A bivariate rational interpolation with a bi-quadratic denominator
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摘要
In this paper a new rational interpolation with a bi-quadratic denominator is developed to create a space surface using only values of the function being interpolated. The interpolation function has a simple and explicit rational mathematical representation. When the knots are equally spaced, the interpolating function can be expressed in matrix form, and this form has a symmetric property. The concept of integral weights coefficients of the interpolation is given, which describes the “weight” of the interpolation points in the local interpolating region.
论文关键词:Computer-aided geometric design,Bivariate interpolation,Rational spline
论文评审过程:Received 15 August 2004, Available online 7 September 2005.
论文官网地址:https://doi.org/10.1016/j.cam.2005.07.015