Integer wavelet transforms using the lifting scheme

Abst ract: Due to its good decorrelating properties, the wavelet transform is a powerful tool for signal analysis. The lifting scheme is an efficient algorithm to calculate wavelet transforms and it allows for the construction of second-generation wavelets. Furthermore it can easily be converted to an integer transform, which is of great importance for multimedia applications. We show how the lifting scheme can be used for oneand twodimensional signals. In the 2D case, we consider a rectangular grid on which we construct second-generation wavelets based on a red-black blocking scheme. Compared to classical tensor product wavelets on the same grid, these wavelets show less anisotropy.