C. A. Berenstein and D. Lavine, On the number of digital straight line segments, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.10, issue.6, pp.880-887, 1988.
DOI : 10.1109/34.9109

J. Berstel and M. Pocchiola, A GEOMETRIC PROOF OF THE ENUMERATION FORMULA FOR STURMIAN WORDS, International Journal of Algebra and Computation, vol.03, issue.03, pp.349-355, 1993.
DOI : 10.1142/S0218196793000238

URL : https://hal.archives-ouvertes.fr/hal-00619494

]. E. Chr75, Observatio arithmetica, Math. Ann, vol.6, pp.145-152

J. Cassaigne, P. Hubert, and S. Troubetzkoy, Complexity and growth for polygonal billiards Annales de l'Institut Fourier, pp.1001-1013, 2002.

[. Chassery and A. Montanvert, Géométrie discrète en analyse d'images, 1991.

A. De, L. , and A. De-luca, Palindromes in sturmian words, Developments in Language Theory, pp.199-208, 2005.

]. H. Fre74 and . Freeman, Computer processing of line-drawing images, ACM Computing Surveys, vol.6, issue.1, pp.57-97, 1974.

]. S. Hun85 and . Hung, On the straightness of digital arcs, IEEE Transactions on Pattern Analysis and Machine Intelligence, volume PAMI-7, pp.203-215, 1985.

. Lothaire, Algebraic Combinatorics On Words, 2002.
DOI : 10.1017/CBO9781107326019

URL : https://hal.archives-ouvertes.fr/hal-00620608

A. Markoff, Sur une question de Jean Bernoulli, Mathematische Annalen, vol.19, issue.1, pp.27-36
DOI : 10.1007/BF01447292

M. Morse and G. A. Hedlund, Symbolic Dynamics II. Sturmian Trajectories, American Journal of Mathematics, vol.62, issue.1/4, pp.1-42, 1940.
DOI : 10.2307/2371431

]. F. Mig91 and . Mignosi, On the number of factors of sturmian words, Theoret. Comput. Sci, vol.82, issue.1, pp.71-84, 1991.

B. Parvaix, Propri??t??s d'invariance des mots sturmiens, Journal de Th??orie des Nombres de Bordeaux, vol.9, issue.2, pp.351-369, 1997.
DOI : 10.5802/jtnb.207

J. Reveilì-es, Géométrie discrète, calcul en nombres entiers et algorithmique, Thèse d'´ etat, 1991.

]. A. Ros74 and . Rosenfeld, Digital straight lines segments, IEEE Transactions on Computers, pp.1264-1369, 1974.