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摘要
Neighborhood filters are modern and powerful techniques for image denoising. In this paper, we perform an analysis for the normalization Factor of Neighborhood filters, where the size of the gray Euclidean distance is small. We prove that the weak edges and details are smoothed, and the gray level transition tends to become mild, when filtering with these Neighborhood filters. As a solution, a new gray-level value logarithm ratio range filter kernel is pointed out for the normalization Factor of Bilateral filter, a representative method of Neighborhood filters. The new gray-level value logarithm ratio Neighborhood filters method can not only restrain noise well but also keep much more weak edges and details of images, and preserve the original gray level or color transition for gray images or color images.
