Robust Barycentric Coordinates Computation of the Closest Point to a Hyperplane in En

dc.contributor.authorSkala, Václav
dc.date.accessioned2014-12-11T09:53:32Z
dc.date.available2014-12-11T09:53:32Z
dc.date.issued2013
dc.description.abstractBarycentric coordinates are well known and used in many applications. They are used for a position computation inside of an (n+1)-sided simplex in an n-dimensional space, i.e. in a triangle in E2 or in a tetrahedron in E3. There are some cases when the given point is theoretically on the hyperplane, i.e. on a plane in E3, but due to numerical imprecision is actually not. Also in some cases we need to compute barycentric coordinates of an n-sided simplex in an n-dimensional space, like barycentric coordinates of a point inside or outside of a triangle in a general position in E3. In those cases different approaches are taken, mostly unreliable and not robust in general. In this paper reliable and robust computation of barycentric coordinates for n-sided simplex in En is described.en
dc.format6 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationRecent Advances in Applied Mathematics and Computational Methods in Engineering: Proceedings of the 2013 International Conference on Applied Mathematics and Computational Methods in Engineering (AMCME 2013), p. 239-244.cs
dc.identifier.isbn978-1-61804-200-2
dc.identifier.urihttp://hdl.handle.net/11025/11772
dc.language.isoenen
dc.publisherWSEAScs
dc.relation.ispartofseriesRecent Advances in Applied Mathematics and Computational Methods in Engineeringen
dc.rightsOriginal paper published under copyright licence: © 2013 WSEASen
dc.rights.accessopenAccessen
dc.subjectprojektivní geometriecs
dc.subjectpočítačová grafikacs
dc.subjectpočítačové viděnícs
dc.subjectlineární systém rovniccs
dc.subject.translatedprojective geometryen
dc.subject.translatedcomputer graphicsen
dc.subject.translatedcomputer visionen
dc.subject.translatedlinear system of equationsen
dc.titleRobust Barycentric Coordinates Computation of the Closest Point to a Hyperplane in Enen
dc.typekonferenční příspěvekcs
dc.typeconferenceObjecten
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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