SPLITTING TRICK AND FINER DECOMPOSITION OF INTERPOLATORY WAVELET PACKETS OF L~2(R~s)

Lihong Cui · Journal of Mathematics · 2005

A method is presented for constructing wavelet packets of L~2(R~s) associated with an interpolatory refinable function with arbitrary dilation matrix A. Sampling space is split directly instead of using the mask of the refinable function. The interpolatory wavelet packets constructed by our method can provide a finer decomposition for the cardinal interpolation space and give a better localization for an adaptive interpolation.

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