Abstract:In image restoration, the directions of the details are random. By standard median filter, the central pixel is processed as well as others, but in fact, the central pixel and it s neighbourhoods act as different role from others. To solve the above two problems, omnidirectional bell-shaped weighted median filters are proposed. The filter s convergence properties are proved. For noise standard image the comparison between the filter proposed in this paper and other median filters are made. The results show that the proposed filter performs better than others.