Article ID Journal Published Year Pages File Type
421439 Discrete Applied Mathematics 2007 10 Pages PDF
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
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