Multivariate splines and hyperplane arrangements

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摘要

In this paper, we use the so-called conformality method of smoothing cofactor (abbr. CSC) and hyperplane arrangements to study truncated powers and box splines in R2. By the relation between hyperplane arrangements and truncated powers, we give the expressions of the truncated powers. Moreover, by means of the CSC method, the least smoothness degrees of the truncated powers and the box splines on each direction of partition edges are studied.

论文关键词:CSC method,Box splines,Truncated powers,Hyperplane arrangements

论文评审过程:Available online 27 May 2011.

论文官网地址:https://doi.org/10.1016/j.cam.2011.05.034