Radial basis function interpolation
| dc.contributor.advisor | Herbst, B. M. | |
| dc.contributor.advisor | Hunter, K. M. | |
| dc.contributor.author | Du Toit, Wilna | |
| dc.contributor.other | Stellenbosch University. Faculty of Science. Dept. of Mathematical Sciences. Applied Mathematics. | |
| dc.date.accessioned | 2008-05-07T07:18:33Z | en_ZA |
| dc.date.accessioned | 2010-06-01T08:38:34Z | |
| dc.date.available | 2008-05-07T07:18:33Z | en_ZA |
| dc.date.available | 2010-06-01T08:38:34Z | |
| dc.date.issued | 2008-03 | |
| dc.description | Thesis (MSc (Applied Mathematics))--Stellenbosch University, 2008. | |
| dc.description.abstract | 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. | en |
| dc.format.extent | 20239089 bytes | en_ZA |
| dc.format.mimetype | application/pdf | en_ZA |
| dc.identifier.uri | http://hdl.handle.net/10019.1/2002 | |
| dc.language.iso | en | |
| dc.publisher | Stellenbosch : Stellenbosch University | |
| dc.rights.holder | Stellenbosch University | |
| dc.subject | Radial basis function | en |
| dc.subject | RBF interpolation | en |
| dc.subject | Scattered data interpretation | en |
| dc.subject | 3D data interpolation | en |
| dc.subject | Dissertations -- Applied mathematics | en |
| dc.subject | Theses -- Applied mathematics | en |
| dc.title | Radial basis function interpolation | en |
| dc.type | Thesis |