A single-rule two-dimensional fuzzy smoothing filter

Fuzzy filters are often strong in smoothing corrupted signals, whereas they have simple structures. In this paper, a new powerful, yet simple fuzzy procedure is introduced for sharpness reduction in two-dimensional signals. It is indeed an extension of our previously published one-dimensional fuzzy smoothing filter. The proposed method looks for sharp points in the corrupted signal and then smooths them out by sharing their values with eight (or more) neighboring point values. Preservation of correct data in the corrupted signal is an important advantage of this method. To obtain experimental results of the proposed procedure, images are used as the most common two-dimensional signals, and the results are compared with several other filters recently cited in the literature. Experimental results exhibit a high capability of our method in both numerical measures and visual inspection, preserving its simplicity.