In this paper we deal with the problem of finding high performance factorizations of wavelet filters to be employed within the Lifting Scheme framework to yield the Integer Wavelet Transform (IWT). A method is proposed, based on the search for the factorization yielding the minimally non-linear iterated graphic function. Results are reported, referring to a set of popular wavelet filters, which show that the obtained implementations lead to IWTs achieving very satisfactory results for both lossy and lossless image compression. © 2000 IEEE.