Parameterization construction of integer wavelet transforms for embedded image coding

The Integer Wavelet Transform (IWT) has proved particularly successful in the area of embedded lossy-to-lossless image coding. One of the possible methods to realize the IWT is the lifting scheme. Here we construct a new class of IWTs parameterized simply by one free parameter, which are obtained by introducing a free variable to the lifting-based factorization of a Deslauriers-Dubuc interpolating filter. The exact one-parameter expressions for this class of IWTs are deduced and different IWTs can be easily obtained by adjusting the free parameter. In particular, several IWTs with their lifting filters all having binary coefficients are constructed. Extensive experiments show that our transforms have superior compression performance for both lossless and lossy image coding than the state-of-the-art IWTs, and yet require only comparable computational complexity. In addition, a quantization method that improves the rate-distortion performance of the IWT remarkably is also discussed.