SYMMETRIC TIGHT WAVELET FRAMES CONSTRUCTED FROM QUASI-INTERPOLATORY SUBDIVISION MASKS

This talk presents tight wavelet frames with two compactly supported symmetric generators of more than one vanishing moments in Unitary Extension Principle. We determine all possible free tension parameters of the quasi-interpolatory subdivision masks whose corresponding re-finable functions guarantee our wavelet frame. In order to reduce shift variance of the standard discrete wavelet transform, we use the three times overs amp ling filter bank and eventually obtain a ternary (low, middle, high) frequency scale. In applications to signal/image denoising and erasure recovery, the results demonstrate reduced shift variance and better performance of our wavelet frame than the usual wavelet systems such as Daubechies wavelets.