Positivity-preserving scattered data interpolating surface using C1 piecewise cubic triangular patches

The construction of a bivariate C1 interpolant to scattered data is considered in which the interpolant is positive everywhere if the original data are positive. This study is motivated by earlier work in which sufficient conditions are derived on Bezier points in order to ensure that surfaces compr...

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Main Authors: Saaban, Azizan, Mt Piah, Abd Rahni, Abd Majid, Ahmad
Format: Conference or Workshop Item
Language:English
Published: 2006
Subjects:
Online Access:https://repo.uum.edu.my/id/eprint/4333/1/Sa_P.pdf
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author Saaban, Azizan
Mt Piah, Abd Rahni
Abd Majid, Ahmad
author_facet Saaban, Azizan
Mt Piah, Abd Rahni
Abd Majid, Ahmad
author_sort Saaban, Azizan
collection UUM
description The construction of a bivariate C1 interpolant to scattered data is considered in which the interpolant is positive everywhere if the original data are positive. This study is motivated by earlier work in which sufficient conditions are derived on Bezier points in order to ensure that surfaces comprising cubic Bezier triangular patches are always positive and satisfy C1 continuity conditions. Initial gradients at the data sites are estimated and then modified if necessary to ensure that these conditions are satisfied. The construction is local and easy to implement. Graphical examples are presented using two test functions
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spelling uum-43332017-01-04T04:41:27Z https://repo.uum.edu.my/id/eprint/4333/ Positivity-preserving scattered data interpolating surface using C1 piecewise cubic triangular patches Saaban, Azizan Mt Piah, Abd Rahni Abd Majid, Ahmad QA76 Computer software The construction of a bivariate C1 interpolant to scattered data is considered in which the interpolant is positive everywhere if the original data are positive. This study is motivated by earlier work in which sufficient conditions are derived on Bezier points in order to ensure that surfaces comprising cubic Bezier triangular patches are always positive and satisfy C1 continuity conditions. Initial gradients at the data sites are estimated and then modified if necessary to ensure that these conditions are satisfied. The construction is local and easy to implement. Graphical examples are presented using two test functions 2006-07 Conference or Workshop Item PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/4333/1/Sa_P.pdf Saaban, Azizan and Mt Piah, Abd Rahni and Abd Majid, Ahmad (2006) Positivity-preserving scattered data interpolating surface using C1 piecewise cubic triangular patches. In: International Conference on Computer Graphics, Imaging and Visualisation, 2006, 26-28 July 2006 , Sydney. http://dx.doi.org/10.1109/CGIV.2006.71 doi:10.1109/CGIV.2006.71 doi:10.1109/CGIV.2006.71
spellingShingle QA76 Computer software
Saaban, Azizan
Mt Piah, Abd Rahni
Abd Majid, Ahmad
Positivity-preserving scattered data interpolating surface using C1 piecewise cubic triangular patches
title Positivity-preserving scattered data interpolating surface using C1 piecewise cubic triangular patches
title_full Positivity-preserving scattered data interpolating surface using C1 piecewise cubic triangular patches
title_fullStr Positivity-preserving scattered data interpolating surface using C1 piecewise cubic triangular patches
title_full_unstemmed Positivity-preserving scattered data interpolating surface using C1 piecewise cubic triangular patches
title_short Positivity-preserving scattered data interpolating surface using C1 piecewise cubic triangular patches
title_sort positivity preserving scattered data interpolating surface using c1 piecewise cubic triangular patches
topic QA76 Computer software
url https://repo.uum.edu.my/id/eprint/4333/1/Sa_P.pdf
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AT mtpiahabdrahni positivitypreservingscattereddatainterpolatingsurfaceusingc1piecewisecubictriangularpatches
AT abdmajidahmad positivitypreservingscattereddatainterpolatingsurfaceusingc1piecewisecubictriangularpatches