Abstract: The contourlet transform with anisotropy and directionality is a new extension to the wavelet transform. Because of its filter bank structure, the contourlet transform is not translation-invariant. In this paper, we propose the translation-invariant contourlet-like transform (TICLT) with lower redundancy than both the nonsubsampled contourlet transform (NSCT) and the translation invariant contourlet transform (TICT). The TICLT is constructed by combining the translation invariant Laplacian pyramid and undecimated directional filter banks. The undecimated directional filter banks, which satisfy the perfect reconstruction condition, are designed by the mapping approach using one-dimensional fractional splines orthogonal filter banks as prototype filters. We evaluate the performance of the TICLT in image denoising. Some comparisons with the state-of-the-art denoising methods are given to illustrate the potential of the TICLT.