Abstract: A method for multi-level image restoration based on fuzzy entropy is presented. The method can be used to extend the entropy's expression in terms of entropy's limitation on application, and construct a kind of fuzzy entropy that can reflect characteristics of the multi-level image. The simulation results show that the performance of image restoration by using fuzzy entropy is much bettern than those by using one of two usual image noising-reducing methods, the median filter and the mean filter. In addition, noise-reduction in the multi-level images plays an improtant role in medical image processing and military image processing. Therefore, this paper contributes to both the theoretical researches on and the applications of fuzzy entropy.

Key words: fuzzy entropy, image restoration, multi-level image