Title :
Wavelet transform and scale space filtering of fractal images
Author :
Pei, Soo-Chang ; Tseng, Chien-Cheng ; Lin, Ching-Yung
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan
fDate :
5/1/1995 12:00:00 AM
Abstract :
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 complexity of uniform fractals. This tool can reveal the construction rule of fractals and estimate fractal dimension. Finally, we use the results obtained from scale shift mapping to estimate iterated function system (IFS) codes of a class of fractal images. Some examples have been illustrated to demonstrate its good performance
Keywords :
filtering theory; fractals; image coding; iterative methods; wavelet transforms; construction rule; fractal dimension estimation; fractal images; general scale shift mapping; geometrical complexity; iterated function system codes; performance; scale space filtering; wavelet transform; Adaptive filters; Filtering; Fractals; Fuzzy neural networks; Fuzzy systems; Image coding; Image restoration; Neural networks; Optical filters; Wavelet transforms;
Journal_Title :
Image Processing, IEEE Transactions on
