具有Hermite插值性质的可加细函数向量

J4 ›› 2009, Vol. 47 ›› Issue (6): 1155-1159.

具有Hermite插值性质的可加细函数向量

成丽波^1,2, 孙佳宁³, 梁学章², 温学兵⁴

1. 长春理工大学理学院, 长春 130022|2. 吉林大学数学学院, 长春 130012;3. 东北师范大学数学与统计学院, 长春 130024|4. 渤海大学数学系, 辽宁锦州 121013

收稿日期:2009-03-24 出版日期:2009-11-26 发布日期:2010-01-07
通讯作者: 成丽波 E-mail:clbyy@126.com.

Refinable Function Vectors with Hermite Interpolating Property

CHENG Libo^1,2, SUN Jianing³, LIANG Xuezhang², WEN Xuebing⁴

1. School of Science, Changchun University of Science and Technology, Changchun 130022, China;2. College of Mathematics, Jilin University, Changchun 130012, China;3. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China;4. Department of Mathematics, Bohai University, Jinzhou 121013, Liaoning Province, China

Received:2009-03-24 Online:2009-11-26 Published:2010-01-07
Contact: CHENG Libo E-mail:clbyy@126.com.

摘要/Abstract

摘要：

通过引入Hermite插值条件, 给出一个全新的具有Hermite插值性质的可加细函数向量, 即Hermite插值型可加细函数向量, 并结合相应的Hermite插值型尺度滤波器, 刻画了Hermite插值型可加细函数向量的性质.

关键词: 可加细函数向量, Hermite插值条件, 尺度滤波器

Abstract:

With introducing Hermite interpolating condition, the authors presented a novel notion of Hermite interpolating refinable function vector. In terms of its mask, several properties with respect to Hermite interpolating refinable function vector were investigated.

Key words: refinable function vector, Hermite interpolating condition, mask

中图分类号:

O241.5

成丽波, 孙佳宁, 梁学章, 温学兵. 具有Hermite插值性质的可加细函数向量[J]. J4, 2009, 47(6): 1155-1159.

CHENG Libo, SUN Jianing, LIANG Xuezhang, WEN Xuebing. Refinable Function Vectors with Hermite Interpolating Property[J]. J4, 2009, 47(6): 1155-1159.