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dc.contributor.authorHuxley, Martinen
dc.contributor.authorŽunić, Jovišaen
dc.date.accessioned2020-05-01T20:28:59Z-
dc.date.available2020-05-01T20:28:59Z-
dc.date.issued2006-01-01en
dc.identifier.issn1615-3375en
dc.description.abstractThe digitisation D(R, (a, b)) of a real disc D(R, (a,b)) having radius R and centre (a, b) consists of all integer points inside D(R, (a,b)) , i.e., D}(R, (a,b)) = D(R, (a, b)) ∩ Z2. In this paper we show that there are 4 π R2 + script O sign(R339/208 · R)18627/8320) different (up to translations) digitisations of discs having radius R. More formally, #{D(R,(a, b)) | a and b vary through [0,1)} = 4 π R2 + script O sign(R339/208). The result is of interest in the area of digital image processing because it describes how large the impact of the object position can be on its digitisation.en
dc.publisherSpringer Link-
dc.relation.ispartofFoundations of Computational Mathematicsen
dc.subjectDigital disc | Digitisation | Enumerationen
dc.titleDifferent digitisations of displaced discsen
dc.typeArticleen
dc.identifier.doi10.1007/s10208-005-0177-yen
dc.identifier.scopus2-s2.0-33744717862en
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Arts-
dc.relation.firstpage255en
dc.relation.lastpage268en
dc.relation.issue2en
dc.relation.volume6en
dc.description.rankM21a-
item.fulltextNo Fulltext-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.grantfulltextnone-
crisitem.author.orcid0000-0002-1271-4153-
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