dc.contributor.advisor | Stacey, Andrew Edgell | nb_NO |
dc.contributor.author | Botnan, Magnus Bakke | nb_NO |
dc.date.accessioned | 2014-12-19T13:59:38Z | |
dc.date.available | 2014-12-19T13:59:38Z | |
dc.date.created | 2011-10-17 | nb_NO |
dc.date.issued | 2011 | nb_NO |
dc.identifier | 448548 | nb_NO |
dc.identifier | ntnudaim:6319 | nb_NO |
dc.identifier.uri | http://hdl.handle.net/11250/258947 | |
dc.description.abstract | We 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.language | eng | nb_NO |
dc.publisher | Institutt for matematiske fag | nb_NO |
dc.subject | ntnudaim:6319 | no_NO |
dc.subject | MTFYMA fysikk og matematikk | no_NO |
dc.subject | Industriell matematikk | no_NO |
dc.title | Three Approaches in Computational Geometry and Topology: Persistent Homology, Discrete Differential Geometry and Discrete Morse Theory | nb_NO |
dc.type | Master thesis | nb_NO |
dc.source.pagenumber | 99 | nb_NO |
dc.contributor.department | Norges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi, matematikk og elektroteknikk, Institutt for matematiske fag | nb_NO |