Developments in bivariate spline interpolation

[摘要] 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. (C) 2000 Elsevier Science B.V. All rights reserved. MSC: 41A05; 41A15; 41A25; 65D05; 65D07; 65D17; 41A63.

[发布日期] 2000-09-01

[关键词] bivariate splines;interpolation;dimension;approximation order;finite elements;macro elements;Bezier-Bernstein techniques;triangulation