| 广义Hermite插值型尺度函数向量 |
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| 引用本文： | 成丽波,付瑶. 广义Hermite插值型尺度函数向量[J]. 吉林大学学报(理学版), 2011, 49(5): 887-889 |
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| 作者姓名： | 成丽波 付瑶 |
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| 作者单位： | 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 |
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| 基金项目： | 国家自然科学基金(批准号:60673021) |
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| 摘 要： | 通过引入Hermite插值条件, 针对膨胀因子为d>2的情形, 给出一个新的广义Hermite插值型尺度函数向量, 描述了插值性质, 并结合相应的Hermite插值型尺度滤波器, 刻画了广义Hermite插值型尺度函数向量的性质, 进而给出紧支集小波的构造算法.
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| 关 键 词： | 广义尺度函数向量； Hermite插值性质； 尺度滤波器 |
| 收稿时间： | 2011-01-04 |
Generalized Scaling Function Vector with Hermite Interpolating Property |
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| CHENG Li-bo,FU Yao. Generalized Scaling Function Vector with Hermite Interpolating Property[J]. Journal of Jilin University: Sci Ed, 2011, 49(5): 887-889 |
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| Authors: | CHENG Li-bo FU Yao |
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| Affiliation: | 1. School of Science, Changchun University of Science and Technology, Changchun 130022, China;2. College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | With introducing of Hermite interpolating condition and aiming at the dilation factor d>2,we presented a new generalized Hermite interpolating scaling function vector,and investigated their interpolation property and described several properties of the generalized Hermite interpolating scaling function vector in terms of its mask.Moreover,the construction algorithms of the compactly supported wavelet were derived. |
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| Keywords: | generalized scaling function vector Hermite interpolating property mask |
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