  The bilateral filter is a useful nonlinear filter which without smoothing
edges, it does spatial averaging. In the literature, the effectiveness of this
method for image denoising is shown. In this paper, an extension of this method
is proposed which is based on complex wavelet transform. In fact, the bilateral
filtering is applied to the low-frequency (approximation) subbands of the
decomposed image using complex wavelet transform, while the thresholding
approach is applied to the high frequency subbands. Using the bilateral filter
in the complex wavelet domain forms a new image denoising framework.
Experimental results for real data are provided, by which one can see the
effectiveness of the proposed method in eliminating noise.
