DC FieldValueLanguage
dc.contributor.authorŽunić, Jovišaen_US
dc.contributor.authorŽunić, Dragišaen_US
dc.date.accessioned2020-07-13T10:16:14Z-
dc.date.available2020-07-13T10:16:14Z-
dc.date.issued2016-09-01-
dc.identifier.issn0924-9907-
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/3796-
dc.description.abstractThis paper deals with the following problem: What can be said about the shape of an object if a certain invariant of it is known? Such a, herein called, shape invariant interpretation problem has not been studied/solved for the most of invariants, but also it is not known to which extent the shape interpretation of certain invariants does exist. In this paper, we consider a well-known second-order affine moment invariant. This invariant has been expressed recently Xu and Li (2008) as the average square area of triangles whose one vertex is the shape centroid while the remaining two vertices vary through the shape considered. The main results of the paper are (i) the ellipses are shapes which minimize such an average square triangle area, i.e., which minimize the affine invariant considered; (ii) this minimum is 1 / (16 π2) and is reached by the ellipses only. As by-products, we obtain several results including the expression of the second Hu moment invariant in terms of one shape compactness measure and one shape ellipticity measure. This expression further leads to the shape interpretation of the second Hu moment invariant, which is also given in the paper.en_US
dc.publisherSpringer Linken_US
dc.relationAdvanced Techniques of Cryptology, Image Processing and Computational Topology for Information Securityen_US
dc.relationRepresentations of logical structures and formal languages and their application in computingen_US
dc.relation.ispartofJournal of Mathematical Imaging and Visionen_US
dc.subjectImage processing | Moment invariants | Moments | Pattern recognition | Shapeen_US
dc.titleShape Interpretation of Second-Order Moment Invariantsen_US
dc.typeArticleen_US
dc.identifier.doi10.1007/s10851-016-0638-8-
dc.identifier.scopus2-s2.0-84960368216-
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Artsen_US
dc.relation.grantno174008en_US
dc.relation.grantno174026en_US
dc.relation.firstpage125-
dc.relation.lastpage136-
dc.relation.issue1-
dc.relation.volume56-
dc.description.rankM21a-
item.cerifentitytypePublications-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypeArticle-
item.grantfulltextnone-
item.fulltextNo Fulltext-
crisitem.project.projectURLhttp://www.mi.sanu.ac.rs/novi_sajt/research/projects/174008e.php-
crisitem.project.projectURLhttp://www.mi.sanu.ac.rs/novi_sajt/research/projects/174026e.php-
crisitem.project.fundingProgramDirectorate for Education & Human Resources-
crisitem.project.fundingProgramDirectorate for Social, Behavioral & Economic Sciences-
crisitem.project.openAireinfo:eu-repo/grantAgreement/NSF/Directorate for Education & Human Resources/1740089-
crisitem.project.openAireinfo:eu-repo/grantAgreement/NSF/Directorate for Social, Behavioral & Economic Sciences/1740267-
crisitem.author.orcid0000-0002-1271-4153-
Show simple item record

SCOPUSTM   
Citations

7
checked on May 23, 2024

Page view(s)

88
checked on May 9, 2024

Google ScholarTM

Check

Altmetric

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.