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dc.contributor.authorŽunić, Jovišaen
dc.date.accessioned2020-05-01T20:29:02Z-
dc.date.available2020-05-01T20:29:02Z-
dc.date.issued1999-01-01en
dc.identifier.isbn978-3-540-65685-5en
dc.identifier.issn0302-9743en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/1962-
dc.description.abstractThe moment of (p,q)-order, mp,q(C), of a circle C given by (x-a)2 + (y-b)2 ≤ r2, is defined to be (Formula Presented). It is naturally to c assume that the discrete moments dmp,q(C), defined as (Formula Presented) can be a good approximation for mp,q(C). This paper gives an answer what is the order of magnitude for the difference between a real moment mp,q(C) and its approximation dmp,q(C), calculated from the corresponding digital picture. Namely, we estimate (Formula Presented) in function of the size of the considered circle C and its center position if p and q are assumed to be integers. These differences are upper bounded with (Formula Presented), where e is an arbitrary small positive number. The established upper bound can be understood as very sharp. The result has a practical importance, especially in the area of image processing and pattern recognition, because it shows what the picture resolution should be used in order to obtain a required precision in the parameter estimation from the digital data taken from the corresponded binary picture.en
dc.publisherSpringer Link-
dc.relation.ispartofLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)en
dc.subjectDigital geometry | Discrete shapes | Parameter estimationen
dc.titleThe discrete moments of the circlesen
dc.typeArticleen
dc.relation.conference8th International Conference on Discrete Geometry for Computer Imagery, DGCI 1999; Marne-la-Vallee; France; 17 March 1999 through 19 March 1999-
dc.identifier.doi10.1007/3-540-49126-0_4en
dc.identifier.scopus2-s2.0-84958772760en
dc.relation.firstpage41en
dc.relation.lastpage49en
dc.relation.volume1568en
dc.description.rankM21-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypeArticle-
item.cerifentitytypePublications-
item.grantfulltextnone-
item.fulltextNo Fulltext-
crisitem.author.orcid0000-0002-1271-4153-
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