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基于TST提升3重Chui-Lian多尺度函数的逼近阶
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
作者姓名:杨守志  廖淑娇
作者单位:汕头大学数学系,广东,汕头,515063
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)
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.

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
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
Authors:YANG Shou-zhi  LIAO Shu-jiao
Affiliation:Department of Mathematics, Shantou University, Shantou 515063, Guangdng, China
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.
Keywords:two-scaling similarity transform   TST transform matrix   approximation order   symmetry   compact support
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