Almost strictly total positivity of NUAT B-spline basis  

作　　者：WEI WeiLi WANG GuoZhao 

机构地区：[1]Mathematics Department, Zhejiang University

出　　处：《Science China(Information Sciences)》2013年第9期46-51,共6页中国科学（信息科学）（英文版）

基　　金：supported by National Science Foundation of China (Grant Nos. 60933008, 61272300)

摘　　要：Total positivity of spline basis has been well known in the theory of computer aided geometry design, which is highly related with good shape preserving property. Almost strictly total positivity is stronger, which could determine the positive minors while the other is zero. In this paper, a geometrical approach is proposed to prove the collection matrices of NUAT B-spline basis are almost strictly totally positive. In this paper, knot insertion algorithm combined with coefficient variation of NUAT B-spline function, we put forward an intuitive and geometrical method.Total positivity of spline basis has been well known in the theory of computer aided geometry design, which is highly related with good shape preserving property. Almost strictly total positivity is stronger, which could determine the positive minors while the other is zero. In this paper, a geometrical approach is proposed to prove the collection matrices of NUAT B-spline basis are almost strictly totally positive. In this paper, knot insertion algorithm combined with coefficient variation of NUAT B-spline function, we put forward an intuitive and geometrical method.

关 键 词：ASTP NUAT B-spline basis knot insertion algorithm coefficient variation 

分 类 号：O186.12[理学—数学]