A Sort of Gray-scale Morphological Dilations and Erosions

GUO Yan-yan, GUO Qi

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

Chinese Quarterly Journal of Mathematics >

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

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2017.02.008

A Sort of Gray-scale Morphological Dilations and Erosions

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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)；

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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

Cite this article

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

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