| 模糊形态运算及其性质与应用 |
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| 引用本文： | 吴敏金.模糊形态运算及其性质与应用[J].上海师范大学学报(自然科学版),1988(1). |
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| 作者姓名： | 吴敏金 |
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| 作者单位： | 现代教育技术研究所 |
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| 摘 要： | 本文试图从模糊集合理论的观点出发,综合以往关于形态分析的研究成果,把数学形态学与顺序统计学有机结合起来,建立所谓模糊形态学。首先阐述模糊集合 p 分位形态运算的基本概念,然后证明这种形态运算的一系列代数、几何与统计特性,最后简述它对图象分析与模式识别的应用,即 p 分位形态分析。
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| 关 键 词： | 模糊形态学 模糊集合的p分位运算 加权顺序滤波 模糊形态分析 |
Fuzzy Morphology with Its Properties and Application |
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| WU MINJIN.Fuzzy Morphology with Its Properties and Application[J].Journal of Shanghai Normal University(Natural Sciences),1988(1). |
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| Authors: | WU MINJIN |
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| Institution: | Institute of Modern Educational Technology |
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| Abstract: | Mathematical morphology is associated with order statistics in the view of fuzzy set theory and fuzzy morphology is founded.We introduce the concept of percentile operation of fuzzy sets,demonstrate a series of algebrical,geometrical and statistical properties of the percentile operation,and prove the identical relationship between percentile operation and order filtering for discrete fuzzy sets.One of the applications of fuzzy morphology is briefly illustrated. |
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| Keywords: | fuzzy morphology percentile operation of fuzzy sets weighted order filtering fuzzy morphologic analysis |
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