ADR shape descriptor – Distance between shape centroids versus shape diameter

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dc.contributor.author Klette, Reinhard en
dc.contributor.author Žunić, Joviša en
dc.date.accessioned 2015-02-27T00:53:38Z en
dc.date.issued 2012-06 en
dc.identifier.citation Computer Vision and Image Understanding, 2012, 116 (6), pp. 690 - 697 en
dc.identifier.issn 1077-3142 en
dc.identifier.uri http://hdl.handle.net/2292/24694 en
dc.description.abstract In this paper we study the ADR shape descriptor ρ(S), where ADR is short for “asymmetries in the distribution of roughness”. This descriptor was defined in 1998 as the ratio of the squared distance between two different shape centroids (namely of area and frontier) to the squared shape diameter. After known for more than ten years, the behavior of ρ(S) was not well understood till today, thus hindering its application. Two very basic questions remained unanswered so far: –What is the range for ρ(S), if S is any bounded compact shape? –How do shapes look like having a large ρ(S) value? This paper answers both questions. We show that ρ(S) ranges over the interval [0, 1). We show that the established upper bound 1 is the best possible by constructing shapes whose ρ(S) values are arbitrary close to 1. In experiments we provide examples to indicate the kind of shapes that have relatively large ρ(S) values. en
dc.relation.ispartofseries Computer Vision and Image Understanding en
dc.rights Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. Details obtained from http://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy#accepted-author-manuscript http://www.sherpa.ac.uk/romeo/issn/1077-3142/ en
dc.rights.uri https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm en
dc.title ADR shape descriptor – Distance between shape centroids versus shape diameter en
dc.type Journal Article en
dc.identifier.doi 10.1016/j.cviu.2012.02.001 en
pubs.issue 6 en
pubs.begin-page 690 en
pubs.volume 116 en
dc.description.version AM - Accepted Manuscript en
pubs.end-page 697 en
dc.rights.accessrights http://purl.org/eprint/accessRights/OpenAccess en
pubs.subtype Article en
pubs.elements-id 340896 en
pubs.record-created-at-source-date 2015-02-27 en


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