An overcomplete discrete wavelet transform for video compression

The translated function with any integer multiple of the sampling period is completely represented in the wavelet space by one of the overcomplete discrete wavelet transform (ODWT) members. This theoretical result leads to a new motion estimation and motion compensation scheme working in the wavelet transform domain. Our experiments, performed on real image sequences, show high quality and low bit rate performances. Moreover, by performing the motion estimation in the wavelet space a major reduction of the computational cost is achieved.