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Radial basis function interpolation
Thesis (MSc (Applied Mathematics))--Stellenbosch University, 2008.
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Stellenbosch : Stellenbosch University
2008
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| _version_ | 1867613934331101184 |
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| access_status_str | Open Access |
| author | Du Toit, Wilna |
| author2 | Herbst, B. M. |
| author_browse | Du Toit, Wilna Herbst, B. M. |
| author_facet | Herbst, B. M. Du Toit, Wilna |
| author_sort | Du Toit, Wilna |
| collection | Thesis |
| dc_rights_str_mv | Stellenbosch University |
| description | Thesis (MSc (Applied Mathematics))--Stellenbosch University, 2008. |
| format | Thesis |
| id | oai:scholar.sun.ac.za:10019.1/2002 |
| institution | Stellenbosch University (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:44:02.133Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository |
| publishDate | 2008 |
| publishDateRange | 2008 |
| publishDateSort | 2008 |
| publisher | Stellenbosch : Stellenbosch University |
| publisherStr | Stellenbosch : Stellenbosch University |
| record_format | dspace |
| source_str | SUNScholar — Stellenbosch University Repository |
| spelling | oai:scholar.sun.ac.za:10019.1/2002 Radial basis function interpolation Du Toit, Wilna Herbst, B. M. Hunter, K. M. Stellenbosch University. Faculty of Science. Dept. of Mathematical Sciences. Applied Mathematics. Radial basis function RBF interpolation Scattered data interpretation 3D data interpolation Dissertations -- Applied mathematics Theses -- Applied mathematics Thesis (MSc (Applied Mathematics))--Stellenbosch University, 2008. A popular method for interpolating multidimensional scattered data is using radial basis functions. In this thesis we present the basic theory of radial basis function interpolation and also regard the solvability and stability of the method. Solving the interpolant directly has a high computational cost for large datasets, hence using numerical methods to approximate the interpolant is necessary. We consider some recent numerical algorithms. Software to implement radial basis function interpolation and to display the 3D interpolants obtained, is developed. We present results obtained from using our implementation for radial basis functions on GIS and 3D face data as well as an image warping application. 2008-05-07T07:18:33Z 2010-06-01T08:38:34Z 2008-05-07T07:18:33Z 2010-06-01T08:38:34Z 2008-03 Thesis http://hdl.handle.net/10019.1/2002 en Stellenbosch University 20239089 bytes application/pdf application/pdf Stellenbosch : Stellenbosch University |
| spellingShingle | Radial basis function RBF interpolation Scattered data interpretation 3D data interpolation Dissertations -- Applied mathematics Theses -- Applied mathematics Du Toit, Wilna Radial basis function interpolation |
| title | Radial basis function interpolation |
| title_full | Radial basis function interpolation |
| title_fullStr | Radial basis function interpolation |
| title_full_unstemmed | Radial basis function interpolation |
| title_short | Radial basis function interpolation |
| title_sort | radial basis function interpolation |
| topic | Radial basis function RBF interpolation Scattered data interpretation 3D data interpolation Dissertations -- Applied mathematics Theses -- Applied mathematics |
| url | http://hdl.handle.net/10019.1/2002 |
| work_keys_str_mv | AT dutoitwilna radialbasisfunctioninterpolation |