WAVELET TRANSFORMS.

The article focuses on various aspects of wavelet transform. Wavelets are continuous time functions that integrate to zero and are square-integrable. The wavelet transform of a signal with respect to a mother wavelet is simply the collection of projections of the signal onto the set of daughter wavelets. An elegant expression exists for the inverse wavelet transform if a wavelet satisfies the admissibility condition. Wavelet applications of image processing are based on exploiting the localization properties of the wavelet transform in space and spatial frequency. The fast convergence rate of wavelet expansions is the key to the success of wavelet transforms in image compression.