Image Registration Using a New scheme of Wavelet Decomposition

DWT (discrete wavelet transform) has become an attractive tool in image registration, however, it is shift sensitive, which is mainly caused by the aliasing term in downsampling process. Some modified schemes of DWT, such as DTCWT (dual-tree complex wavelet transform), always lead to high computational complexity in registration process because of redundancy. In this paper, a new scheme of wavelet decomposition is proposed to approximately eliminate the aliasing term while the wavelet representation remains redundancy-free. By the new scheme, the shift sensitivity of wavelet representations of original signal has been reduced efficiently. The registration results of two medical images illustrate the superiority of the proposed wavelet decomposition scheme.