Multivariate complex B-splines
Multivariate complex B-splines
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多元复杂 B 样条
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
B. Forster
中科院分区：
文献类型：
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作者：
P. Massopust;B. Forster
利用一般B-样条与多元B-样条之间的关系，借助于岭函数，我们将复B-样条的概念推广到多元情形。为了得到复B-样条在Rs，1<；S∈N中的性质，必须将Dirichlet平均推广到包括无限维单纯形。在此基础上，给出了多元复B-样条族的几个恒等式。
We extend the notion of complex B-splines to a multivariate setting by employing the relationship between ordinary B-splines and multivariate B-splines by means of ridge functions. In order to obtain properties of complex B-splines in Rs, 1 < s ∈ N, the Dirichlet average has to be generalized to include infinite dimensional simplices. Based on this generalization several identities of multivariate complex B-splines are exhibited.