The number of Khalimsky-continuous functions between two points
(English)Manuscript (preprint) (Other academic)
We shall investigate the number of digital straight line segments between two points. For a fixed length, we conjecture that the maximum for these values is attained at height 2, and the minimum at height which is equal to the half of length. We shall prove that a local maximum is attained at height 2 and that this is true for all heights in an asymptotic sense. For the latter, we transform digital straight line segments to chords of the unit circle.
Digital geometry, digital straight line segments
IdentifiersURN: urn:nbn:se:su:diva-47767OAI: oai:DiVA.org:su-47767DiVA: diva2:374166