WAVELET TRANSFORM AND SCALE-SPACE FILTERING OF FRACTAL IMAGES

In this correspondence, we consider wavelet transform and scale space filtering as special cases of general scale shift mapping (SSM). Then, the SSM is used as a tool for characterizing the geometrical complexi ty of uniform fractals, This tool can reveal the construction rule of fractals and estimate fractal dimension, Finally, we use the results o btained from scale shift mapping to estimate iterated function system (IFS) codes of a class of fractal images, Some examples have been illu strated to demonstrate its good performance.