I have a very specific application which requires to use the complex Morlet wavelet (or Gabor wavelet, if that's the name you use). I currently use the convolution theorem to compute wavelets transforms, but I'm reading everywhere that direct wavelet transforms are more computer efficient, because of the lifting scheme.
On the other hand, I searched for lifting scheme, and it's so much of a different paradigm that I have no idea how to use it with my wavelet, or whether it's even possible.
My question is: is it possible to use the lifting scheme with the Morlet wavelet in 1D and 2D? If so, can you recommend some litterature explaining the algorithm?