R. [. Andres, C. Acharya, . Sibataabfj-]-p, V. Arnoux, T. Berté et al., Discrete analytical hyperplanes. Graph. Models Image Process Functional stepped surfaces, flips and generalized substitutions, Theoret. Comput. Sci, vol.59, issue.5, pp.302-309, 1997.
DOI : 10.1006/gmip.1997.0427

P. Arnoux, V. Berthé, A. Hilion, and A. Siegel, Repr??sentation fractale de la lamination attractive d???un automorphisme du groupe libre, Annales de l???institut Fourier, vol.56, issue.7, 2006.
DOI : 10.5802/aif.2237

P. Arnoux, V. Berthé, and S. Ito, Plans discrets, actions de ${\Bbb Z}^2$, algorithme de Jacobi-Perron et substitutions, Annales de l???institut Fourier, vol.52, issue.2, pp.305-349, 2002.
DOI : 10.5802/aif.1889

P. Arnoux, V. Berthé, A. Siegelai01-]-p, S. Arnoux, ]. Itoaki98 et al., Pisot substitutions and Rauzy fractals Pisot numbers and greedy algorithm Self affine tilings and Pisot numeration systems Cubic Pisot units with finite beta expansions [Aki02] S. Akiyama. On the boundary of self affine tilings generated by Pisot numbers Représentation géométrique de suites de complexité 2n + 1 Automatic sequences: Theory and Applications, Theoret. Comput. Sci. Number theory (Eger, 1996), pages 9?21. de Gruyter Number Theory and its Applications Algebraic number theory and Diophantine analysisAY81] P. Arnoux and J.-C. Yoccoz. Construction de difféomorphismes pesudo-Anosov, pp.145-176181, 1991.

C. R. Acad, . Sci, . Paris, . A. Sér, R. P. Brimkov et al., Graceful planes and lines Connectivity of discrete planes, Theoret. Comput. Sci. Theoret. Comput. Sci, vol.292, issue.319, pp.75-78151, 1981.

V. Baker, M. Barge, and J. Kwapisz, Repr??sentation g??om??trique et co??ncidence pour pavages associ??s ?? une substitution de type Pisot non-unimodulaire r??ductible avec une application aux beta-shifts, Annales de l???institut Fourier, vol.56, issue.7
DOI : 10.5802/aif.2238

G. Barat, V. Berthé, P. Liardet, and J. M. Thuswaldner, Dynamique de la num??ration, Annales de l???institut Fourier, vol.56, issue.7, p.56, 2006.
DOI : 10.5802/aif.2233

V. Brimkov, D. Coeurjolly, and R. Klette, Digital planarity -a review Coincidence for substitutions of Pisot type, Laboratoire LIRIS -UniversitLumì ere Lyon 2Ber96] V. Berthé. Fréquences des facteurs des suites sturmiennes, pp.619-626295, 1996.

V. Berthé, C. Fiorio, D. Andres, G. Damiand, P. Lienhardt et al., Interactions between dynamics, arithmetics and combinatorics: the good, the bad, and the ugly Elements of the theory of unimodular Pisot substitutions with an application to ?-shifts Discrete rotations and symbolic dynamics Abstract numeration systems and tilings Tilings associated with beta-numeration and substitutions, Algebraic and topological dynamics Amer. Math. Soc., Providence, RI, 2005. [BK05 Algebraic and topological dynamicsA2, 46 pp. (electronic), 2005. [BV00] V. Berthé and L. Vuillon. Tilings and rotations on the torus: a two-dimensional generalization of Sturmian sequences. Discrete Math.BV01] V. Berthé and L. Vuillon. Palindromes and two-dimensional Sturmian sequences . J. Autom. Lang. Comb, pp.333-364, 2000.

M. Ethan, G. A. Coven, and . Hedlund, Sequences with minimal block growth, Math. Systems Theory, vol.7, pp.138-153, 1973.

N. Chekhova, P. Hubert, and A. Messaoudi, Propri??t??s combinatoires, ergodiques et arithm??tiques de la substitution de Tribonacci, Journal de Th??orie des Nombres de Bordeaux, vol.13, issue.2, pp.371-394, 2001.
DOI : 10.5802/jtnb.328

V. Canterini and A. Siegel, Automate des pr??fixes-suffixes associ?? ?? une substitution primitive, Journal de Th??orie des Nombres de Bordeaux, vol.13, issue.2, pp.353-369, 2001.
DOI : 10.5802/jtnb.327

V. Canterini and A. Siegel, Geometric representation of substitutions of Pisot type, Transactions of the American Mathematical Society, vol.353, issue.12, pp.5121-5144, 2001.
DOI : 10.1090/S0002-9947-01-02797-0

