Abstract

This paper introduces a new class of filter for the removal of impulse noise in images using mathematical morphology. Basic mathematical morphological theory and operations are introduced at first, and then the self adaptive median morphological filter is proposed for the removal of impulse noise. The noise density (ND) is calculated for the image, which is used as the estimation function to select the size of the structuring element unit [SEU]. The subsequent algorithm for edge detection based on morphology is designed to better appraise the noise cancellation behavior of our filter from the point of view of human perception. Simulation results show that the proposed filter can effectively resolve the gap between detail-preserving and noise removing.

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