Copyright © 1997 Published by Elsevier Science Ltd.
Fractal anamorphosis: Look up table transform using self-affine series
Available online 12 May 1998.
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Abstract
This paper describes the use of random (fractional Brownian motion) and deterministic (Weierstrass function) fractal time series as transform functions for digital pseudocolour processing of greyscale images. These fractal look up tables can be used as a fast method to ‘texturize’ images nondestructively, with controlled levels of ‘persistency’ or ‘antipersistency’ using the Hurst exponent of the fractional Brownian motion or Weierstrass function models. Pseudo-greyscale look up tables created with these methods can also be used to add non-destructive artistic ‘pencil’ or ‘charcoal’ touches to digital images.






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(0,1) we define a stochastic integral with respect to fractional Brownian motion of index
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