Parallel data access to regular nonorthogonal grid patterns. Part II

Reiner Creutzburg

doi:10.1117/12.621039

30 August 2005 Parallel data access to regular nonorthogonal grid patterns. Part II

Reiner Creutzburg

Proceedings Volume 5916, Mathematical Methods in Pattern and Image Analysis; 59160I (2005) https://doi.org/10.1117/12.621039
Event: Optics and Photonics 2005, 2005, San Diego, California, United States

Abstract

The aim of this paper that is organized in three 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 trigonal and hexagonal grids. In the 2-dimensional case these grids are generated by tesellation 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 trigonal 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 part.

Citation Download Citation

Reiner Creutzburg "Parallel data access to regular nonorthogonal grid patterns. Part II", Proc. SPIE 5916, Mathematical Methods in Pattern and Image Analysis, 59160I (30 August 2005); https://doi.org/10.1117/12.621039

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KEYWORDS

Computing systems

Raster graphics

Data modeling

Imaging systems

Cones

Electronic imaging

Retina

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