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›› 2005, Vol. 31 ›› Issue (15): 7-9.

• 论文 • 上一篇    下一篇

关于灰度数学形态学的表示定理

邓廷权,戴琼海   

  1. 清华大学自动化系,清华大学自动化系 北京 100084
  • 发布日期:2005-08-15

Representation Theorem of Grey-scale Mathematical Morphology

DENG Tingquan, DAI Qionghai   

  1. (Department of Automation, Tsinghua University, Beijing 100084)
  • Published:2005-08-15

摘要: 算子表示定理是数学形态学理论的重要组成部分及其应用基础。该文基于容许完备格和模糊逻辑研究了一种具有广泛意义的较弱的算子表示定理形式。

关键词: 数学形态学, Matheron表示定理, 模糊逻辑, 完备格, 图像分析

Abstract: The representation theorem of operators is the important constitution of the theory of mathematical morphology and the base of itsapplications. A weaker version of the representation theorem of operators for grey-scale morphology in the sense of generality is studied based onadmissible complete lattices and fuzzy logic.

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