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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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Bibliographic Details
Main Authors: Siti Jasmida, Jamil, Abd. Rahni, Mt. Piah
Other Authors: jasmida@unimap.edu.my
Format: Working Paper
Language:English
Published: Universiti Malaysia Perlis (UniMAP) 2010
Subjects:
Scattered data
Triangulation
Local interpolation scheme
Positivity
Surface
Regional Conference on Applied and Engineering Mathematics (RCAEM)
Online Access:http://dspace.unimap.edu.my/xmlui/handle/123456789/10246
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spelling 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
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Scattered data
Triangulation
Local interpolation scheme
Positivity
Surface
Regional Conference on Applied and Engineering Mathematics (RCAEM)
spellingShingle 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
_version_ 1643789778939805696
score 13.222552

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