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Hermite Interpolation on Bivariate Cubic Spline Space S_3~1(△W)

Huan‐Wen Liu

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Abstract

By using technique of Bezier-method,Hermite interpolation schemes are constructed based on cubic splines on Wang's refined triangulations. The existence and the uniqueness of the interpolation are discussed. The interpolant has local support and explicit representation.

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What this paper is about

By using technique of Bezier-method,Hermite interpolation schemes are constructed based on cubic splines on Wang's refined triangulations. The existence and the uniqueness of the interpolation are discussed. The interpolant has local support and explicit representation.

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Available abstract

By using technique of Bezier-method,Hermite interpolation schemes are constructed based on cubic splines on Wang's refined triangulations. The existence and the uniqueness of the interpolation are discussed. The interpolant has local support and explicit representation.

Key concepts: Monotone cubic interpolation, Cubic Hermite spline, Mathematics, Hermite interpolation, Hermite spline, Spline interpolation, Interpolation (computer graphics), Birkhoff interpolation

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