Abstract
Surface interpolation plays an important role in many applications of science and engineering. Usually the collected data are obtained from any observations or experimentation. These raw data need to be visualized by using some mathematical techniques to produce smooth curves or surfaces that resembles the original data sets. In this chapter, a new surface interpolation based on rational bi-quartic spline is constructed. Partially blended rational bi-quartic spline is employed on all four rectangular curves network. There are 12 free parameters for shape modification and refinement. From numerical results, the proposed scheme is highly accurate since the root mean square error (RMSE) is small and the resulting interpolating surface is smooth compared with some existing schemes.
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Acknowledgements
This work is fully supported by Universiti Teknologi PETRONAS (UTP) and Ministry of Education, Malaysia through research grant FRGS/1/2018/STG06/UTP/03/1015MA0-020. Special thank you to UTP for providing MATLAB software for computer implementation.
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Karim, S.A.A., Izhar, L.I., Othman, M., Zainuddin, N. (2021). Surface Interpolation Using Partially Blended Rational Bi-Quartic Spline. In: Abdul Karim, S.A. (eds) Theoretical, Modelling and Numerical Simulations Toward Industry 4.0. Studies in Systems, Decision and Control, vol 319. Springer, Singapore. https://doi.org/10.1007/978-981-15-8987-4_4
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