Performance of the triangulation-based methods Of positivity-preserving scattered data interpolation

We present the result and accuracy comparison of generalized positivity-preserving schemes for triangular Bézier patches of 1C and 2C scattered data interpolants that have been c on structed. We compare three methods of 1C schemes using cubic triangular Bézier patches and one 2C scheme using quint...

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Main Authors: Saaban, Azizan, Mt Piah, Abd Rahni, Abd Majid, Ahmad
Format: Article
Language:English
Published: Pushpa Publishing House 2011
Subjects:
Online Access:https://repo.uum.edu.my/id/eprint/12539/1/WP01.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 We present the result and accuracy comparison of generalized positivity-preserving schemes for triangular Bézier patches of 1C and 2C scattered data interpolants that have been c on structed. We compare three methods of 1C schemes using cubic triangular Bézier patches and one 2C scheme using quintic triangular Bézier patches.Our test case consists of four sets of node/test function pairs, with node-count ranging from 26 to 100 data points. The absolute maximum and mean errors are computed using 33×33 evaluation points on a uniform rectangular grid.
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spelling uum-125392014-11-05T00:40:10Z https://repo.uum.edu.my/id/eprint/12539/ Performance of the triangulation-based methods Of positivity-preserving scattered data interpolation Saaban, Azizan Mt Piah, Abd Rahni Abd Majid, Ahmad QA Mathematics We present the result and accuracy comparison of generalized positivity-preserving schemes for triangular Bézier patches of 1C and 2C scattered data interpolants that have been c on structed. We compare three methods of 1C schemes using cubic triangular Bézier patches and one 2C scheme using quintic triangular Bézier patches.Our test case consists of four sets of node/test function pairs, with node-count ranging from 26 to 100 data points. The absolute maximum and mean errors are computed using 33×33 evaluation points on a uniform rectangular grid. Pushpa Publishing House 2011 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/12539/1/WP01.pdf Saaban, Azizan and Mt Piah, Abd Rahni and Abd Majid, Ahmad (2011) Performance of the triangulation-based methods Of positivity-preserving scattered data interpolation. Far East Journal of Mathematical Sciences (FJMS), 57 (1). pp. 1-11. ISSN 0972-0871 http://www.pphmj.com/journals/fjms.htm
spellingShingle QA Mathematics
Saaban, Azizan
Mt Piah, Abd Rahni
Abd Majid, Ahmad
Performance of the triangulation-based methods Of positivity-preserving scattered data interpolation
title Performance of the triangulation-based methods Of positivity-preserving scattered data interpolation
title_full Performance of the triangulation-based methods Of positivity-preserving scattered data interpolation
title_fullStr Performance of the triangulation-based methods Of positivity-preserving scattered data interpolation
title_full_unstemmed Performance of the triangulation-based methods Of positivity-preserving scattered data interpolation
title_short Performance of the triangulation-based methods Of positivity-preserving scattered data interpolation
title_sort performance of the triangulation based methods of positivity preserving scattered data interpolation
topic QA Mathematics
url https://repo.uum.edu.my/id/eprint/12539/1/WP01.pdf
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AT mtpiahabdrahni performanceofthetriangulationbasedmethodsofpositivitypreservingscattereddatainterpolation
AT abdmajidahmad performanceofthetriangulationbasedmethodsofpositivitypreservingscattereddatainterpolation