Developments in bivariate spline interpolation

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The aim of this survey is to describe developments in the field of interpolation by bivariate splines. We summarize results on the dimension and the approximation order of bivariate spline spaces, and describe interpolation methods for these spaces. Moreover, numerical examples are given.

论文关键词:41A05,41A15,41A25,65D05,65D07,65D17,41A63,Bivariate splines,Interpolation,Dimension,Approximation order,Finite elements,Macro elements,Bézier–Bernstein techniques,Triangulation

论文评审过程:Received 22 January 2000, Available online 22 August 2000.

论文官网地址:https://doi.org/10.1016/S0377-0427(00)00346-0