一类灰度形态学膨胀和腐蚀算子

doi:10.13371/j.cnki.chin.q.j.m.2017.02.008

数学季刊 ›› 2017, Vol. 32 ›› Issue (2): 181-186.doi: 10.13371/j.cnki.chin.q.j.m.2017.02.008

一类灰度形态学膨胀和腐蚀算子

Department of Mathematics, Suzhou University of Science and Technology

收稿日期:2015-03-11 出版日期:2017-06-30 发布日期:2020-10-23
作者简介:GUO Yan-yan(1985-), female, native of Linyi, Shandong, a graduate of Suzhou University of Science and Technology, engages in mathematical morphology; GUO Qi(corresponding author)(1957-), male,native of Qingdao, Shandong, a professor of Suzhou University of Science and Technology, Ph.D., engages in functional analysis, convex geometrical analysis and mathematical morphology.
基金资助:
Supported by the National Natural Science Foundation of China(11671293,11271282)；

A Sort of Gray-scale Morphological Dilations and Erosions

Department of Mathematics, Suzhou University of Science and Technology

Received:2015-03-11 Online:2017-06-30 Published:2020-10-23
About author:GUO Yan-yan(1985-), female, native of Linyi, Shandong, a graduate of Suzhou University of Science and Technology, engages in mathematical morphology; GUO Qi(corresponding author)(1957-), male,native of Qingdao, Shandong, a professor of Suzhou University of Science and Technology, Ph.D., engages in functional analysis, convex geometrical analysis and mathematical morphology.
Supported by:
Supported by the National Natural Science Foundation of China(11671293,11271282)；

摘要/Abstract

摘要： We introduce first a sort of gray-scale morphological dilations and erosions, which might have some further applications in image analysis. Then we show that the dilation and the erosion defined here form adjunctive pairs. The duality between the dilation and the erosion and some other properties, such as the commuting property with translation and homothety, of these operators are discussed as well.

关键词: gray-scale dilation, gray-scale erosion, mathematical morphology, adjunction, duality

Abstract: We introduce first a sort of gray-scale morphological dilations and erosions, which might have some further applications in image analysis. Then we show that the dilation and the erosion defined here form adjunctive pairs. The duality between the dilation and the erosion and some other properties, such as the commuting property with translation and homothety, of these operators are discussed as well.

Key words: gray-scale dilation, gray-scale erosion, mathematical morphology, adjunction; duality

中图分类号:

O177

郭艳艳, 国起.

一类灰度形态学膨胀和腐蚀算子

[J]. 数学季刊, 2017, 32(2): 181-186.

GUO Yan-yan, GUO Qi. A Sort of Gray-scale Morphological Dilations and Erosions[J]. Chinese Quarterly Journal of Mathematics, 2017, 32(2): 181-186.

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一类灰度形态学膨胀和腐蚀算子

A Sort of Gray-scale Morphological Dilations and Erosions

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