On continuous functions computed by finite automata
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Special issue for Professor Karel Culik II : 60 th birthday, Tome 28 (1994) no. 3-4, pp. 387-403. 
@article{ITA_1994__28_3-4_387_0,
     author = {Derencourt, D. and Karhum\"aki, J. and Latteux, M. and Terlutte, A.},
     title = {On continuous functions computed by finite automata},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {387--403},
     publisher = {EDP-Sciences},
     volume = {28},
     number = {3-4},
     year = {1994},
     mrnumber = {1282454},
     zbl = {0883.68095},
     language = {en},
     url = {http://archive.numdam.org/item/ITA_1994__28_3-4_387_0/}
}
TY  - JOUR
AU  - Derencourt, D.
AU  - Karhumäki, J.
AU  - Latteux, M.
AU  - Terlutte, A.
TI  - On continuous functions computed by finite automata
JO  - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY  - 1994
SP  - 387
EP  - 403
VL  - 28
IS  - 3-4
PB  - EDP-Sciences
UR  - http://archive.numdam.org/item/ITA_1994__28_3-4_387_0/
LA  - en
ID  - ITA_1994__28_3-4_387_0
ER  - 
%0 Journal Article
%A Derencourt, D.
%A Karhumäki, J.
%A Latteux, M.
%A Terlutte, A.
%T On continuous functions computed by finite automata
%J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
%D 1994
%P 387-403
%V 28
%N 3-4
%I EDP-Sciences
%U http://archive.numdam.org/item/ITA_1994__28_3-4_387_0/
%G en
%F ITA_1994__28_3-4_387_0
Derencourt, D.; Karhumäki, J.; Latteux, M.; Terlutte, A. On continuous functions computed by finite automata. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Special issue for Professor Karel Culik II : 60 th birthday, Tome 28 (1994) no. 3-4, pp. 387-403. http://archive.numdam.org/item/ITA_1994__28_3-4_387_0/

[B] M. F. Barnsley, Fractals Everywhere, Academic Press, Orlando, 1988. | MR | Zbl

[BM] J. Berstel and M. Morcrette, Compact representations of pattems by finite automata, Proc. Pixim'89, Hermes, Paris, 1989, pp. 387-402.

[BR] J. Berstel and Ch. Reutenauer, Rational Series and Their Languages, Springer-Verlag, Berlin, 1988. | MR | Zbl

[CD] K. Culik Ii and S. Dube, Rational and Affine Expressions for Image Description, Discrete Applied Mathematics, 1993, 41, pp. 85-120. | MR | Zbl

[CKarh] K. Culik Ii and J. Karhumàki, Finite Automata Computing Real Functions, SIAM J. Comp. (to appear). | MR | Zbl

[CKari] K. Culk Ii and J. Kari, Image Compression Using Weighted Finite Automata, Computer & Graphics, 1993, 17, pp.305-313.

[DKLT] D. Derencourt,J. Karhumaki, M. Laiteux and A. Terlutte, On Computational Power of Weighted Finite Automata, Proceedings of MFCS'92, LNCS 629, 1992, pp. 236-245. | MR

[E] S. Eilenberg, Automata, Languages and Machines, Vol. A, Academic Press, New York, 1974. | MR | Zbl

[SS] A. Salomaa and M. Soittola, Automata-Theoretic Aspects of Formal Power Series, Springer-Verlag, Berlin, 1978. | MR | Zbl