Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
421439 | Discrete Applied Mathematics | 2007 | 10 Pages |
Abstract
Properties for distances based on neighbourhood sequences on the face-centred cubic (fcc) and the body-centred cubic (bcc) grids are presented. Formulas to both compute the distances and assure that the distances satisfy the conditions for being metrics are presented and proved to be correct. The formulas are used to calculate the neighbourhood sequences that generates distances with lowest deviation from the Euclidean distance.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Robin Strand, Benedek Nagy,