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Affine automata and related techniques for generation of complex images. (English) Zbl 0779.68062
The paper introduces two generalizations of Barnsley’s Iterative Function Systems (IFS): Probabilistic Affine Automata and Mutual Recursive Function Systems. In particular, the latter turned out to be a powerful tool for image description and generation. A number of theoretical results about these systems is shown. Recently, Weighted Finite Automata (introduced in [K. Culik II and J. Karhumäki, Automata Computing Real Functions, SIAM J. Comput., to appear]) have proved to be an excellent tool for image compression [K. Culik II and J. Kari, Image Compression Using Weighted Finite Automata, Computer and Graphics vol. 17, 3, 305-313 (1993)] and [K. Culik II and J. Kari, Image-data Compression Using Edge-Optimizing Algorithm for WFA Inference, Journal of Information and Management, to appear]).
Reviewer: Karel II Culik

MSC:
68Q45 Formal languages and automata
68U10 Computing methodologies for image processing
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