The number of continuous curves in digital geometry
2008 (English)Report (Other academic)
As a model for continuous curves in digital geometry, we study the Khalimsky-continuous functions defined on the integers and with values in the set of integers or the set of natural numbers. We determine the number of such functions on a given interval. It turns out that these numbers are related to the Delannoy and Schröder arrays, and a relation between these numbers is established.
Place, publisher, year, edition, pages
Stockholm: Department of Mathematics, Stockholm University , 2008. , 17 p.
, Research Reports in Mathematics, ISSN 1401-5617 ; 2008/3
Digital geometry, Khalimsky topology, Khalimsky plane, Khalimsky-continuous function.
IdentifiersURN: urn:nbn:se:su:diva-16683OAI: oai:DiVA.org:su-16683DiVA: diva2:183203