Construction of Cubic Timmer Triangular Patches and its Application in Scattered Data Interpolation

• DOI: 10.3390/math8020159
• Publication Date: 2020-01-22T16:17:57Z
• Authors: Fatin Amani Mohd Ali; Samsul Ariffin Ab...; Azizan Saaban; Mohammad Khatim H...; Abdul Ghaffar; Kottakkaran Soopp...; Dumitru Baleanu
• Keywords: Interpolation; Cubic function; Quintic function; Monotone cubic interpolation; Square (algebra)

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 considering established dataset as well visualizing rainfall digital elevation in Malaysia. compare performance proposed some well-known Numerical graphical are presented Mathematica MATLAB. From all numerical results, is better terms of smaller root mean square error (RMSE) higher coefficient determination (R2). R2 value indicates can reconstruct surface with excellent fit line standard set Renka Brown’s validation.