数学季刊 >

2017 , Vol. 32 >Issue 2: 181 - 186

DOI: https://doi.org/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

展开
  • Department of Mathematics, Suzhou University of Science and Technology
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.

收稿日期: 2015-03-11

  网络出版日期: 2020-10-23

基金资助

Supported by the National Natural Science Foundation of China(11671293,11271282)；

收起

A Sort of Gray-scale Morphological Dilations and Erosions

Expand
  • Department of Mathematics, Suzhou University of Science and Technology
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.

Received date: 2015-03-11

  Online published: 2020-10-23

Supported by

Supported by the National Natural Science Foundation of China(11671293,11271282)；

Fold

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

本文引用格式

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

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

Options
文章导航

/

〈 〉

版权所有 © 《数学季刊》编辑部
地址：河南省开封市明伦街85号河南大学数学季刊编辑部
电话：0371-23881698　E-mail: sxjk@henu.edu.cn　QQ: 2454327236
本系统由北京玛格泰克科技发展有限公司设计开发　技术支持：support@magtech.com.cn