Abstract: Based on the shortcomings of standard median filtering, this paper puts forward two improved median filtering algorithms referred as the weighted fast median filtering algorithm and the weighted adaptive median filtering algorithm. The experiment results with MATLAB show that both of them can retain the original image details and edge nicely. The two improved algorithms are compared and the comparison indicates that the weighted fast median filtering algorithm has a significant effect on low-density impulse noise, while having non-ideal effect on high-density impulse noise, it could improve the speed of median filtering operation and could be used for digital images real-time processing; the weighted adaptive median filtering algorithm could effectively eliminate the high-density impulse noise from polluted images, and it has more superior filtering performance than the standard median filtering while having better robustness on de-noising than the weighted fast median filtering algorithm.