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Weighted Neighbourhood Sequences in Non-Standard Three-Dimensional Grids: Metricity and Algorithms
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Centre for Image Analysis. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computerized Image Analysis.
2008 (English)In: In Proceedings International Conference on Discrete Geometry for Computer Imagery (DGCI 2008), Lyon, France, 2008, 2008, 201-212 p.Conference paper, Published paper (Refereed)
Abstract [en]

Recently, a distance function was defined on the face- centered cubic and body-centered cubic grids by combining weights and neighbourhood sequences. These distances share many properties with traditional path-based distance functions, such as the city-block distance, but are less rotational dependent. We present conditions for metricity and algorithms to compute the distances.

Place, publisher, year, edition, pages
2008. 201-212 p.
Series
Lecture notes in computer science, ISSN 0302-9743 ; 4992
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-17788DOI: 10.1007/978-3-540-79126-3ISBN: 978-3-540-79125-6 (print)OAI: oai:DiVA.org:uu-17788DiVA: diva2:45559
Available from: 2008-08-29 Created: 2008-08-29 Last updated: 2010-08-13Bibliographically approved

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Publisher's full texthttp://dx.doi.org/10.1007/978-3-540-79126-3

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Strand, Robin

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