Wavelet transform and scale space filtering of fractal images

  • Authors:
  • Soo-Chang Pei;Chien-Cheng Tseng;Ching-Yung Lin

  • Affiliations:
  • Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei;-;-

  • Venue:
  • IEEE Transactions on Image Processing
  • Year:
  • 1995

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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