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dc.contributor.authorRosin, Paulen_US
dc.contributor.authorPantović, Jovankaen_US
dc.contributor.authorŽunić, Jovišaen_US
dc.date.accessioned2020-07-13T11:36:15Z-
dc.date.available2020-07-13T11:36:15Z-
dc.date.issued2016-01-01-
dc.identifier.issn0031-3203-
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/3805-
dc.description.abstractIn this paper we define a new linearity measure for open curve segments in 2D and 3D. The measure considers the distance of the curve end points to the curve centroid. It is simple to compute and has the basic properties that should be satisfied by any linearity measure. The new measure ranges over the interval (0,1], and produces the value 1 if and only if the measured curve is a perfect straight line segment. Also, the new linearity measure is invariant with respect to translations, rotations and scaling transformations. The new measure is theoretically well founded and, because of this, its behaviour can be well understood and predicted to some extent. This is always beneficial because it indicates the suitability of the new measure to the desired application. Several experiments are provided to illustrate the behaviour and to demonstrate the efficiency and applicability of the new linearity measure.en_US
dc.publisherElsevieren_US
dc.relationRepresentations of logical structures and formal languages and their application in computingen_US
dc.relationAdvanced Techniques of Cryptology, Image Processing and Computational Topology for Information Securityen_US
dc.relation.ispartofPattern Recognitionen_US
dc.subjectCurves | Image processing | Linearity measure | Shapeen_US
dc.titleMeasuring linearity of curves in 2D and 3Den_US
dc.typeArticleen_US
dc.identifier.doi10.1016/j.patcog.2015.07.011-
dc.identifier.scopus2-s2.0-84942823643-
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Artsen_US
dc.relation.grantno174026en_US
dc.relation.grantno174008en_US
dc.relation.firstpage65-
dc.relation.lastpage78-
dc.relation.volume49-
dc.description.rankM21a-
item.cerifentitytypePublications-
item.grantfulltextnone-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextNo Fulltext-
crisitem.author.orcid0000-0002-1271-4153-
crisitem.project.projectURLhttp://www.mi.sanu.ac.rs/novi_sajt/research/projects/174026e.php-
crisitem.project.projectURLhttp://www.mi.sanu.ac.rs/novi_sajt/research/projects/174008e.php-
crisitem.project.fundingProgramDirectorate for Social, Behavioral & Economic Sciences-
crisitem.project.fundingProgramDirectorate for Education & Human Resources-
crisitem.project.openAireinfo:eu-repo/grantAgreement/NSF/Directorate for Social, Behavioral & Economic Sciences/1740267-
crisitem.project.openAireinfo:eu-repo/grantAgreement/NSF/Directorate for Education & Human Resources/1740089-
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