Reconstruction of an ellipse from its raster image

Simple item page
dc.contributor.authorHrdina, Jaroslavcs
dc.contributor.authorPavlĂ­k, Jancs
dc.coverage.issue2cs
dc.coverage.volume2015 (101)cs
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.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.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.orcid0000-0003-2460-7571cs
dc.identifier.orcid0000-0002-7509-2953cs
dc.identifier.other114117cs
dc.identifier.researcheridK-7147-2019cs
dc.identifier.scopus14044864000cs
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.subjectfitting ellipse
dc.subjectequation of an ellipse
dc.subjectregression method
dc.subjectparametric expression
dc.titleReconstruction of an ellipse from its raster imageen
dc.title.alternativeReconstruction of an ellipse from its raster imageen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-114117en
sync.item.dbtypeVAVen
sync.item.insts2025.10.14 15:07:01en
sync.item.modts2025.10.14 10:20:38en
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
3.pdf
Size:
180.73 KB
Format:
Adobe Portable Document Format
Description:
3.pdf
Download
Collections
Ăšstav matematiky