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Supercover of Non-square and Non-cubic Grids
Uppsala University, Interfaculty Units, Centre for Image Analysis. Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology, Computerized Image Analysis.
Uppsala University, Interfaculty Units, Centre for Image Analysis. Teknisk-naturvetenskapliga vetenskapsområdet, Mathematics and Computer Science, Department of Information Technology, Computerized Image Analysis.
2004 (English)In: Proc. 10th International Workshop on Combinatorial Image Analysis (IWCIA 2004): Auckland, New Zealand, Dec. 2004, 2004, 88-97 p.Conference paper, Published paper (Refereed)
Abstract [en]

We define algebraic discrete geometry of hexagonal- and rhombic-dodecahedral- grids on a plane in a space, respectively. Since, a hexagon and a rhombic-dodecahedron are elements for tilling on a plane and in a space, respectively, a hexagon and a rhombic-dodecahedron are suitable as elements of discrete objects on a plane and in a space, respectively. For the description of linear objects in a discrete space, algebraic discrete geometry provides a unified treatment employing double Diophantus equations. In this paper, we introduce supercove for the hexagonal- and rhombic-dodecahedral- grid-systems on a plane and in a space, respectively.

Place, publisher, year, edition, pages
2004. 88-97 p.
National Category
Computer Vision and Robotics (Autonomous Systems)
Identifiers
URN: urn:nbn:se:uu:diva-67587ISBN: 3-540-23942-1 (print)OAI: oai:DiVA.org:uu-67587DiVA: diva2:95498
Available from: 2005-06-02 Created: 2005-06-02

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Strand, RobinBorgefors, Gunilla

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