Abstract

In this study, we perform a comparative evaluation and assessment for the scattered data interpolation using a quartic polynomial triangular patch with ten control points on a triangular domain. The comparison is made using two different convex combinations and inner ordinates methods, i.e., cross derivative and cubic precision. Statistical Goodness-fit measurements used are maximum error, coefficient of determination ($R^2$), CPU time (in seconds), and contour plot. From the result, the cubic precision method with linear convex combination methods gave better results with smaller CPU times and higher $R^2$ value. All numerical and graphical results are presented using MATLAB programming on the Laptop GPU.

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