Essential concepts of digital topology\\ (digital $k$-connectivity and $k$-adjacencis for digital products)
Sang-Eon Han

TL;DR
This paper reviews fundamental concepts in digital topology such as digital $k$-connectivity and adjacency, clarifies their origins, and discusses their application to digital products, correcting inaccuracies in prior literature.
Contribution
It provides a clear explanation of digital $k$-connectivity and adjacency, and addresses inaccuracies in previous references, enhancing understanding of digital topology concepts.
Findings
Clarification of digital $k$-connectivity and adjacency concepts
Correction of historical inaccuracies in prior literature
Enhanced understanding of digital topology fundamentals
Abstract
The paper refers to several concepts which are essential to studying digital objects from the viewpoint of digital topology: digital -connectivity or digital -adjacency, -compatible and normal -adjacency for a digital product. Since L. Boxer has often mentioned the origins of these concepts in an inaccurate way, we discuss something incorrectly cited or mentioned in Boxer's papers according to the facts.
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Taxonomy
TopicsDigital Image Processing Techniques · Interconnection Networks and Systems · Advanced Data Storage Technologies
