Acta mathematica scientia,Series A ›› 2002, Vol. 22 ›› Issue (1): 83-90.
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WANG Hong-Yong, XU Zong-Ben, CHEN Gang
Online:
Published:
Supported by:
国家自然科学基金资助项目(69972045);安徽省教委科研基金资助项目(2001kj198ZC)
Abstract:
在等距插值情形下,利用多个非线性Lip型分形插值函数构成一组连续紧支的尺度函数。证明了当纵向压缩因子参数满足适当条件时,这些尺度函数生成犔2(犚)的一个正交多分辨分析。利用不动点方程,导出了一般插值情形下的Lip型分形插值函数的细分表达式,在此基础上,讨论了这类分形插值函数以及由其产生的尺度函数的光滑性。
Key words: 分形插值函数;尺度函数;多分辨分析;光滑性
CLC Number:
WANG Hong-Yong, XU Zong-Ben, CHEN Gang. 基于Lip-型分形插值函数构造正交多分辨分析[J].Acta mathematica scientia,Series A, 2002, 22(1): 83-90.
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