Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/12491
Title: | Consistent digital line segments | Authors: | Christ T. Pálvölgyi D. Stojaković, Miloš |
Issue Date: | 30-Jul-2010 | Journal: | Proceedings of the Annual Symposium on Computational Geometry | Abstract: | We introduce a novel and general approach for digitalization of line segments in the plane that satisfies a set of axioms naturally arising from Euclidean axioms. In particular, we show how to derive such a system of digital segments from any total order on the integers. As a consequence, using a well-chosen total order, we manage to define a system of digital segments such that all digital segments are, in Hausdorff metric, optimally close to their corresponding Euclidean segments, thus giving an explicit construction that resolves the main question of [1]. | URI: | https://open.uns.ac.rs/handle/123456789/12491 | ISBN: | 9781450300162 | DOI: | 10.1145/1810959.1810962 |
Appears in Collections: | PMF Publikacije/Publications |
Show full item record
SCOPUSTM
Citations
3
checked on Aug 12, 2023
Page view(s)
7
Last Week
7
7
Last month
0
0
checked on May 3, 2024
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.