Scattered data interpolation using cubic trigonometric bézier triangular patch
This paper discusses scattered data interpolation using cubic trigonometric Bézier triangular patches with C1 continuity everywhere. We derive the C1 condition on each adjacent triangle. On each triangular patch, we employ convex combination method between three local schemes. The final interpolant...
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Tech Science Press
2021
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my.utp.eprints.295242022-03-25T02:08:24Z Scattered data interpolation using cubic trigonometric bézier triangular patch Hashim, I. Draman, N.N.C. Karim, S.A.A. Yeo, W.P. Baleanu, D. This paper discusses scattered data interpolation using cubic trigonometric Bézier triangular patches with C1 continuity everywhere. We derive the C1 condition on each adjacent triangle. On each triangular patch, we employ convex combination method between three local schemes. The final interpolant with the rational corrected scheme is suitable for regular and irregular scattered data sets. We tested the proposed scheme with 36,65, and 100 data points for some well-known test functions. The scheme is also applied to interpolate the data for the electric potential. We compared the performance between our proposed method and existing scattered data interpolation schemes such as Powell�Sabin (PS) and Clough�Tocher (CT) by measuring the maximum error, root mean square error (RMSE) and coefficient of determination (R2). From the results obtained, our proposed method is competent with cubic Bézier, cubic Ball, PS and CT triangles splitting schemes to interpolate scattered data surface. This is very significant since PS and CT requires that each triangle be splitting into several micro triangles. © 2021 Tech Science Press. All rights reserved. Tech Science Press 2021 Article NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-85107887009&doi=10.32604%2fcmc.2021.016006&partnerID=40&md5=f86bc4d0894d63e62064bd42fb3f0701 Hashim, I. and Draman, N.N.C. and Karim, S.A.A. and Yeo, W.P. and Baleanu, D. (2021) Scattered data interpolation using cubic trigonometric bézier triangular patch. Computers, Materials and Continua, 69 (1). pp. 221-236. http://eprints.utp.edu.my/29524/ |
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This paper discusses scattered data interpolation using cubic trigonometric Bézier triangular patches with C1 continuity everywhere. We derive the C1 condition on each adjacent triangle. On each triangular patch, we employ convex combination method between three local schemes. The final interpolant with the rational corrected scheme is suitable for regular and irregular scattered data sets. We tested the proposed scheme with 36,65, and 100 data points for some well-known test functions. The scheme is also applied to interpolate the data for the electric potential. We compared the performance between our proposed method and existing scattered data interpolation schemes such as Powell�Sabin (PS) and Clough�Tocher (CT) by measuring the maximum error, root mean square error (RMSE) and coefficient of determination (R2). From the results obtained, our proposed method is competent with cubic Bézier, cubic Ball, PS and CT triangles splitting schemes to interpolate scattered data surface. This is very significant since PS and CT requires that each triangle be splitting into several micro triangles. © 2021 Tech Science Press. All rights reserved. |
| format |
Article |
| author |
Hashim, I. Draman, N.N.C. Karim, S.A.A. Yeo, W.P. Baleanu, D. |
| spellingShingle |
Hashim, I. Draman, N.N.C. Karim, S.A.A. Yeo, W.P. Baleanu, D. Scattered data interpolation using cubic trigonometric bézier triangular patch |
| author_facet |
Hashim, I. Draman, N.N.C. Karim, S.A.A. Yeo, W.P. Baleanu, D. |
| author_sort |
Hashim, I. |
| title |
Scattered data interpolation using cubic trigonometric bézier triangular patch |
| title_short |
Scattered data interpolation using cubic trigonometric bézier triangular patch |
| title_full |
Scattered data interpolation using cubic trigonometric bézier triangular patch |
| title_fullStr |
Scattered data interpolation using cubic trigonometric bézier triangular patch |
| title_full_unstemmed |
Scattered data interpolation using cubic trigonometric bézier triangular patch |
| title_sort |
scattered data interpolation using cubic trigonometric bã©zier triangular patch |
| publisher |
Tech Science Press |
| publishDate |
2021 |
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https://www.scopus.com/inward/record.uri?eid=2-s2.0-85107887009&doi=10.32604%2fcmc.2021.016006&partnerID=40&md5=f86bc4d0894d63e62064bd42fb3f0701 http://eprints.utp.edu.my/29524/ |
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