| 基于TST提升3重Chui-Lian多尺度函数的逼近阶 |
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| 引用本文： | 杨守志,廖淑娇. 基于TST提升3重Chui-Lian多尺度函数的逼近阶[J]. 汕头大学学报(自然科学版), 2005, 20(4): 1-7,13 |
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| 作者姓名： | 杨守志 廖淑娇 |
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| 作者单位： | 汕头大学数学系,广东,汕头,515063 |
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| 基金项目： | 广东省自然科学基金资助项目（No：032038）;广东省自然科学基金博士基金资助项目（No：04300917） |
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| 摘 要： | 基于TST法,将具有紧支撑性、对称性、正交性和3阶逼近阶的3重Chui-Lian多尺度函数的逼近阶进一步提升到4阶和5阶.在提升过程中,由于构造出特殊的TST变换矩阵,使得变换过程中也保持了原尺度函数的紧支性和对称性.从图形可以看到,逼近阶越高,图形越光滑.
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| 关 键 词： | 两尺度相似变换 TST变换矩阵 逼近阶 对称性 紧支性 |
| 文章编号： | 1001-4217（2005）04-0001-07 |
| 收稿时间： | 2005-04-30 |
| 修稿时间： | 2005-04-30 |
Increase the Approximation Order of Multiplicity 3 Chui-Lian Multi-Scaling Function Based on TST |
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| YANG Shou-zhi,LIAO Shu-jiao. Increase the Approximation Order of Multiplicity 3 Chui-Lian Multi-Scaling Function Based on TST[J]. Journal of Shantou University(Natural Science Edition), 2005, 20(4): 1-7,13 |
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| Authors: | YANG Shou-zhi LIAO Shu-jiao |
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| Affiliation: | Department of Mathematics, Shantou University, Shantou 515063, Guangdng, China |
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| Abstract: | The approximation order of compactly supposal, symmetric and orthogonal Chui-Lian multi-scaling function with multiplicity 3 is increased from 3 to 4 and 5 based on TST. Simultaneously, the compact support and symmetry of the multi-scaling function are also preserved. It can be found that the higher the approximation order of multi-scaling function, the more smooth its figrues. |
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| Keywords: | two-scaling similarity transform TST transform matrix approximation order symmetry compact support |
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