| 多分辨分析中尺度函数的一个注记 |
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| 引用本文： | 李云晖,崔明根.多分辨分析中尺度函数的一个注记[J].哈尔滨师范大学自然科学学报,2004,20(1):20-24. |
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| 作者姓名： | 李云晖 崔明根 |
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| 作者单位： | 哈尔滨学院;哈尔滨工业大学威海校区 |
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| 摘 要： | 在本文中除了通常的多分辨分析的尺度方程以外，我们又给出了两类新的所谓的广义尺度方程．第一类是用积分方程表示的，第二类是用微分方程表示的．在前一种情况下，我们给出了用尺度方程的解去构造多分辨分析的方法．在后一种情况下，我们指出了除了特殊情况以外，用微分方程的解是不能构造多分辨分析的．
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| 关 键 词： | 多分辨分析 尺度函数 尺度方程 |
| 修稿时间： | 2003年11月18 |
ON THE THREE KINDS OF SCALE FUNCTIONS IN THE MULTIRESOLUTION ANALYSIS |
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| Li Yunhui,Cui Minggen.ON THE THREE KINDS OF SCALE FUNCTIONS IN THE MULTIRESOLUTION ANALYSIS[J].Natural Science Journal of Harbin Normal University,2004,20(1):20-24. |
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| Authors: | Li Yunhui Cui Minggen |
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| Institution: | Li Yunhui Cui Minggen (Harbin College) (Harbin Institute of Technology) |
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| Abstract: | In this paper, we give two new kinds of so-called generalized scale equations besides the ordinary scale equation of multiresolution analysis. The first kinds is repressented by the integral equation, and the second kind is expressed by the differential equation. As for the former, we give a method of forming a multiresolution analysis with the solution of the scale equation, and for the later, we show that the solution of the differential equation can't form a multiresolution analysis except for the special casses. |
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| Keywords: | Multiresolution analysis Scale function Scale equation |
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