February Fourier Talks 2008
Colloquium Talk: M. Victor Wickerhauser
Wavelet filter transforms in detail
One of the more efficient implementations of a perfect
reconstruction wavelet filter transform is factorization into Sweldens'
lifting steps, which incidentally performs the evaluation in place and
reduces memory use. A recent result of Wei ZHU shows that in general
these steps need only use nearest-neighbor data. We describe the proof and
discuss the advantages and disadvantages from the implementation and
accuracy points of view.