Construction of cubic timmer triangular patches and its application in scattered data interpolation

Ali, F.A.M. and Karim, S.A.A. and Saaban, A. and Hasan, M.K. and Ghaffar, A. and Nisar, K.S. and Baleanu, D. (2020) Construction of cubic timmer triangular patches and its application in scattered data interpolation. Mathematics, 8 (2). ISSN 22277390

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Abstract

This paper discusses scattered data interpolation by using cubic Timmer triangular patches. In order to achieve C1 continuity everywhere, we impose a rational corrected scheme that results from convex combination between three local schemes. The final interpolant has the form quintic numerator and quadratic denominator. We test the scheme by considering the established dataset as well as visualizing the rainfall data and digital elevation in Malaysia. We compare the performance between the proposed scheme and some well-known schemes. Numerical and graphical results are presented by using Mathematica and MATLAB. From all numerical results, the proposed scheme is better in terms of smaller root mean square error (RMSE) and higher coefficient of determination (R2). The higher R2 value indicates that the proposed scheme can reconstruct the surface with excellent fit that is in line with the standard set by Renka and Brown's validation. © 2020 by the authors.

Item Type: Article
Additional Information: cited By 20
Depositing User: Mr Ahmad Suhairi UTP
Date Deposited: 10 Nov 2023 03:28
Last Modified: 10 Nov 2023 03:28
URI: https://khub.utp.edu.my/scholars/id/eprint/13493

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