<bibliography>
 <citation type="article" key="bn">
  <author>D. Beauquier</author>
  <author>M. Nivat</author>
  <year>1991</year>
  <title>On translating one polyomino to tile the plane</title>
  <journal>Discrete Comput. Geom.</journal>
  <volume>6</volume>
  <number>6</number>
  <pages>575&#8211;592</pages>
  <doi>10.1007/BF02574705</doi>
 </citation>
 <citation type="book" key="BrMoPa05">
  <author>Peter Brass</author>
  <author>William Moser</author>
  <author>J&#225;nos Pach</author>
  <year>2005</year>
  <title>Research problems in discrete geometry</title>
  <publisher>Springer</publisher>
  <address>New York</address>
 </citation>
 <citation type="article" key="bll2">
  <author>S. Brlek</author>
  <author>G. Labelle</author>
  <author>A. Lacasse</author>
  <year>2005</year>
  <title>Algorithms for polyominoes based on the discrete Green theorem</title>
  <journal>Discrete Appl. Math.</journal>
  <volume>147</volume>
  <number>2-3</number>
  <pages>187&#8211;205</pages>
  <doi>10.1016/j.dam.2004.09.011</doi>
 </citation>
 <citation type="inproceedings" key="bll5">
  <author>S. Brlek</author>
  <author>G. Labelle</author>
  <author>A. Lacasse</author>
  <year>2005</year>
  <title>A note on a result of Daurat and Nivat</title>
  <editor>C. de Felice</editor>
  <editor>A. Restivo</editor>
  <booktitle>Proc. DLT 2005, 9-th Int. Conf. on Developments in Language Theory, Palermo, Italia, 4&#8211;8</booktitle>
  <series>LNCS</series>
  <volume>3572</volume>
  <publisher>Springer-Verlag</publisher>
  <pages>189&#8211;198</pages>
 </citation>
 <citation type="article" key="bll6">
  <author>S. Brlek</author>
  <author>G. Labelle</author>
  <author>A. Lacasse</author>
  <year>2006</year>
  <title>Properties of the contour path of discrete sets</title>
  <journal>Internat. J. Found. Comput. Sci.</journal>
  <volume>17</volume>
  <number>3</number>
  <pages>543&#8211;556</pages>
  <doi>10.1142/S012905410600398X</doi>
 </citation>
 <citation type="inproceedings" key="bll3">
  <author>S. Brlek</author>
  <author>G. Labelle</author>
  <author>A. Lacasse</author>
  <year>2006</year>
  <title>Shuffle operations on lattice paths</title>
  <editor>M.Rigo</editor>
  <booktitle>Proc. CANT2006, Int. School and Conf. on Combinatorics, Automata and Number theory, Li&#232;ge, Belgium, 8&#8211;19</booktitle>
  <publisher>University of Li&#232;ge</publisher>
 </citation>
 <citation type="article" key="blpr">
  <author>S. Brlek</author>
  <author>J.-O. Lachaud</author>
  <author>X. Proven&#231;al</author>
  <author>C. Reutenauer</author>
  <year>2009</year>
  <title>Lyndon + Christoffel = digitally convex</title>
  <journal>Pattern Recognition</journal>
  <volume>42</volume>
  <number>10</number>
  <pages>2239 &#8211; 2246</pages>
  <doi>10.1016/j.patcog.2008.11.010</doi>
 </citation>
 <citation type="article" key="bpfDAM">
  <author>S. Brlek</author>
  <author>X. Proven&#231;al</author>
  <author>Jean-Marc F&#233;dou</author>
  <year>2009</year>
  <title>On the tiling by translation problem</title>
  <journal>Discrete Appl. Math.</journal>
  <volume>157</volume>
  <number>3</number>
  <pages>464&#8211;475</pages>
  <doi>10.1016/j.dam.2008.05.026</doi>
 </citation>
 <citation type="inproceedings" key="BKPproc">
  <author>Srecko Brlek</author>
  <author>Michel Koskas</author>
