APPLICATION OF ICA TO LOSSLESS IMAGE CODING
Michel Barret, Michel Narozny · 2003
In this paper we give a lifting factorization of any matrix of order 3 or 4 whose determinant is equal to one. In the case of matrices of order 4, the factorization has been obtained by solving a system of algebraic equations, thanks to a Gröbner basis computation. The lifting factorization associated with rounding allows to construct a transformation that maps integers to integers and that is close to the separation matrix of an instantaneous mixture of independent components, given by any blind source separation algorithm. We have applied such transforms to images in order to reduce mutual information between inter-band pixels in a multiresolution decomposition. Results of our simulations are presented. 1.