Voronoizellen diskreter Punktmengen

Voigt, Ina Kirsten

Full metadata record

DC Field	Value	Language
dc.contributor.advisor	Scharlau, R.	-
dc.contributor.author	Voigt, Ina Kirsten	-
dc.date.accessioned	2008-11-20T09:58:06Z	-
dc.date.available	2008-11-20T09:58:06Z	-
dc.date.issued	2008-11-20T09:58:06Z	-
dc.identifier.uri	http://hdl.handle.net/2003/25846	-
dc.identifier.uri	http://dx.doi.org/10.17877/DE290R-5050	-
dc.description.abstract	In dieser Arbeit wird eine Charakterisierung derjenigen diskreten Punktmengen angegeben, für die gilt, dass alle Voronoizellen Polyeder (bzw. Polytope) sind. Dazu wird der Begriff einer lokal endlich erzeugten diskreten Punktmenge eingeführt. Desweiteren wird der Rand der konvexen Hülle einer diskreten Punktmenge näher untersucht und geometrisch beschrieben.	de
dc.description.abstract	This thesis gives a characterization of those discrete point sets which exhibit the property that all its Voronoi cells are polyhedra (resp. polytopes). To do this we introduce the term of locally finitely generated discrete point sets. Furthermore we investigate the boundary of the convex hull of a discrete point set and give a geometrical description.	en
dc.language.iso	de	de
dc.subject	Vornoizellen	de
dc.subject	Lokal endlich erzeugte Punktmenge	de
dc.subject	Richtungskegel	de
dc.subject	Konvexe Hülle	de
dc.subject	Polyeder	de
dc.subject	Voronoi cell	de
dc.subject	Locally finitely generated discrete point set	de
dc.subject	Direction cone	de
dc.subject	Convex hull	de
dc.subject	Polyhedron	de
dc.subject.ddc	510	-
dc.title	Voronoizellen diskreter Punktmengen	de
dc.type	Text	de
dc.contributor.referee	Lutz, F.	-
dc.date.accepted	2008-08-25	-
dc.type.publicationtype	doctoralThesis	de
dc.identifier.urn	urn:nbn:de:hbz:290-2003/25846-2	-
dcterms.accessRights	open access	-
Appears in Collections:	Lehrstuhl II: Geometrie

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