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Proceedings Paper

Metrics on the face-centered cubic lattice
Author(s): Alasdair McAndrew; Charles F. Osborne
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Paper Abstract

The face-centered cubic lattice and its analogues in dimensions 4 and 5 are known to solve the sphere-packing problem in those dimensions. This property makes these lattices important for image processing in situations where high angular resolution is required, or if a good distance approximation is required. Given that the approximation to Euclidean distance is better for these lattices than for the standard Cartesian lattice, it is necessary to provide a distance measure for the lattices. We show how to construct two different metrics for the face-centered cubic lattice, and how this metric can be extended to higher dimensions.

Paper Details

Date Published: 9 April 1993
PDF: 12 pages
Proc. SPIE 1832, Vision Geometry, (9 April 1993); doi: 10.1117/12.142185
Show Author Affiliations
Alasdair McAndrew, Victoria Univ. of Technology (Australia)
Charles F. Osborne, Monash Univ. (Australia)


Published in SPIE Proceedings Vol. 1832:
Vision Geometry
Robert A. Melter; Angela Y. Wu, Editor(s)

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