ISSN 0253-2778

CN 34-1054/N

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A C1 bivariate rational cubic interpolating spline

  • A bivariate rational bicubic interpolating spline(BRIS) with biquadratic denominator and six shape parameters was constructed using both function values and partial derivatives of the function as the interpolation data in a rectangular domain. The C1 continuous condition of BRIS was discussed. Some properties of BRIS such as symmetry were given. BRIS was proved to be bounded and its error was estimated. In the end, a numerical example was given to illustrate the effect of the shape parameters on the shape of BRIS surface.
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