A. Yilmaz, O. Javed, and M. Shah, Object tracking, ACM Computing Surveys, vol.38, issue.4, pp.1-45, 2006.
DOI : 10.1145/1177352.1177355

B. Zitová and J. Flusser, Image registration methods: a survey, Image and Vision Computing, vol.21, issue.11, pp.977-1000, 2003.
DOI : 10.1016/S0262-8856(03)00137-9

E. Andres, The Quasi-Shear rotation, Lecture Notes in Computer Science, vol.1176, pp.307-314, 1996.
DOI : 10.1007/3-540-62005-2_26

D. Coeurjolly, V. Blot, and M. Col, Quasi-Affine Transformation in 3-D: Theory and Algorithms, International Workshop on Combinatorial Image Analysis, IWCIA, Proceedings, Lecture Notes in Computer Science, pp.68-81, 2009.
DOI : 10.1007/978-3-642-10210-3_6
URL : https://hal.archives-ouvertes.fr/hal-01092500

C. Hundt, M. Li´skiewiczli´skiewicz, and N. Ragnar, A combinatorial geometrical approach to two-dimensional robust pattern matching with scaling and rotation, Theoretical Computer Science, vol.410, issue.51, pp.5317-5333, 2009.
DOI : 10.1016/j.tcs.2009.09.009

C. Hundt and M. Li´skiewiczli´skiewicz, On the Complexity of Affine Image Matching, Symposium on Theoretical Aspects of Computer Science, STACS, Proceedings, pp.284-295, 2007.
DOI : 10.1007/978-3-540-70918-3_25

C. Hundt, Affine Image Matching Is Uniform ${\text{\rm TC}^0}$ -Complete, Combinatorial Pattern Matching, CPM, Proceedings, pp.13-25, 2010.
DOI : 10.1007/978-3-642-13509-5_2

C. Hundt and M. Li´skiewiczli´skiewicz, Combinatorial Bounds and Algorithmic Aspects of Image Matching under Projective Transformations, Mathematical Foundations of Computer Science, MFCS, Proceedings, pp.395-406, 2008.
DOI : 10.1007/978-3-540-85238-4_32

A. Amir, O. Kapah, and D. Tsur, Faster two-dimensional pattern matching with rotations, Theoretical Computer Science, vol.368, issue.3, pp.196-204, 2006.
DOI : 10.1016/j.tcs.2006.09.012

Y. Thibault, Rotations in 2D and 3D discrete spaces, 2010.
URL : https://hal.archives-ouvertes.fr/tel-00596947

A. Amir, G. M. Landau, and U. Vishkin, Efficient pattern matching with scaling, Journal of Algorithms, vol.13, issue.1, pp.2-32, 1992.
DOI : 10.1016/0196-6774(92)90003-U

A. Amir, A. Butman, M. Lewenstein, and E. Porat, Real Two Dimensional Scaled Matching, Algorithmica, vol.14, issue.5, pp.314-336, 2009.
DOI : 10.1007/s00453-007-9021-x

V. A. Kovalevsky, Finite topology as applied to image analysis, Computer Vision, Graphics, and Image Processing, vol.46, issue.2, pp.141-161, 1989.
DOI : 10.1016/0734-189X(89)90165-5

T. Y. Kong and A. Rosenfeld, Digital Topology, Graphics & Image Processing, vol.48, issue.3, pp.357-393, 1989.
DOI : 10.1007/978-1-4615-1529-6_3

M. Sharir, Recent Developments in the Theory of Arrangements of Surfaces, FSTTCS, Proceedings Lecture Notes in Computer Science, vol.1738, pp.1-21, 1999.
DOI : 10.1007/3-540-46691-6_1

J. Snoeyink and J. Hershberger, Sweeping arrangements of curves, Proceedings of the fifth annual symposium on Computational geometry , SCG '89, pp.354-363, 1989.
DOI : 10.1145/73833.73872

K. H. Rosen, Elementary Number Theory and its Applications, 1992.

P. Flajolet and B. Vallée, Continued fractions, comparison algorithms, and fine structure constants, Tech. Rep, vol.4072, p.INRIA, 2000.
URL : https://hal.archives-ouvertes.fr/inria-00072561

A. Buades, B. Coll, and J. M. , A Review of Image Denoising Algorithms, with a New One, Multiscale Modeling & Simulation, vol.4, issue.2, pp.490-530, 2005.
DOI : 10.1137/040616024
URL : https://hal.archives-ouvertes.fr/hal-00271141

X. Pennec, N. Ayache, and J. Thirion, Landmark-based registration using features identified through differential geometry, Handbook of Medical Imaging, pp.31-499, 2000.
URL : https://hal.archives-ouvertes.fr/inria-00615106

K. Fredriksson and E. Ukkonen, Combinatorial methods for approximate pattern matching under rotations and translations in 3D arrays, Proceedings Seventh International Symposium on String Processing and Information Retrieval. SPIRE 2000, pp.96-104, 2000.
DOI : 10.1109/SPIRE.2000.878184

E. V. Podsypanin, Length of the period of a quadratic irrational, Journal of Soviet Mathematics, vol.76, issue.No. 4, pp.919-923, 1982.
DOI : 10.1007/BF01763963