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Construction of Barycentric Blending Rational Interpolation Over the Triangular Grids

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Proceedings of The Eighth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), 2013

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 212))

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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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Authors and Affiliations

  1. College of Science, Anhui University of Science and Technology, Huainan, 232001, China

    Qiang Li & Feng Xu

Authors
  1. Qiang Li
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  2. Feng Xu
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Corresponding author

Correspondence to Qiang Li .

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Editors and Affiliations

  1. School of Science, Anhui University of Science & Technology, Huainan, China

    Zhixiang Yin

  2. Huazhong University of Science and Technology, Wuhan, China

    Linqiang Pan

  3. Anhui University of Science & Technology, Huainan, China

    Xianwen Fang

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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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-37501-9

  • Online ISBN: 978-3-642-37502-6

  • eBook Packages: EngineeringEngineering (R0)

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