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Simple Points on the Body-Centered Cubic 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.
2006 (English)Report (Other academic)
Abstract [en]

Conditions for grid points to be simple on the body-centered cubic (bcc) grid are presented and proved to be correct. For a skeletonization algorithm to be topology-preserving, the concept of simple points is important. We prove that deletion of simple points, according to our definition, on the bcc grid preserves topology. This characterization has been used in a previous paper describing a skeletonization algorithm on the face-centered cubic and the bcc grids. The characterization is also used to prove the correctness of conditions for removing grid points in parallel on the bcc grid.

Place, publisher, year, edition, pages
2006. , 10 p.
Series
Internrapport, Centrum för Bildanalys, 42
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-21846OAI: oai:DiVA.org:uu-21846DiVA: diva2:49619
Available from: 2007-01-04 Created: 2007-01-04 Last updated: 2010-05-25Bibliographically approved

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Strand, Robin

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CiteExportLink to record
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