In this paper, using the analysis of the objective quality of a static image compression algorithm using four compression: JPEG, JPEG2000, EZW and SPIHT. The algorithms were applied to the original image and the filtered image Laplacian, Prewitt and Sobel operator. Compression algorithms are applied with different values of bit rate (bpp). The quality of compressed images is evaluated on the basis of the values of the mean square error of the signal / noise ratio and peak signal / noise ratio. The obtained results were tabulated and graphed presented. According to the graphics given, comparing of compressions from original image has been made to the image filtered by Lapalcian, Prewitt and Sobel operator, and it is established which compressions give the best results according to bit rate and filtrating operator.