论文标题
复制分数单元:弱点条件的削弱
Reproducing fractional monomials: weakening of the Strang-Fix conditions
论文作者
论文摘要
通过M. Unser和Th引入的相应分数B-Splines的整数移位,一种通过整数移动来繁殖分数程度的因果和对称单元的方法。蓝色,呈现。因此,复制的单体程度与近似顺序之间的传统关系。通过张量产物获得的双变量,引入了分数B-Splines;显示了双变量因果关系和对称单元的繁殖。证明该方法基于strang-fix条件的削弱。
A method to reproduce causal and symmetric monomials of fractional degree by integer shifts of the corresponding fractional B-splines, introduced by M. Unser and Th. Blue, is presented. Thus the traditional relation between the degree of reproduced monomials and the order of approximation holds. Bivariate, obtained by tensor product, fractional B-splines are introduced; and reproducing of bivariate causal and symmetric monomials is shown. Demonstration that the method is based on a weakening of the Strang-Fix conditions is presented.