In this article we defined mathematical morphology image processing with set operations. First, we defined Minkowski set operations and proved their properties. Next, we defined basic image processing, dilation and erosion proving basic fact about them [5], [8].
@article{bwmeta1.element.doi-10_2478_v10037-012-0008-y,
author = {Hiroshi Yamazaki and Czes\l aw Byli\'nski and Katsumi Wasaki},
title = {Morphology for Image Processing. Part I},
journal = {Formalized Mathematics},
volume = {20},
year = {2012},
pages = {61-63},
zbl = {1276.94005},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-012-0008-y}
}
Hiroshi Yamazaki; Czesław Byliński; Katsumi Wasaki. Morphology for Image Processing. Part I. Formalized Mathematics, Tome 20 (2012) pp. 61-63. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-012-0008-y/
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