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
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
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