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    Scattered Data Interpolation Using Cubic Trigonometric Bézier Triangular Patch

    Ishak Hashim1, Nur Nabilah Che Draman2, Samsul Ariffin Abdul Karim3,*, Wee Ping Yeo4, Dumitru Baleanu5,6,7

    CMC-Computers, Materials & Continua, Vol.69, No.1, pp. 221-236, 2021, DOI:10.32604/cmc.2021.016006

    Abstract This paper discusses scattered data interpolation using cubic trigonometric Bézier triangular patches with continuity everywhere. We derive the 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)… More >

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