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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| Format: | Thesis |
| Language: | English |
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2017
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| Online Access: | http://eprints.usm.my/45370/1/CHUA%20HUA%20SIONG.pdf |
| _version_ | 1825835139659202560 |
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| author | Chua, Hua Siong |
| author_facet | Chua, Hua Siong |
| author_sort | Chua, Hua Siong |
| collection | USM |
| 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. |
| first_indexed | 2024-03-06T15:33:16Z |
| format | Thesis |
| id | usm.eprints-45370 |
| institution | Universiti Sains Malaysia |
| language | English |
| last_indexed | 2024-03-06T15:33:16Z |
| publishDate | 2017 |
| record_format | dspace |
| spelling | usm.eprints-453702019-09-10T07:33:48Z http://eprints.usm.my/45370/ C1 Positivity Constrained Interpolation By Weighted Rational Cubic Triangles 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 NonPeerReviewed application/pdf en http://eprints.usm.my/45370/1/CHUA%20HUA%20SIONG.pdf Chua, Hua Siong (2017) C1 Positivity Constrained Interpolation By Weighted Rational Cubic Triangles. Masters thesis, Universiti Sains Malaysia. |
| spellingShingle | QA1-939 Mathematics Chua, Hua Siong C1 Positivity Constrained Interpolation By Weighted Rational Cubic Triangles |
| title | 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_short | C1 Positivity Constrained Interpolation By Weighted Rational Cubic Triangles |
| title_sort | c1 positivity constrained interpolation by weighted rational cubic triangles |
| topic | QA1-939 Mathematics |
| url | http://eprints.usm.my/45370/1/CHUA%20HUA%20SIONG.pdf |
| work_keys_str_mv | AT chuahuasiong c1positivityconstrainedinterpolationbyweightedrationalcubictriangles |