Symmetry-adapted wavelet analysis
Jean-Pierre Antoine · 2002
Wavelet analysis comes in two versions: the continuous one, used mostly for signal or image analysis, and the discrete one, originating from multiresolution analysis and particularly efficient in reconstruction and data compression. We review the construction of continuous wavelet transforms adapted to a given symmetry. Then we discuss in detail successively spatial wavelets, wavelets on the sphere and space-time wavelets.