dc.date.accessioned 2013-03-12T08:24:18Z dc.date.available 2013-03-12T08:24:18Z dc.date.issued 2011 en_US dc.date.submitted 2011-06-01 en_US dc.identifier.citation Neset, Håkon. Interpolatory surface subdivision. Masteroppgave, University of Oslo, 2011 en_US dc.identifier.uri http://hdl.handle.net/10852/10857 dc.description.abstract If we want to interpolate a set of data with a curve, we have several choices. We can use polynomial interpolation, spline interpolation or interpolatory subdivision. Polynomial interpolation gives high degrees for large numbers of data points, and hence large computational costs, and can give wiggles in the resulting interpolant. Spline interpolation is often better, but usually are global methods, or require us to specify derivatives. Interpolatory subdivision are local methods, and often better suited for numerical calculations. If we want to interpolate with a surface, we have almost the same methods, but some extra disadvantages for splines and subdivision. To interpolate a surface with splines or subdivision, we generally use a tensor product approach. If the data is nonuniformly spaced, these tensor product methods might give unexpected and unwanted wiggles in the interpolating surface. In this thesis we propose two new methods for surface interpolation based on interpolatory subdivision. Numerical results suggests that the new methods are smooth, and better behaved than the tensor product methods. eng dc.language.iso eng en_US dc.title Interpolatory surface subdivision en_US dc.type Master thesis en_US dc.date.updated 2012-03-11 en_US dc.creator.author Neset, Håkon en_US dc.subject.nsi VDP::413 en_US dc.identifier.bibliographiccitation info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft.au=Neset, Håkon&rft.title=Interpolatory surface subdivision&rft.inst=University of Oslo&rft.date=2011&rft.degree=Masteroppgave en_US dc.identifier.urn URN:NBN:no-29223 en_US dc.type.document Masteroppgave en_US dc.identifier.duo 127278 en_US dc.contributor.supervisor Michael Floater en_US dc.identifier.bibsys 120519348 en_US dc.identifier.fulltext Fulltext https://www.duo.uio.no/bitstream/handle/10852/10857/1/Haakon_Neset_thesis.pdf
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