22 May 2002 Parallel data access to regular nonorthogonal grid patterns: I. Fundamental notions
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Abstract
The aim of this paper that is organized in two parts is to introduce the concept of parallel access of data in regular but not orthogonal grids. Although the orthogonal grid and the corresponding sampling methods are well-known for many years and well established in science and technology, there is a certain interest in 2- and 3-dimensional imaging to study triagonal and hexagonal grids. In the 2-dimensional case these grids are generated by tessellation of the plane using triangles and hexagons, respectively. They form very regular patterns and they have very nice properties according to the number of neighborhood pixels and distance values in electronic imaging. Moreover, it is known for a long time that the retina part of the human visual system can be modeled by a hexagonal packing structure of rods and cones. In this paper we study the connection and the influence of the necessary data structures, access patterns, and system architecture to model imaging algorithms with triagonal and hexagonal grids. In particular, we study the parallel access to straight lines and hexagonal 'circles.' We show a possible parallel memory architecture for the parallel conflict-free access to rows, straight lines and hexagonal 'circles.' The necessary fundamental notions are given in this first part.
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Reiner Creutzburg, "Parallel data access to regular nonorthogonal grid patterns: I. Fundamental notions", Proc. SPIE 4667, Image Processing: Algorithms and Systems, (22 May 2002); doi: 10.1117/12.467994; https://doi.org/10.1117/12.467994
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