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Alexandroff One Point Compactification

Czesław Byliński — 2007

Formalized Mathematics

In the article, I introduce the notions of the compactification of topological spaces and the Alexandroff one point compactification. Some properties of the locally compact spaces and one point compactification are proved.

Morphology for Image Processing. Part I

Hiroshi Yamazaki; Czesław Byliński; Katsumi Wasaki — 2012

Formalized Mathematics

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].

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