Digital straight lines in the Khalimsky plane

Authors

  • Erik Melin

DOI:

https://doi.org/10.7146/math.scand.a-14944

Abstract

We consider the digital plane of integer points equipped with the Khalimsky topology. We suggest a digitization of straight lines such that the digitized image is homeomorphic to the Khalimsky line and a digitized line segment is a Khalimsky arc. It is demonstrated that a Khalimsky arc is the digitization of a straight line segment if and only if it satisfies a generalized version of the chord property introduced by Rosenfeld.

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Published

2005-03-01

How to Cite

Melin, E. (2005). Digital straight lines in the Khalimsky plane. MATHEMATICA SCANDINAVICA, 96(1), 49–62. https://doi.org/10.7146/math.scand.a-14944

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Section

Articles