Indexing the aperture 3 hexagonal discrete global grid

Authors:
A. Vince
Affiliations:
Department of Mathematics, Little Hall, P.O. Box 118105, University of Florida, Gainesville, FL 32611-8105, USA
Venue:
Journal of Visual Communication and Image Representation
Year:
2006

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Abstract

Over the past decade there has been interest in the computer representation of global data based on multi-resolution subdivisions of regular polyhedra. A simple and efficient indexing of the cells of such a subdivision, called A3-coordinates, is introduced. These can be used to encode the 4.3^n+2 cells at the nth level of resolution of the octahedral aperture 3 hexagonal discrete global grid using n+3 digits, each digit from the set {-1,0,1}.