Change search
ReferencesLink to record
Permanent link

Direct link
Three Approaches in Computational Geometry and Topology: Persistent Homology, Discrete Differential Geometry and Discrete Morse Theory
Norwegian University of Science and Technology, Faculty of Information Technology, Mathematics and Electrical Engineering, Department of Mathematical Sciences.
2011 (English)MasteroppgaveStudent thesis
Abstract [en]

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 surfaces is generalised to hypersurfaces of any dimension. The thesis concludes by discussing a discrete analogue of Morse theory.

Place, publisher, year, edition, pages
Institutt for matematiske fag , 2011. , 99 p.
Keyword [no]
ntnudaim:6319, MTFYMA fysikk og matematikk, Industriell matematikk
URN: urn:nbn:no:ntnu:diva-14201Local ID: ntnudaim:6319OAI: diva2:448548
Available from: 2011-10-17 Created: 2011-10-17

Open Access in DiVA

fulltext(5959 kB)583 downloads
File information
File name FULLTEXT01.pdfFile size 5959 kBChecksum SHA-512
Type fulltextMimetype application/pdf
cover(47 kB)36 downloads
File information
File name COVER01.pdfFile size 47 kBChecksum SHA-512
Type coverMimetype application/pdf

By organisation
Department of Mathematical Sciences

Search outside of DiVA

GoogleGoogle Scholar
Total: 583 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 138 hits
ReferencesLink to record
Permanent link

Direct link