A Sort of Gray-scale Morphological Dilations and Erosions

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

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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)；

Abstract

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

CLC Number:

O177

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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A Sort of Gray-scale Morphological Dilations and Erosions

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