PCNN与数学形态学在图像处理中的等价关系[J]. 计算机辅助设计与图形学学报, 2004, 16(8): 1029-1032 |
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| 作者姓名： | 顾晓东 张立明 |
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| 作者单位： | 复旦大学电子工程系,上海,200433;复旦大学电子工程系,上海,200433 |
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| 基金项目： | 中国博士后科学基金 ( 2 0 0 3 0 3 42 82 )，国家自然科学基金 ( 60 1710 3 6,3 0 3 70 3 92 )资助 |
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| 摘 要： | 揭示了有生物学依据的脉冲耦合神经网络(PCNN)与数学形态学之间的本质关系，并以颗粒分析为例进行了具体的分析，得到了文中提出的PCNN颗粒分析方法完全等价于一定结构元素下的数学形态学方法的结论．研究表明，PCNN进行图像处理时用到的脉冲并行传播特性完全等同于数学形态学中一定结构元素下的腐蚀运算，从而为数学形态学与PCNN之间的研究架起了桥梁．
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| 关 键 词： | 脉冲耦合神经网络 数学形态学 图像处理 颗粒分析 |
Equivalence Relation Between PCNN and Mathematical Morphology in Image Processing |
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| Gu Xiaodong Zhang Liming. Equivalence Relation Between PCNN and Mathematical Morphology in Image Processing[J]. Journal of Computer-Aided Design & Computer Graphics, 2004, 16(8): 1029-1032 |
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| Authors: | Gu Xiaodong Zhang Liming |
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| Abstract: | This paper reveals the essential connection between mathematical morphology and pulse coupled neural network (PCNN) which has the biological background. Granulometry is analyzed in detail as an example to show this essential connection and we come to the conclusion that the PCNN granulometry algorithm we proposed in this paper is entirely equal to the granulometry algorithm based on mathematical morphology with certain structuring elements. In the meantime, our research shows that the parallel pulse transmission characteristic of PCNN in image processing is equal to the erosion computation of mathematical morphology. Therefore, this paper bridges the gap between mathematical morphology and PCNN. |
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| Keywords: | pulse coupled neural network(PCNN) mathematical morphology image processing granulometry |
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