Reconstruction of an ellipse from its raster image

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dc.contributor.authorHrdina, Jaroslavcs
dc.contributor.authorPavlĂ­k, Jancs
dc.coverage.issue2cs
dc.coverage.volume2015 (101)cs
dc.date.accessioned2020-08-04T11:03:11Z
dc.date.available2020-08-04T11:03:11Z
dc.date.issued2015-04-14cs
dc.description.abstractMotivated by practical application, we investigate the ways how to obtain a description of an ellipse whose circumscribed rectangle is known exactly and whose coordinates of touching points are known up to a certain inaccuracy. We show the sufficient condition for determination of such an ellipse, derive the implicit and parametric equations and show a proposal of the solution by the modification of the standard regression method.en
dc.description.abstractMotivovaný praktickými aplikacemi, zkoumáme způsoby, jak získat popis elipsy, jejíž ohraničený obdélník je známy, a jejíž souřadnice dotyku bodů jsou známy s určitou přesnosti. Formulujeme dostatečné podmínky pro stanovení takové elipsy, odvození implicitní a parametrické rovnice a ukazujeme návrh řešení modifikací standardního regrese.cs
dc.formattextcs
dc.format.extent141-155cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationInternational Journal of Pure and Applied Mathematics. 2015, vol. 2015 (101), issue 2, p. 141-155.en
dc.identifier.doi10.12732/ijpam.v101i2.3cs
dc.identifier.issn1311-8080cs
dc.identifier.other114117cs
dc.identifier.urihttp://hdl.handle.net/11012/38160
dc.language.isoencs
dc.publisherAcademic Publications, Ltdcs
dc.relation.ispartofInternational Journal of Pure and Applied Mathematicscs
dc.relation.urihttp://www.ijpam.eu/contents/2015-101-2/3/index.htmlcs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1311-8080/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectfitting ellipseen
dc.subjectequation of an ellipseen
dc.subjectregression methoden
dc.subjectparametric expressionen
dc.titleReconstruction of an ellipse from its raster imageen
dc.title.alternativeRekonstrukce elipsy z jejĂ­ho rastrucs
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-114117en
sync.item.dbtypeVAVen
sync.item.insts2020.08.04 13:03:11en
sync.item.modts2020.08.04 12:28:15en
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs
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