2016•Acta Scientiarum Naturalium Universitatis SunyatseniRequires access

General Interpolation Formulae for Barycentric Blending Interpolation

Yigang, Zhang

Abstract

General interpolation formulae for barycentric interpolation and barycentric rational Hermite interpolation are established by introducing multiple parameters,which include many kinds of barycentric interpolation and barycentric rational Hermite interpolation. We discussed the interpolation theorem, dual interpolation and special cases. Numerical example is given to show the effectiveness of the method.

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Key concepts: Barycentric coordinate system, Mathematics, Interpolation (computer graphics), Trilinear interpolation, Nearest-neighbor interpolation, Birkhoff interpolation, Polynomial interpolation, Stairstep interpolation