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A stochastic algorithm to compute optimal probabilities in the chaos game
Part of
- Stochastic processes
- Communication, information
Laura M. Morato, Paola Siri
Journal:

Advances in Applied Probability / Volume 33 / Issue 2 / June 2001

Published online by Cambridge University Press:

01 July 2016, pp. 423-436

Print publication:

June 2001
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We present a stochastic algorithm which generates optimal probabilities for the chaos game to decompress an image represented by the fixed point of an IFS operator. The algorithm can be seen as a sort of time-inhomogeneous regenerative process. We prove that optimal probabilities exist and, by martingale methods, that the algorithm converges almost surely. The method holds for IFS operators associated with any arbitrary number of possibly overlapping affine contraction maps on the pixels space.

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A stochastic algorithm to compute optimal probabilities in the chaos game