Abstract
Laying down the foundation for the basic function of the barycentric rational interpolation, some rational interpolations over all kinds of triangle grids were constructed, and duality theorems and characterization theorems were given, some significative characters are obtained. Compared with the traditional rational interpolation based on continued fraction, the barycentric blending interpolation inherited the advantages of the simple expressions, has many advantages such as small calculation quantity, good numerical stability, no poles and unattainable points, etc. The barycentric blending interpolation can also be extended to both higher dimensions, vector-valued case and matrix-valued case.
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Acknowledgments
This work was supported by Science Foundation of Educational government of Anhui Province of China (KJ2011Z105)
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Li, Q., Xu, F. (2013). Construction of Barycentric Blending Rational Interpolation Over the Triangular Grids. In: Yin, Z., Pan, L., Fang, X. (eds) Proceedings of The Eighth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), 2013. Advances in Intelligent Systems and Computing, vol 212. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37502-6_73
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DOI: https://doi.org/10.1007/978-3-642-37502-6_73
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