Image coding using translation invariant wavelet transforms with symmetric extensions

In this correspondence, we address the problem of translation sensitivity of conventional wavelet transforms for two-dimensional (2-D) signals. We propose wavelet transform algorithms that achieve the following desirable properties simultaneously: (i) translation invariance, (ii) reduced edge effects, and (iii) size-limitedness. We apply this translation invariant biorthogonal wavelet transform with symmetric extensions to image coding applications with good results.