基于TST提升3重Chui-Lian多尺度函数的逼近阶

Increase the Approximation Order of Multiplicity 3 Chui-Lian Multi-Scaling Function Based on TST

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.

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.