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Neighborhood Sequences in the Diamond Grid
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: Image analysis: from theory to applications, Research Publishing, Singapore, Chennai , 2008, 187-195 p.Chapter in book (Other (popular science, discussion, etc.))
Abstract [en]

In digital image processing digital distances are useful; distances based on neighborhood sequences are widely used.

In this paper the diamond grid is considered, that is the three-dimensional grid of Carbon atoms in the diamond crystal. An algorithm to compute a shortest path defined by a neighborhood sequence between any two points in the diamond grid is presented. A formula to compute the distance based on neighborhood sequences is given. A necessary and sufficient condition to have a metric distance function is proved.

Place, publisher, year, edition, pages
Research Publishing, Singapore, Chennai , 2008. 187-195 p.
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-17787ISBN: 978-981-08-0228-8 (print)OAI: oai:DiVA.org:uu-17787DiVA: diva2:45558
Available from: 2008-08-29 Created: 2008-08-29 Last updated: 2010-06-24Bibliographically approved

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http://www.researchpubonline.com/books/imageanalysis_cont.html

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Strand, Robin

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