Parameter analysis of fractal image compression and its applications in image sharpening and smoothing

In recent years, numerous fractal image compression (FIC) schemes and their applications in image processing have been proposed. However, traditional FIC ignores the importance of affine parameters in the iterated function system (IFS) and affine parameters are kept invariant for a certain image in almost all of these schemes. By analyzing fractal compression technology in this paper, we show that the affine parameters in IFS can vary with different image quality measurements. A positive correlation exists between the image contrast of fractal decoded image and affine scalar multiplier. This strong correlation demonstrates that an image can be sharpened or smoothed using fractal compression technology.

► Affine parameters in FIC can vary with different image measures.
► Decoded images in SSIM-based FIC have the closest contrast with original images.
► An image can be smoothed or sharpened by adjusting affine multipliers in FIC.