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Neighborhood Sequences in the Diamond Grid - Algorithms with Four Neighbors
Faculty of Informatics, University of Debrecen, Debrecen, Hungary.
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.
2009 (English)In: Proceedings, theoretical track, International Workshop on Combinatorial Image Analysis (IWCIA 2009), Mexico, Berlin / Heidelberg: Springer , 2009, 109-121 p.Conference paper, Published paper (Refereed)
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. This grid can be described by four coordinate values using axes of the directions of atomic bonds. In this way the sum of the coordinate values can be either zero or one. An algorithm to compute a shortest path defined by a neighborhood sequence between any two points in the diamond grid is presented. The metric and non-metric properties of some distances based on neighborhood sequences are also discussed. The constrained distance transformation and digital balls obtained by some distance functions are presented.

Place, publisher, year, edition, pages
Berlin / Heidelberg: Springer , 2009. 109-121 p.
Series
Lecture Notes in Computer Science, ISSN 1611-3349 ; 5852
National Category
Computer Vision and Robotics (Autonomous Systems) Computational Mathematics
Research subject
Computerized Image Analysis
Identifiers
URN: urn:nbn:se:uu:diva-109534ISBN: 978-3-540-89645-6 (print)OAI: oai:DiVA.org:uu-109534DiVA: diva2:272755
Available from: 2009-10-16 Created: 2009-10-16 Last updated: 2010-03-01Bibliographically approved

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Strand, Robin

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