| 基于模糊逻辑的微粒测定算子 |
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| 引用本文： | 邓廷权,陈延梅.基于模糊逻辑的微粒测定算子[J].哈尔滨工业大学学报,2009(12):310-313. |
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| 作者姓名： | 邓廷权 陈延梅 |
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| 作者单位： | 哈尔滨工程大学理学院;哈尔滨工业大学数学系 |
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| 基金项目： | 国家自然科学基金资助项目(10771043);黑龙江省普通高等学校青年学术骨干支持计划资助项目(1151G076);黑龙江省博士后科学研究基金项目(LBH-Q05047);哈尔滨工程大学军用水下智能机器人技术国防科技重点实验室基金资助项目(002010260730) |
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| 摘 要： | 微粒测定是一种重要的图像分析与处理技术,建立微粒测定算子是技术的关键.在完备格框架中引入强凸模糊集概念.结合模糊逻辑算子研究凸模糊集和强凸模糊集之间的关系以及处理灰度图像的微粒测定算子基本理论.特别地,在Euclidean空间中建立具有平移不变性和数乘相容性的Minkowski测定算子.
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| 关 键 词： | 模糊逻辑 完备格 伴随 形态学图像分析 微粒测定算子 |
Granulometry based on Fuzzy logic |
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| DENG Ting-quan,CHEN Yan-mei.Granulometry based on Fuzzy logic[J].Journal of Harbin Institute of Technology,2009(12):310-313. |
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| Authors: | DENG Ting-quan CHEN Yan-mei |
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| Affiliation: | 1.College of Science,Harbin Engineering University,Harbin 150001,China;2.Dept.of Mathematics,Harbin Institute of Technology,Harbin 150001,China) |
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| Abstract: | Granulometry is an important technique in image analysis and processing.The key of this technique lies in establishing granulometric operators.A notion of strongly convex fuzzy set is introduced in the framework of complete lattice theory.In combination with fuzzy logical operators,the relationship between strongly convex fuzzy sets and convex fuzzy sets is investigated.Fundamental theory of granulometry that is used for analyzing and processing grey-scale images is developed.In particular,Minkowshi granulometry with properties of translation invariance and compatibility with scale multiplication is presented in an Euclidean space. |
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| Keywords: | fuzzy logic complete lattice adjunction morphological image analysis granulometry |
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