Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/5752
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Žunić J. | en |
dc.date.accessioned | 2019-09-30T08:50:13Z | - |
dc.date.available | 2019-09-30T08:50:13Z | - |
dc.date.issued | 1999-01-01 | en |
dc.identifier.isbn | 3540656855 | en |
dc.identifier.issn | 3029743 | en |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/5752 | - |
dc.description.abstract | © Springer-Verlag Berlin Heidelberg 1999. The 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.relation.ispartof | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) | en |
dc.title | The discrete moments of the circles | en |
dc.type | Conference Paper | en |
dc.identifier.doi | 10.1007/3-540-49126-0_4 | en |
dc.identifier.scopus | 2-s2.0-84958772760 | en |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/84958772760 | en |
dc.relation.lastpage | 49 | en |
dc.relation.firstpage | 41 | en |
dc.relation.volume | 1568 | en |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
Appears in Collections: | PMF Publikacije/Publications |
SCOPUSTM
Citations
1
checked on Sep 14, 2022
Page view(s)
12
Last Week
8
8
Last month
0
0
checked on May 10, 2024
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.