Vis enkel innførsel

dc.contributor.advisorStacey, Andrew Edgellnb_NO
dc.contributor.authorBotnan, Magnus Bakkenb_NO
dc.date.accessioned2014-12-19T13:59:38Z
dc.date.available2014-12-19T13:59:38Z
dc.date.created2011-10-17nb_NO
dc.date.issued2011nb_NO
dc.identifier448548nb_NO
dc.identifierntnudaim:6319nb_NO
dc.identifier.urihttp://hdl.handle.net/11250/258947
dc.description.abstractWe study persistent homology, methods in discrete differential geometry and discrete Morse theory. Persistent homology is applied to computational biology and range image analysis. Theory from differential geometry is used to define curvature estimates of triangulated hypersurfaces. In particular, a well-known method for triangulated surfacesis generalised to hypersurfaces of any dimension. The thesis concludesby discussing a discrete analogue of Morse theory.nb_NO
dc.languageengnb_NO
dc.publisherInstitutt for matematiske fagnb_NO
dc.subjectntnudaim:6319no_NO
dc.subjectMTFYMA fysikk og matematikkno_NO
dc.subjectIndustriell matematikkno_NO
dc.titleThree Approaches in Computational Geometry and Topology: Persistent Homology, Discrete Differential Geometry and Discrete Morse Theorynb_NO
dc.typeMaster thesisnb_NO
dc.source.pagenumber99nb_NO
dc.contributor.departmentNorges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi, matematikk og elektroteknikk, Institutt for matematiske fagnb_NO


Tilhørende fil(er)

Thumbnail
Thumbnail

Denne innførselen finnes i følgende samling(er)

Vis enkel innførsel