  <author>Xavier Proven&#231;al</author>
  <year>2009</year>
  <title>A Linear Time and Space Algorithm for Detecting Path Intersection</title>
  <editor>Sre&#x10d;ko Brlek</editor>
  <editor>Christophe Reutenauer</editor>
  <editor>Xavier Proven&#231;al</editor>
  <booktitle>Proc. DGCI 2009, 15th IAPR Int. Conf. on Discrete Geometry for Computer Imagery, Montr&#233;al, Canada</booktitle>
  <series>LNCS</series>
  <volume>5810</volume>
  <publisher>Springer</publisher>
  <pages>397&#8211;408</pages>
 </citation>
 <citation type="article" key="BKP">
  <author>Srecko Brlek</author>
  <author>Michel Koskas</author>
  <author>Xavier Proven&#231;al</author>
  <year>2011</year>
  <title>A linear time and space algorithm for detecting path intersection in Z^d</title>
  <journal>Theoretical Computer Science</journal>
  <volume>412</volume>
  <number>36</number>
  <pages>4841 &#8211; 4850</pages>
  <doi>10.1016/j.tcs.2011.04.019</doi>
 </citation>
 <citation type="inproceedings" key="bp">
  <author>Sre&#x10d;ko Brlek</author>
  <author>Xavier Proven&#231;al</author>
  <year>2006</year>
  <title>On the problem of deciding if a polyomino tiles the plane by translation</title>
  <editor>Jan Holub</editor>
  <editor>Jan &#379;d&#225;rek</editor>
  <booktitle>Proceedings of the Prague Stringology Conference '06</booktitle>
  <series>ISBN80-01-03533-6</series>
  <publisher>Czech Technical University in Prague</publisher>
  <address>Prague, Czech Republic</address>
  <pages>65&#8211;76</pages>
 </citation>
 <citation type="inproceedings" key="blpdgci08">
  <author>Sre&#x10d;ko Brlek</author>
  <author>Jacques-Olivier Lachaud</author>
  <author>Xavier Proven&#231;al</author>
  <year>2008</year>
  <title>Combinatorial view of digital convexity</title>
  <editor>David Coeurjolly</editor>
  <editor>Isabelle Sivignon</editor>
  <editor>Laure Tougne</editor>
  <editor>Florent Dupont</editor>
  <booktitle>Proc. DGCI 2008, 14th IAPR Int. Conf. on Discrete Geometry for Computer Imagery, Lyon, France</booktitle>
  <series>LNCS</series>
  <volume>4992</volume>
  <publisher>Springer</publisher>
  <pages>57&#8211;68</pages>
 </citation>
 <citation type="inproceedings" key="bpdgci06">
  <author>Sre&#x10d;ko Brlek</author>
  <author>Xavier Proven&#231;al</author>
  <year>2006</year>
  <title>An Optimal Algorithm for Detecting Pseudo-squares.</title>
  <editor>Attila Kuba</editor>
  <editor>L&#225;szl&#243; G. Ny&#250;l</editor>
  <editor>K&#225;lm&#225;n Pal&#225;gyi</editor>
  <booktitle>Proc. DGCI 2006, 13th IAPR Int. Conf. on Discrete Geometry for Computer Imagery, Szeged, Hungary, October 25-27, 2006, Proceedings</booktitle>
  <series>LNCS</series>
  <volume>4245</volume>
  <publisher>Springer</publisher>
  <pages>403&#8211;412</pages>
 </citation>
 <citation type="book" key="CroHanLec">
  <author>Maxime Crochemore</author>
  <author>Christophe Hancart</author>
  <author>Thierry Lecroq</author>
  <year>2007</year>
  <title>Algorithms on strings</title>
  <publisher>Cambridge University Press</publisher>
  <address>Cambridge</address>
  <doi>10.1017/CBO9780511546853</doi>
 </citation>
 <citation type="inproceedings" key="dauniv">
  <author>A. Daurat</author>
  <author>M. Nivat</author>
  <year>2003</year>
  <title>Salient and Reentrant Points of Discrete Sets</title>
  <editor>A. del Lungo</editor>
