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This chapter proposes a novel approach for suppressing impulse noise in digital images while effectively preserving more details than previously proposed methods. The method presented is based on impulse noise detection and noise exclusive restoration. A noise-exclusive median (NEM) filtering algorithm and a noise-exclusive arithmetic mean (NEAM) filtering algorithm are proposed to restore the image. The chapter proposes a more general model in which a noisy pixel can take on arbitrary values in the dynamic range. It presents an iterative approach that is introduced using a recursive NEM filter to restore images corrupted by very strong noise. The chapter proposes a new filtering scheme, which aimed to keep the robustness of median-type and nonlinear mean filters while overcoming their disadvantages. It performs experiments based on different models and with varying percentage of noise.