Scattered Data Interpolation Using Rational Quartic Triangular Patches with Three Parameters
This paper discusses the construction of scattered data interpolation scheme based on rational quartic triangular patches with C1 continuity. The C1 sufficient condition is derived on each adjacent triangle. We employ rational corrected scheme comprising three local schemes defined on each triangle....
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Published: |
Institute of Electrical and Electronics Engineers Inc.
2020
|
| Online Access: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85082080277&doi=10.1109%2fACCESS.2020.2978173&partnerID=40&md5=c98d0768a185fb7f725143bb58587bd0 http://eprints.utp.edu.my/23226/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| id |
my.utp.eprints.23226 |
|---|---|
| record_format |
eprints |
| spelling |
my.utp.eprints.232262021-08-19T06:09:12Z Scattered Data Interpolation Using Rational Quartic Triangular Patches with Three Parameters Draman, N.N.C. Karim, S.A.A. Hashim, I. This paper discusses the construction of scattered data interpolation scheme based on rational quartic triangular patches with C1 continuity. The C1 sufficient condition is derived on each adjacent triangle. We employ rational corrected scheme comprising three local schemes defined on each triangle. The final scheme is then being applied for scattered data interpolation. In this study, we tested the proposed scheme on regular and irregular scattered data. For regular data, we used 36, 65 and 100 data sets, while for irregular data, we used some real data sets. Besides that, we compared the performance between the proposed scheme with cubic Ball and cubic Bézier schemes. We measure the error analysis by calculating the Root Mean Square Error (RMSE), maximum error (Max error), coefficient of determination (R²) and CPU time (in seconds). Based on the comparisons, our proposed scheme performs better than the other two existing schemes. Furthermore, for large scattered data sets, the proposed scheme requires less computation time than existing schemes. The free parameters in the description of the proposed scheme provide greater flexibility in controlling the quality of the final interpolating surface. This is very useful in the designing processes. © 2013 IEEE. Institute of Electrical and Electronics Engineers Inc. 2020 Article NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-85082080277&doi=10.1109%2fACCESS.2020.2978173&partnerID=40&md5=c98d0768a185fb7f725143bb58587bd0 Draman, N.N.C. and Karim, S.A.A. and Hashim, I. (2020) Scattered Data Interpolation Using Rational Quartic Triangular Patches with Three Parameters. IEEE Access, 8 . pp. 44239-44262. http://eprints.utp.edu.my/23226/ |
| institution |
Universiti Teknologi Petronas |
| building |
UTP Resource Centre |
| collection |
Institutional Repository |
| continent |
Asia |
| country |
Malaysia |
| content_provider |
Universiti Teknologi Petronas |
| content_source |
UTP Institutional Repository |
| url_provider |
http://eprints.utp.edu.my/ |
| description |
This paper discusses the construction of scattered data interpolation scheme based on rational quartic triangular patches with C1 continuity. The C1 sufficient condition is derived on each adjacent triangle. We employ rational corrected scheme comprising three local schemes defined on each triangle. The final scheme is then being applied for scattered data interpolation. In this study, we tested the proposed scheme on regular and irregular scattered data. For regular data, we used 36, 65 and 100 data sets, while for irregular data, we used some real data sets. Besides that, we compared the performance between the proposed scheme with cubic Ball and cubic Bézier schemes. We measure the error analysis by calculating the Root Mean Square Error (RMSE), maximum error (Max error), coefficient of determination (R²) and CPU time (in seconds). Based on the comparisons, our proposed scheme performs better than the other two existing schemes. Furthermore, for large scattered data sets, the proposed scheme requires less computation time than existing schemes. The free parameters in the description of the proposed scheme provide greater flexibility in controlling the quality of the final interpolating surface. This is very useful in the designing processes. © 2013 IEEE. |
| format |
Article |
| author |
Draman, N.N.C. Karim, S.A.A. Hashim, I. |
| spellingShingle |
Draman, N.N.C. Karim, S.A.A. Hashim, I. Scattered Data Interpolation Using Rational Quartic Triangular Patches with Three Parameters |
| author_facet |
Draman, N.N.C. Karim, S.A.A. Hashim, I. |
| author_sort |
Draman, N.N.C. |
| title |
Scattered Data Interpolation Using Rational Quartic Triangular Patches with Three Parameters |
| title_short |
Scattered Data Interpolation Using Rational Quartic Triangular Patches with Three Parameters |
| title_full |
Scattered Data Interpolation Using Rational Quartic Triangular Patches with Three Parameters |
| title_fullStr |
Scattered Data Interpolation Using Rational Quartic Triangular Patches with Three Parameters |
| title_full_unstemmed |
Scattered Data Interpolation Using Rational Quartic Triangular Patches with Three Parameters |
| title_sort |
scattered data interpolation using rational quartic triangular patches with three parameters |
| publisher |
Institute of Electrical and Electronics Engineers Inc. |
| publishDate |
2020 |
| url |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85082080277&doi=10.1109%2fACCESS.2020.2978173&partnerID=40&md5=c98d0768a185fb7f725143bb58587bd0 http://eprints.utp.edu.my/23226/ |
| _version_ |
1738656441997197312 |
| score |
13.211869 |