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《Chinese Journal of Engineering Mathematics》 2002-01
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A New Method for Constructing Scale Functions of Multiwavelets with Fractal Interpolation Functions

ZHANG Bin, WANG Wei wei, SONG Guo xiang (School of Science, Xidian Univ., Xi'an 710071)  
Utilizing fractal interpolation functions, Geronimo et al. constructed translation and dilation invariant function spaces. However, the detail algorithm for scale functions is not available. In this paper, we propose a new scheme for calculating the multiscale function, then the scaling coefficient matrix with fractal interpolation functions and obtained a different result. It is proved that the multiscale function forms a MRA. Finally, the approximation order of the multiscale function is increased by using the TST and a smoother scale function resulted.
【CateGory Index】: O174.2
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