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The number of continuous curves in digital geometry
Stockholm University, Faculty of Science, Department of Mathematics. Matematik.
2008 (English)Report (Other academic)
Abstract [en]

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.
Series
Research Reports in Mathematics, ISSN 1401-5617 ; 2008/3
Keyword [en]
Digital geometry, Khalimsky topology, Khalimsky plane, Khalimsky-continuous function.
Identifiers
URN: urn:nbn:se:su:diva-16683OAI: oai:DiVA.org:su-16683DiVA: diva2:183203
Available from: 2008-12-23 Created: 2008-12-23 Last updated: 2010-12-03Bibliographically approved

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http://www2.math.su.se/reports/2008/3/

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