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On the calculation of fractal features from images

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3 Author(s)
Chen, S.S. ; Allied Bendix/King Radio Corp., Olathe, KS, USA ; Keller, J.M. ; Crownover, Richard M.

Fractal geometry is becoming increasingly more important in the study of image characteristics. There are numerous methods available to estimate parameters from images of fractal surfaces. A very general technique to calculate numerous fractal features involves the estimation of the mass density function by box counting. The authors analyze the box-counting method, establish a lower bound for the box size, and indicate how algorithms can be improved to give better estimates of fractal features of images. This provides a theoretical basis for a heuristic approach used by C.A. Pickover and A.L. Khorasani (1986)

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Pattern Analysis and Machine Intelligence, IEEE Transactions on  (Volume:15 ,  Issue: 10 )