Positivity preserving scattered data interpolation using quartic Ball triangular patches
1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang.
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Universiti Malaysia Perlis (UniMAP)
2010
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my.unimap-102462010-11-19T13:26:11Z Positivity preserving scattered data interpolation using quartic Ball triangular patches Siti Jasmida, Jamil Abd. Rahni, Mt. Piah jasmida@unimap.edu.my arahni@cs.usm.my Scattered data Triangulation Local interpolation scheme Positivity Surface Regional Conference on Applied and Engineering Mathematics (RCAEM) 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang. The construction of a C1 interpolant to scattered data is considered in which the interpolant is positive everywhere. A C1 positivity preserving interpolation scheme to scattered data using quartic Ball triangular patches is derived.. This work is motivated by an earlier work in which sufficient conditions are derived on Bézier points to ensure that surfaces comprising quartic Bézier triangular patches are always positive. In this paper, the corresponding simpler and more relaxed conditions are derived on the Ball points. The gradients at data sites are then calculated to ensure that these positivity conditions are satisfied. The scheme is local and it constructs C1 interpolating surface to scattered data by a convex combination with variable coefficient of quartic Ball triangular patches subject to constraint plane. The Ball ordinates are modified if necessary to ensure the positivity and C1 continuity of the triangular patches. 2010-11-19T13:26:11Z 2010-11-19T13:26:11Z 2010-06-02 Working Paper Vol.1(24), p.149 http://hdl.handle.net/123456789/10246 en Proceedings of the 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 Universiti Malaysia Perlis (UniMAP) Institut Matematik Kejuruteraan |
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English |
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Scattered data Triangulation Local interpolation scheme Positivity Surface Regional Conference on Applied and Engineering Mathematics (RCAEM) |
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Scattered data Triangulation Local interpolation scheme Positivity Surface Regional Conference on Applied and Engineering Mathematics (RCAEM) Siti Jasmida, Jamil Abd. Rahni, Mt. Piah Positivity preserving scattered data interpolation using quartic Ball triangular patches |
| description |
1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang. |
| author2 |
jasmida@unimap.edu.my |
| author_facet |
jasmida@unimap.edu.my Siti Jasmida, Jamil Abd. Rahni, Mt. Piah |
| format |
Working Paper |
| author |
Siti Jasmida, Jamil Abd. Rahni, Mt. Piah |
| author_sort |
Siti Jasmida, Jamil |
| title |
Positivity preserving scattered data interpolation using quartic Ball triangular patches |
| title_short |
Positivity preserving scattered data interpolation using quartic Ball triangular patches |
| title_full |
Positivity preserving scattered data interpolation using quartic Ball triangular patches |
| title_fullStr |
Positivity preserving scattered data interpolation using quartic Ball triangular patches |
| title_full_unstemmed |
Positivity preserving scattered data interpolation using quartic Ball triangular patches |
| title_sort |
positivity preserving scattered data interpolation using quartic ball triangular patches |
| publisher |
Universiti Malaysia Perlis (UniMAP) |
| publishDate |
2010 |
| url |
http://dspace.unimap.edu.my/xmlui/handle/123456789/10246 |
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1643789778939805696 |