A New Estimator for Image Denoising Using a 2D Dual-Tree M-Band Wavelet Decomposition

We propose a new estimator for image denoising using a 2D dual-tree M-band wavelet transform. Our work extends existing block-based wavelet thresholding methods by exploiting simultaneously coefficients in the two M-band wavelet trees. The contributions of this paper are two-fold. Firstly, we perform a statistical analysis of the noise in the considered redundant decomposition. Secondly, we propose an efficient method to remove the noise. Our approach relies on an extension of Stein´s formula which allows us to take into account the specific correlations of the noise components. Simulation results are then presented to validate the proposed method