Metrics on the face-centered cubic lattice

Alasdair McAndrew; Charles F. Osborne

doi:10.1117/12.142185

9 April 1993 Metrics on the face-centered cubic lattice

Alasdair McAndrew, Charles F. Osborne

Proceedings Volume 1832, Vision Geometry; (1993) https://doi.org/10.1117/12.142185
Event: Applications in Optical Science and Engineering, 1992, Boston, MA, United States

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.

Citation Download Citation

Alasdair McAndrew and Charles F. Osborne "Metrics on the face-centered cubic lattice", Proc. SPIE 1832, Vision Geometry, (9 April 1993); https://doi.org/10.1117/12.142185

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