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Distances based on neighbourhood sequences in non-standard three-dimensional grids
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Computerized Image Analysis. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Centre for Image Analysis.
2007 (English)In: Discrete Applied Mathematics, ISSN 0166-218X, E-ISSN 1872-6771, Vol. 155, no 4, 548-557 p.Article in journal (Refereed) Published
Abstract [en]

Properties for distances based on neighbourhood sequences on the face-centred cubic (fcc) and the body-centred cubic (bcc) grids are presented. Formulas to both compute the distances and assure that the distances satisfy the conditions for being metrics are presented and proved to be correct. The formulas are used to calculate the neighbourhood sequences that generates distances with lowest deviation from the Euclidean distance.

Place, publisher, year, edition, pages
2007. Vol. 155, no 4, 548-557 p.
Keyword [en]
Distance functions, 3D image processing, Non-standard grids, Distances based on neighbourhood sequences
National Category
Mathematics Computer and Information Sciences
Identifiers
URN: urn:nbn:se:uu:diva-22228DOI: 10.1016/j.dam.2006.09.005ISI: 000244827700010OAI: oai:DiVA.org:uu-22228DiVA: diva2:50001
Available from: 2007-01-12 Created: 2007-01-12 Last updated: 2018-01-12Bibliographically approved

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Publisher's full texthttp://dx.doi.org/10.1016/j.dam.2006.09.005

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Strand, Robin

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