  <editor>V. di Gesu</editor>
  <editor>A. Kuba</editor>
  <booktitle>Proc. IWCIA'03, Int. Workshop on Combinatorial Image Analysis</booktitle>
  <series>Electronic Notes in Discrete Mathematics</series>
  <volume>12</volume>
  <publisher>Elsevier Science</publisher>
  <address>Palermo, Italia</address>
  <pages>208&#8211;219</pages>
 </citation>
 <citation type="article" key="Duv">
  <author>Jean-Pierre Duval</author>
  <year>1983</year>
  <title>Factorizing words over an ordered alphabet</title>
  <journal>J. Algorithms</journal>
  <volume>4</volume>
  <number>4</number>
  <pages>363&#8211;381</pages>
 </citation>
 <citation type="book" key="GrSh1">
  <author>Branko Gr&#252;nbaum</author>
  <author>G. C. Shephard</author>
  <year>1987</year>
  <title>Tilings and patterns</title>
  <publisher>W. H. Freeman and Company</publisher>
  <address>New York</address>
 </citation>
 <citation type="article" key="KleRo">
  <author>Reinhard Klette</author>
  <author>Azriel Rosenfeld</author>
  <year>2004</year>
  <title>Digital straightness&#8212;a review</title>
  <journal>Discrete Appl. Math.</journal>
  <volume>139</volume>
  <number>1-3</number>
  <pages>197&#8211;230</pages>
  <doi>10.1016/j.dam.2002.12.001</doi>
 </citation>
 <citation type="book" key="knuth3">
  <author>Donald E. Knuth</author>
  <year>1973</year>
  <title>The art of computer programming. Volume 3</title>
  <publisher>Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont.</publisher>
 </citation>
 <citation type="book" key="lothaire1">
  <author>M. Lothaire</author>
  <year>1997</year>
  <title>Combinatorics on words</title>
  <series>Cambridge Mathematical Library</series>
  <publisher>Cambridge University Press</publisher>
  <address>Cambridge</address>
  <doi>10.1017/CBO9780511566097</doi>
 </citation>
 <citation type="book" key="lothaire2">
  <author>M. Lothaire</author>
  <year>2002</year>
  <title>Algebraic combinatorics on words</title>
  <series>Encyclopedia of Mathematics and its Applications</series>
  <volume>90</volume>
  <publisher>Cambridge University Press</publisher>
  <address>Cambridge</address>
 </citation>
 <citation type="book" key="lothaire3">
  <author>M. Lothaire</author>
  <year>2005</year>
  <title>Applied combinatorics on words</title>
  <series>Encyclopedia of Mathematics and its Applications</series>
  <volume>105</volume>
  <publisher>Cambridge University Press</publisher>
  <address>Cambridge</address>
 </citation>
 <citation type="article" key="freeman1">
  <author>Stanislaw Malo&#x148;</author>
  <author>Herbert Freeman</author>
  <year>1961</year>
  <title>On the encoding of arbitrary geometric configurations</title>
  <journal>IRE Trans.</journal>
  <volume>EC-10</volume>
  <pages>260&#8211;268</pages>
 </citation>
 <citation type="inproceedings" key="bbgl09">
  <author>A. Blondin Mass&#233;</author>
  <author>S. Brlek</author>
  <author>A. Garon</author>
  <author>S. Labb&#233;</author>
  <year>2009</year>
  <title>Christoffel and Fibonacci Tiles</title>
  <editor>S. Brlek</editor>
  <editor>X. Proven&#231;al</editor>
  <editor>C. Reutenauer</editor>
  <booktitle>Proc. DGCI 2009, 15th IAPR Int. Conf. on Discrete Geometry for Computer Imagery</booktitle>
  <series>LNCS</series>
  <volume>5810</volume>
  <publisher>Springer-Verlag</publisher>
