SOME IDENTITIES FOR PRODUCTS AND DEGREE RAISING OF SPLINES

被引：57

作者：

MORKEN, K ^{[1
]}

机构：

[1] UNIV OSLO,INST INFORMAT,N-0316 OSLO 3,NORWAY

来源：

CONSTRUCTIVE APPROXIMATION | 1991年 / 7卷 / 02期

关键词：

SPLINES; B-SPLINES; KNOT INSERTION; SUBDIVISION; DISCRETE B-SPLINES; PRODUCTS OF SPLINES; DEGREE RAISING OF SPLINES;

D O I：

10.1007/BF01888153

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper it is shown how the algebraic product of two spline functions, each represented in terms of B-splines, can again be represented as a linear combination of suitable B-splines. As a corollary to this result we obtain an explicit representation of a given B-spline function in terms of B-splines of some arbitrary higher degree. This generalizes some known results for raising the degree by one. Recurrence relations for both products and degree raising are established that may be useful for computation.

引用

页码：195 / 208

页数：14

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