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TW 306
J. Simoens, S. Vandewalle
On the stability of wavelet bases in the lifting scheme
Abstract
The lifting scheme provides an easy way to construct wavelet bases on irregular meshes in one or more dimensions. However, analysis shows that the standard implementation where a primal lifting step is used to increase the number of vanishing moments of the wavelets can compromise the stability of the resulting wavelet basis. We propose a modification which solves this issue. With this modification, uniform stability can be guaranteed for a standard two-step lifted wavelet transform comprising one dual (prediction) and one primal (update) lifting step.
report.pdf / mailto: J. Simoens