Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/12669
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Christ T. | en |
dc.contributor.author | Pálvölgyi D. | en |
dc.contributor.author | Stojaković M. | en |
dc.date.accessioned | 2020-03-03T14:49:28Z | - |
dc.date.available | 2020-03-03T14:49:28Z | - |
dc.date.issued | 2011-12-01 | en |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/12669 | - |
dc.description.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 [J. Chun, M. Korman, M. Nöllenburg, and T. Tokuyama. Consistent digital rays. Discrete Comput. Geom., 42(3):359-378, 2009]. © 2011 Elsevier B.V. | en |
dc.relation.ispartof | Electronic Notes in Discrete Mathematics | en |
dc.title | Digitalizing line segments | en |
dc.type | Journal/Magazine Article | en |
dc.identifier.doi | 10.1016/j.endm.2011.09.045 | en |
dc.identifier.scopus | 2-s2.0-82955216190 | en |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/82955216190 | en |
dc.relation.lastpage | 278 | en |
dc.relation.firstpage | 273 | en |
dc.relation.volume | 38 | en |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
Appears in Collections: | Naučne i umetničke publikacije |
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