I. Debled-rennesson, J. Reveilì, H. Freemanfre74, ]. Hubert, and A. Messaoudi, Multidimensional Sturmian sequences and generalized substitutions Boundary encoding and processing Computer processing of line-drawing images Best simultaneous diophantine approximations of Pisot numbers and Rauzy fractals, Proceedings of SPIE's 3rd Conference on Vision Geometry Picture Processing and PsychopictoricsGér99] Y. Gérard. Local configurations of digital hyperplanes Proceedings of the 8th International Conference on Discrete Geometry for Computer ImageryHos92] B. Host. Représentation géométrique des substitutions sur 2 lettres. Unpublished manuscript, 1992. [HS03] M. Hollander and B. Solomyak. Two-symbol Pisot substitutions have pure discrete spectrum. Ergodic Theory Dynam. Systems, pp.12-21, 1970.

]. S. Hun85, . S. Hung, M. Ito, ]. S. Kimurair06, H. Ito et al., On the straightness of digital arcs On Rauzy fractal Atomic surfaces, tilings and coincidences I. Irreducible case Applications quasi-affines et pavages du plan discret About local configurations in arithmetic planes, IEEE Transactions on Pattern Analysis and Machine Intelligence Japan J. Indust. Appl. Math. Israel J. Math. Theoret . Comput. Sci. Theoret. Comput. Sci, vol.8, issue.2831, pp.203-215461, 1985.

D. Jamet, On the Language of Standard Discrete Planes and Surfaces, Combinatorial Image Analysis Proceedings, pp.232-247, 2004.
DOI : 10.1007/978-3-540-30503-3_18
URL : https://hal.archives-ouvertes.fr/hal-00580574

D. Jamet, Coding stepped planes and surfaces by two-dimensional sequences over a three-letter alphabet, 2005.
URL : https://hal.archives-ouvertes.fr/lirmm-00106647

D. [. Jamet, G. Jamet, C. Paquin, R. Kiselman, A. Klette et al., Discrete surfaces and infinite smooth words Convex functions on discrete sets Digital straightness-a review Algebraic combinatorics on words, volume 90 of Encyclopedia of Mathematics and its Applications, Géométrie discrète : une approche par la combinatoire des mots Proceedings of the 17th Annual International Conference on Formal Power Series and Algebraic Combinatorics Combinatorial Image Analysis Proceedings, volume 3322 of Lecture Notes in Computer ScienceLot05] M. Lothaire. Applied combinatorics on words, volume 105 of Encyclopedia of Mathematics and its ApplicationsMel05] E. Melin. Digital straight lines in the khalimsky plane Propriétés arithmétiques et dynamiques du fractal de RauzyMes00] A. Messaoudi.Frontì ere du fractal de Rauzy et système de numération complexeMes02] A. Messaoudi. Tribonacci multiplication Morse and G. A. Hedlund. Symbolic dynamicsMH40] M. Morse and G. A. Hedlund. Symbolic dynamics II. Sturmian trajectories, pp.443-457197, 1938.

J. M. Amer, E. R. Nouvel, E. Nouvel, and . Rémila, On colorations induced by discrete rotations Characterization of bijective discretized rotations, DGCI, number 2886 in LNCS International Workshop on Combinatorial Images Analysis, 10th International Conference number 3322 in LNCS, pp.1-42, 1940.

E. [. Nouvel, . Rémilapf02-]-n, ]. A. Pytheas-foggros74, . Rosenfeldrot94-]-g, and . Rote, Substitutions in dynamics Nombres algébriques et substitutions Gomtrie discrète, calcul en nombres entiers et algorithmique Digital straight lines segments Sequences with subword complexity 2n Pure discrete spectrum dynamical system and periodic tiling associated with a substitution Coexistence of tricubes in digital naive plane (n, m)-cubes and Farey nets for naive planes understanding, Configurations induced by discrete rotations: Periodicity and quasiperiodicity properties. Discrete Applied Mathematics Thèse d'tatRev95] J.-P.Reveilì es. Combinatorial pieces in digital lines and planes. In Vision geometry IV Proc. SPIE, 2573 IEEE Transactions on Computers Coplanar tricubes. In DGCI Proceedings of the 7th International Workshop on Discrete Geometry for Computer Imagery Proc. of DGCI'99VC00] J. Vittone and J.-M. Chassery. Recognition of digital naive planes and polyhedrization Proceedings of the 9th International Conference on Discrete Geometry for Computer ImageryVui99] L. Vuillon. Local configurations in a discrete plane, pp.2-3325, 1974.