L. V. Ahlfors, Complex analysis, an introduction to the theory of analytic functions of one complex variable, International Series in Pure and Applied Mathematics, 1978.

A. I. Bobenko, P. Schröder, J. M. Sullivan, and G. M. Ziegler, Discrete differential geometry, Oberwolfach Seminars papers from the seminar held in Oberwolfach, 2004.

U. Clarenz, N. Litke, and M. Rumpf, Axioms and variational problems in surface parameterization, Computer Aided Geometric Design, vol.21, issue.8, pp.727-749, 2004.
DOI : 10.1016/j.cagd.2004.07.005

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.1.3356

M. Desbrun, M. Meyer, and P. Alliez, Intrinsic Parameterizations of Surface Meshes, Computer Graphics Forum, vol.72, issue.1, pp.209-218, 2002.
DOI : 10.1007/978-94-009-0053-0_15

H. Esbelin and R. Malgouyres, Convergence of Binomial-Based Derivative Estimation for C 2 Noisy Discretized Curves, pp.57-66, 2009.
DOI : 10.1007/978-3-540-79126-3_33

M. Floater, Mean value coordinates, Computer Aided Geometric Design, vol.20, issue.1, pp.19-27, 2003.
DOI : 10.1016/S0167-8396(03)00002-5

S. Fourey and R. Malgouyres, Normals estimation for digital surfaces based on convolutions, Computers & Graphics, vol.33, issue.1, pp.2-10, 2009.
DOI : 10.1016/j.cag.2008.11.003

URL : https://hal.archives-ouvertes.fr/hal-00333772

X. D. Gu and S. T. Yau, Computational conformal geometry, with 1 CD-ROM (Windows, Macintosh and Linux, 2008.

L. Kharevych, B. Springborn, and P. Schröder, Discrete conformal mappings via circle patterns, ACM Transactions on Graphics (TOG), vol.25, issue.2, p.438, 2006.
DOI : 10.1145/1198555.1198665

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.309.391

A. Lenoir, Fast estimation of mean curvature on the surface of a 3D discrete object, pp.175-186, 1997.
DOI : 10.1007/BFb0024839

B. Lévy, S. Petitjean, N. Ray, and J. Maillot, Least squares conformal maps for automatic texture atlas generation, ACM Transactions on Graphics, vol.21, issue.3, pp.362-371, 2002.

D. Liu and J. Nocedal, On the limited memory BFGS method for large scale optimization, Mathematical Programming, vol.32, issue.2, pp.503-528, 1989.
DOI : 10.1007/BF01589116

C. Mercat, Discrete Riemann Surfaces and the Ising Model, Communications in Mathematical Physics, vol.218, issue.1, pp.177-216, 2001.
DOI : 10.1007/s002200000348

URL : https://hal.archives-ouvertes.fr/hal-00418532

C. Mercat, Discrete Complex Structure on Surfel Surfaces, pp.153-164, 2008.
DOI : 10.1007/978-3-540-79126-3_15

URL : https://hal.archives-ouvertes.fr/hal-00250975

P. Mullen, Y. Tong, P. Alliez, and M. Desbrun, Spectral Conformal Parameterization, Computer Graphics Forum, vol.8, issue.2, pp.1487-1494, 2008.
DOI : 10.1145/1360612.1360676

URL : https://hal.archives-ouvertes.fr/inria-00334477

J. Nocedal, Updating quasi-Newton matrices with limited storage, Mathematics of Computation, vol.35, issue.151, pp.773-782, 1980.
DOI : 10.1090/S0025-5718-1980-0572855-7

URL : http://www.ams.org/mcom/1980-35-151/S0025-5718-1980-0572855-7/S0025-5718-1980-0572855-7.pdf

U. Pinkall and K. Polthier, Computing Discrete Minimal Surfaces and Their Conjugates, Experimental Mathematics, vol.3, issue.1, pp.15-36, 1993.
DOI : 10.1007/BF01386035

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.17.6708

A. Sheffer and E. De-sturler, Parameterization of Faceted Surfaces for Meshing using Angle-Based Flattening, Engineering With Computers, vol.17, issue.3, pp.326-337, 2001.
DOI : 10.1007/PL00013391

W. Tutte, Convex Representations of Graphs, Proceedings of the London Mathematical Society, vol.3, issue.1, p.304, 1960.
DOI : 10.1112/plms/s3-10.1.304

E. Wegert, Nonlinear Riemann-Hilbert problems?history and perspectives In: Computational methods and function theory 1997, Approx. Decompos . World Sci. Publ. NJ, vol.11, pp.583-615, 1999.