Several image transforming and coding algorithms in eliminating the redundancy of image are compared. Four images with high redundancies which are referred to as repetition, symmetry, rotation and interpolation are generated by transforming and tiling the original image, then processed by using transforming and coding algorithm. The result shows that at present no algorithm can be used to eliminate the redundancies referred to as repetition, symmetry, rotation and interpolation simultaneously. This paper implies a direction to enhance the performance of image coding.