The natural neighbor interpolation is a potential interpolation method for multidimensional data. However, only globally C1 interpolants have been known so far. This paper proposes a globally C2 interpolant, and write it in an explicit form. When the data are supplied to the interpolant from a third-degree polynomial, the interpolant can reproduce that polynomial exactly. The idea used to derive the interpolant is applicable to obtain a globally Ck interpolant for an arbitrary non-negative integer k. Hence, this paper gets rid of the continuity limitation of the natural neighbor interpolation, and thus leads it to a new research stage. © Springer-Verlag Berlin Heidelberg 2004.
CITATION STYLE
Hiyoshi, H., & Sugihara, K. (2004). Improving the global continuity of the natural neighbor interpolation. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 3045, 71–80. https://doi.org/10.1007/978-3-540-24767-8_8
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