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Abstract

Properties for distances based on neighbourhood sequences on the face-centred cubic (fcc) and the body-centred cubic (bee) 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. (c) 2006 Elsevier B.V. All rights reserved.

Keywords

distance functions; 3D image processing; non-standard grids; distances based on neighbourhood sequences

Published in

Discrete Applied Mathematics
2007, volume: 155, number: 4, pages: 548-557
Publisher: Elsevier

SLU Authors

  • Strand, Robin

    • Centre for Image Analysis, Swedish University of Agricultural Sciences

UKÄ Subject classification

Computer graphics and computer vision

Publication identifier

  • DOI: https://doi.org/10.1016/j.dam.2006.09.005

Permanent link to this page (URI)

https://res.slu.se/id/publ/17138