8 Salt-and-Pepper Noise Removal Based on Basis Pursuit and Local Adaptive Median Filter

A new method for removing salt-and-pepper noise from corrupted images is presented. We employ an efficient impulse noise detector based on Basis Pursuit model to detect the noisy pixels, and a local adaptive median filter to estimate the intensity values of noisy pixels. Experimental results demonstrate that the proposed method obtain better performance in terms of both qualitative and quantitative evaluations than those de-noising techniques such as the median filter, the peak-and-valley filter, the detail preserving filter, and the boundary discriminative noise detection filter. Especially, the proposed method provides high detection rate and preserves the detail very well.