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...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Pushpa Publishing House
2011
|
Subjects: | |
Online Access: | https://repo.uum.edu.my/id/eprint/12539/1/WP01.pdf |
_version_ | 1803626438152159232 |
---|---|
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. |
first_indexed | 2024-07-04T05:50:10Z |
format | Article |
id | uum-12539 |
institution | Universiti Utara Malaysia |
language | English |
last_indexed | 2024-07-04T05:50:10Z |
publishDate | 2011 |
publisher | Pushpa Publishing House |
record_format | dspace |
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 |
work_keys_str_mv | AT saabanazizan performanceofthetriangulationbasedmethodsofpositivitypreservingscattereddatainterpolation AT mtpiahabdrahni performanceofthetriangulationbasedmethodsofpositivitypreservingscattereddatainterpolation AT abdmajidahmad performanceofthetriangulationbasedmethodsofpositivitypreservingscattereddatainterpolation |