Description: Research of algorithms and methods of compression of image is conducted in the article. For the estimation of loss of quality of image classic criteria are used estimation of quality. On the criterion of compression (file size), indisputably, the method of fractal compression proved better. For a fractal algorithm difficulties are caused by those images, where the frequent changing of scopes of one color is obviously expressed other, changing is not cyclic thus. For the method of JPEG the best is consider the class of the full-color images, or images, in gradations grey without the sharp transitions of flowers.
Keywords: image, compression, algorithm, method, graphic format