A new interband multiwavelet decomposition for exact coding of multicomponent images

In this paper, we are interested in using multiwavelet transforms in the context of progressive and lossless coding of multi component images. More precisely, multiwavelet decompositions that map integers to integers are considered since they guarantee a perfect reconstruction in the absence of quantizers. Generally, these decompositions are performed separately on each spectral component of a multicomponent image. Therefore, they fail to exploit the spectral redundancies. Our main contribution in this paper consists in modifying multiwavelet decompositions in order to take into account simultaneously the spatial and the spectral redundancies contained in a multicomponent image. Simulation tests carried out on natural multicomponent images show that the the generalized interband decomposition outperforms the state-of-art lossless coders.