  <address>Montr&#195;\IeC al, Canada</address>
  <pages>67&#8211;78</pages>
 </citation>
 <citation type="inproceedings" key="bbgl09-2">
  <author>A. Blondin Mass&#233;</author>
  <author>S. Brlek</author>
  <author>A. Garon</author>
  <author>S. Labb&#233;</author>
  <year>2009</year>
  <title>Palindromes and local periodicity</title>
  <booktitle>Words 2009, 7th Int. Conf. on Words</booktitle>
  <note>Electronic proceedings</note>
 </citation>
 <citation type="inproceedings" key="bbgl10">
  <author>A. Blondin Mass&#233;</author>
  <author>S. Brlek</author>
  <author>A. Garon</author>
  <author>S. Labb&#233;</author>
  <year>2011</year>
  <title>Every polyomino yields at most two square tilings</title>
  <booktitle>Lattice Paths 2010, 7th Int. Conf. on Lattice paths combinatorics and applications, July 4&#8211;7, 2011, Siena, Italy</booktitle>
  <pages>57&#8211;61</pages>
 </citation>
 <citation type="unpublished" key="bbl11">
  <author>A. Blondin Mass&#233;</author>
  <author>S. Brlek</author>
  <author>S. Labb&#233;</author>
  <title>A square tile fills the plane by translation in at most two distinct ways</title>
  <note>Submitted to Discrete Appl. Math.</note>
 </citation>
 <citation type="unpublished" key="bblmf">
  <author>A. Blondin Mass&#233;</author>
  <author>S. Brlek</author>
  <author>S. Labb&#233;</author>
  <author>M. Mend&#232;s France</author>
  <title>Fibonacci snowflakes</title>
  <note>To appear in Annales des Sciences Math&#233;matiques du Qu&#233;bec</note>
 </citation>
 <citation type="article" key="bbgl11-2">
  <author>A. Blondin Mass&#233;</author>
  <author>S. Brlek</author>
  <author>A. Garon</author>
  <author>S. Labb&#233;</author>
  <year>2011</year>
  <title>Equations on palindromes and circular words</title>
  <journal>Theoretical Computer Science</journal>
  <volume>412</volume>
  <number>27</number>
  <pages>2922 &#8211; 2930</pages>
  <doi>10.1016/j.tcs.2010.07.005</doi>
 </citation>
 <citation type="article" key="Prov11">
  <author>Xavier Proven&#231;al</author>
  <year>2011</year>
  <title>Minimal non-convex words</title>
  <journal>Theoretical Computer Science</journal>
  <volume>412</volume>
  <number>27</number>
  <pages>3002 &#8211; 3009</pages>
  <doi>10.1016/j.tcs.2010.06.025</doi>
 </citation>
 <citation type="book" key="Reu">
  <author>Christophe Reutenauer</author>
  <year>1993</year>
  <title>Free Lie algebras</title>
  <series>London Mathematical Society Monographs. New Series</series>
  <volume>7</volume>
  <publisher>The Clarendon Press Oxford University Press</publisher>
  <address>New York</address>
 </citation>
 <citation type="article" key="doris80">
  <author>Doris Schattschneider</author>
  <year>1980</year>
  <title>Will it tile? Try the Conway criterion!</title>
  <journal>Math. Mag.</journal>
  <volume>53</volume>
  <number>4</number>
  <pages>224&#8211;233</pages>
  <doi>10.2307/2689617</doi>
 </citation>
 <citation type="article" key="Wi">
  <author>H. A. G. Wijshoff</author>
  <author>J. van Leeuwen</author>
  <year>1984</year>
  <title>Arbitrary versus periodic storage schemes and tessellations of the plane using one type of polyomino</title>
  <journal>Inform. and Control</journal>
  <volume>62</volume>
  <number>1</number>
  <pages>1&#8211;25</pages>
  <doi>10.1016/S0019-9958(84)80007-8</doi>
 </citation>
</bibliography>
