T. Asano, Y. Kawamura, R. Klette, and K. Obokata, Minimum-Length Polygons in Approximation Sausages, Proc. 4th Int. Workshop on Visual Form (IWVF4), pp.103-112, 2001.
DOI : 10.1007/3-540-45129-3_8
URL : https://researchspace.auckland.ac.nz/bitstream/2292/2700/1/CITR-TR-83.pdf

F. Brunet, Convolutions binomiales et dérivation de fonctions discrètes bruitées. Master's thesis, 2007.

L. Buzer, An Elementary Algorithm for Digital Line Recognition in the General Case, Proc. Int. Conf. Discrete Geometry for Computer Imagery (DGCI'2005), pp.299-310, 2005.
DOI : 10.1007/978-3-540-31965-8_28

V. Caselles, F. Catté, T. Coll, and F. Dibos, A geometric model for active contours in image processing, Numerische Mathematik, vol.36, issue.4, pp.1-31, 1993.
DOI : 10.1007/BF01385685

P. Ciarlet, IntroductionàIntroductionà l'analyse numérique etàetà l'optimisation. Sciences Sup, 1998.

D. Coeurjolly, Algorithmique et géométrie pour la caractérisation des courbes et des surfaces, 2002.

F. De-vieilleville and J. Lachaud, Convex shapes and convergence speed of discrete tangent estimators, Proc. Int. Symposium on Visual Computing (ISVC'2006), Lake Tahoe, Nevada, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00308337

F. De-vieilleville, J. Lachaud, and F. Feschet, Maximal Digital Straight Segments and Convergence of Discrete Geometric Estimators, Journal of Mathematical Imaging and Vision, vol.27, issue.2, pp.471-502, 2007.
DOI : 10.1007/11499145_100
URL : https://hal.archives-ouvertes.fr/hal-00308336

I. Debled-rennesson, F. Feschet, and J. Rouyer-degli, Optimal blurred segments decomposition of noisy shapes in linear time, Computers & Graphics, vol.30, issue.1, pp.30-36, 2006.
DOI : 10.1016/j.cag.2005.10.007
URL : https://hal.archives-ouvertes.fr/inria-00173228

F. Feschet and L. Tougne, Optimal Time Computation of the Tangent of a Discrete Curve: Application to the Curvature, Proc. 8th Int. Conf. Discrete Geometry for Computer Imagery (DGCI'99), number 1568 in LNCS, pp.31-40, 1999.
DOI : 10.1007/3-540-49126-0_3

S. Hermann and R. Klette, A Comparative Study on 2D Curvature Estimators, 2007 International Conference on Computing: Theory and Applications (ICCTA'07), 2006.
DOI : 10.1109/ICCTA.2007.2
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.100.6417

M. N. Huxley, Exponential sums and lattice points, Proc. London Math. Soc, pp.471-502, 1990.
DOI : 10.1112/plms/s3-60.3.471
URL : http://plms.oxfordjournals.org/cgi/content/short/s3-60/3/471

T. Kanungo, Document Degradation Models and a Methodology for Degradation Model Validation, 1996.

M. Kass, A. Witkin, and D. Terzopoulos, Snakes: Active contour models, International Journal of Computer Vision, vol.5, issue.6035, pp.321-331, 1988.
DOI : 10.1007/BF00133570

B. Kerautret and J. Lachaud, Robust Estimation of Curvature along Digital Contours with Global Optimization, Proc. 14th Int. Conf. Discrete Geometry for Computer Imagery (DGCI'2008), pp.334-345, 2008.
DOI : 10.1007/978-3-540-79126-3_30
URL : https://hal.archives-ouvertes.fr/inria-00345779

R. Klette, A. Rosenfeld, R. Klette, and J. Zuni´czuni´c, Digital Geometry -Geometric Methods for Digital Picture Analysis Multigrid convergence of calculated features in image analysis, Journal of Mathematical Imaging and Vision, vol.17, issue.13, pp.173-191, 2000.

V. Kovalevsky and S. Fuchs, Theoretical and experimental analysis of the accuracy of perimeter estimates, Proc. Robust Computer Vision, pp.218-242, 1992.

J. Lachaud, Espaces non-euclidiens et analyse d'image : modèles déformables riemanniens et discrets, topologie et géométrie discrète, 2006.

J. Lachaud, A. Vialard, and F. De-vieilleville, Analysis and Comparative Evaluation of Discrete Tangent Estimators, Proc. Int. Conf. Discrete Geometry for Computer Imagery (DGCI'2005), pp.240-251, 2005.
DOI : 10.1007/978-3-540-31965-8_23
URL : https://hal.archives-ouvertes.fr/hal-00308199

J. Lachaud, A. Vialard, and F. De-vieilleville, Fast, accurate and convergent tangent estimation on digital contours, Image and Vision Computing, vol.25, issue.10, pp.1572-1587, 2007.
DOI : 10.1016/j.imavis.2006.06.019
URL : https://hal.archives-ouvertes.fr/hal-00308196

M. Marji, On the detection of dominant points on digital planar curves, 2003.

T. P. Nguyen and I. Debled-rennesson, Curvature Estimation in Noisy Curves, Proc. CAIP, pp.474-481, 2007.
DOI : 10.1007/978-3-540-74272-2_59
URL : https://hal.archives-ouvertes.fr/hal-00184127

T. Roussillon, L. Tougne, and I. Sivignon, Computation of Binary Objects Sides Number using Discrete Geometry, Application to Automatic Pebbles Shape Analysis, 14th International Conference on Image Analysis and Processing (ICIAP 2007), 2007.
DOI : 10.1109/ICIAP.2007.4362868
URL : https://hal.archives-ouvertes.fr/hal-00185119

F. Sloboda, B. Za?tkoza?za?tko, and J. Stoer, On approximation of planar onedimensional continua, Proc. Advances in Digital and Computational Geometry, pp.113-160, 1998.