Complex Wavelet Transform

High Quality Content by WIKIPEDIA articles! The complex wavelet transform (CWT) is a complex-valued extension to the standard discrete wavelet transform (DWT). It is a two-dimensional wavelet transform which provides multiresolution, sparse representation, and useful characterization of the structure of an image. Further, it purveys a high degree of shift-invariance in its magnitude. However, a drawback to this transform is that it is exhibits 2d (where d is the dimension of the signal being transformed) redundancy compared to a separable (DWT).