C1 Positivity Constrained Interpolation By Weighted Rational Cubic Triangles
The construction of positivity bivariate 1 C interpolants to scattered data using rational cubic Bézier triangular patches is considered. The interpolating surface is formed piecewise as a convex combination of three rational cubic Bézier triangles. Sufficient 1 C continuity conditions along the com...
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2017
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my-usm-ep.453702019-09-10T07:33:48Z C1 Positivity Constrained Interpolation By Weighted Rational Cubic Triangles 2017-02 Chua, Hua Siong QA1-939 Mathematics The construction of positivity bivariate 1 C interpolants to scattered data using rational cubic Bézier triangular patches is considered. The interpolating surface is formed piecewise as a convex combination of three rational cubic Bézier triangles. Sufficient 1 C continuity conditions along the common boundary of two adjacent rational cubic Bézier triangles are shown. The sufficient positivity conditions on rational cubic Bézier triangle are derived. The initial values of the Bézier ordinates are determined by the data and the estimated gradient at the data sites while the weights are given the value one. 2017-02 Thesis http://eprints.usm.my/45370/ http://eprints.usm.my/45370/1/CHUA%20HUA%20SIONG.pdf application/pdf en public masters 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 Chua, Hua Siong C1 Positivity Constrained Interpolation By Weighted Rational Cubic Triangles |
| description |
The construction of positivity bivariate 1 C interpolants to scattered data using rational cubic Bézier triangular patches is considered. The interpolating surface is formed piecewise as a convex combination of three rational cubic Bézier triangles. Sufficient 1 C continuity conditions along the common boundary of two adjacent rational cubic Bézier triangles are shown. The sufficient positivity conditions on rational cubic Bézier triangle are derived. The initial values of the Bézier ordinates are determined by the data and the estimated gradient at the data sites while the weights are given the value one. |
| format |
Thesis |
| qualification_level |
Master's degree |
| author |
Chua, Hua Siong |
| author_facet |
Chua, Hua Siong |
| author_sort |
Chua, Hua Siong |
| title |
C1 Positivity Constrained Interpolation By Weighted Rational Cubic Triangles |
| title_short |
C1 Positivity Constrained Interpolation By Weighted Rational Cubic Triangles |
| title_full |
C1 Positivity Constrained Interpolation By Weighted Rational Cubic Triangles |
| title_fullStr |
C1 Positivity Constrained Interpolation By Weighted Rational Cubic Triangles |
| title_full_unstemmed |
C1 Positivity Constrained Interpolation By Weighted Rational Cubic Triangles |
| title_sort |
c1 positivity constrained interpolation by weighted rational cubic triangles |
| granting_institution |
Universiti Sains Malaysia |
| granting_department |
Pusat Pengajian Sains Matematik |
| publishDate |
2017 |
| url |
http://eprints.usm.my/45370/1/CHUA%20HUA%20SIONG.pdf |
| _version_ |
1747821496226545664 |