Year: 2004
Author: Zhiqiang Xu, Renhong Wang
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 6 : pp. 807–816
Abstract
Super splines are bivariate splines defined on triangulations, where the smoothness enforced at the vertices is larger than the smoothness enforced across the edges. In this paper, the smoothness conditions and conformality conditions for super splines are presented. Three locally supported super splines on type-1 triangulation are presented. Moreover, the criteria to select local bases are also given. By using local supported super spline function, a variation-diminishing operator is built. The approximation properties of the operator are also presented.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-JCM-8869
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 6 : pp. 807–816
Published online: 2004-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Spline Local bases Super spline.