The Lifting Scheme: A Construction of Second Generation Wavelets
Wim Sweldens · SIAM Journal on Mathematical Analysis · 1998
We present the lifting scheme, a simple construction of second generation wavelets; these are wavelets that are not necessarily translates and dilates of one fixed function. Such wavelets can be adapted to intervals, domains, surfaces, weights, and irregular samples. We show how the lifting scheme leads to a faster, in-place calculation of the wavelet transform. Several examples are included.