Bicubic B-Spline And Thin Plate Spline On Surface Appoximation
In real life, the available data points which are either 2D or 3D are normally scattered and contaminated with noise. The noise is defined as the variation in a set of data points. To fit these data points, the approximation methods are considered as a suitable mean compared to the interpolation met...
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my-usm-ep.454022019-09-12T01:53:27Z Bicubic B-Spline And Thin Plate Spline On Surface Appoximation 2017-03 Liew, Khang Jie QA1-939 Mathematics In real life, the available data points which are either 2D or 3D are normally scattered and contaminated with noise. The noise is defined as the variation in a set of data points. To fit these data points, the approximation methods are considered as a suitable mean compared to the interpolation methods. It is important for the approximation methods to preserve the shape and features of the model in the presence of any noise. B-spline and thin plate spline approximation are being studied in this thesis. The effectiveness of the modified B-spline approximation algorithm is investigated in approximating the bicubic B-spline surface from the samples of scattered data points taken from the point set model. 2017-03 Thesis http://eprints.usm.my/45402/ http://eprints.usm.my/45402/1/LIEW%20KHANG%20JIE.pdf application/pdf en public phd doctoral Universiti Sains Malaysia Pusat Pengajian Sains Matematik |
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Universiti Sains Malaysia |
| collection |
USM Institutional Repository |
| language |
English |
| topic |
QA1-939 Mathematics |
| spellingShingle |
QA1-939 Mathematics Liew, Khang Jie Bicubic B-Spline And Thin Plate Spline On Surface Appoximation |
| description |
In real life, the available data points which are either 2D or 3D are normally scattered and contaminated with noise. The noise is defined as the variation in a set of data points. To fit these data points, the approximation methods are considered as a suitable mean compared to the interpolation methods. It is important for the approximation methods to preserve the shape and features of the model in the presence of any noise. B-spline and thin plate spline approximation are being studied in this thesis. The effectiveness of the modified B-spline approximation algorithm is investigated in approximating the bicubic B-spline surface from the samples of scattered data points taken from the point set model. |
| format |
Thesis |
| qualification_name |
Doctor of Philosophy (PhD.) |
| qualification_level |
Doctorate |
| author |
Liew, Khang Jie |
| author_facet |
Liew, Khang Jie |
| author_sort |
Liew, Khang Jie |
| title |
Bicubic B-Spline And Thin Plate Spline On Surface Appoximation |
| title_short |
Bicubic B-Spline And Thin Plate Spline On Surface Appoximation |
| title_full |
Bicubic B-Spline And Thin Plate Spline On Surface Appoximation |
| title_fullStr |
Bicubic B-Spline And Thin Plate Spline On Surface Appoximation |
| title_full_unstemmed |
Bicubic B-Spline And Thin Plate Spline On Surface Appoximation |
| title_sort |
bicubic b-spline and thin plate spline on surface appoximation |
| granting_institution |
Universiti Sains Malaysia |
| granting_department |
Pusat Pengajian Sains Matematik |
| publishDate |
2017 |
| url |
http://eprints.usm.my/45402/1/LIEW%20KHANG%20JIE.pdf |
| _version_ |
1747821503301287936 |