J. R. Shewchuk, What is a good linear element? interpolation, conditioning, and quality measures, IMR, pp.115-126, 2002.

P. Alliez, ´. E. Deverdì-ere, O. Devillers, and M. Isenburg, Centroidal Voronoi diagrams for isotropic surface remeshing, Graphical Models, vol.67, issue.3, pp.204-231, 2005.
DOI : 10.1016/j.gmod.2004.06.007

URL : https://hal.archives-ouvertes.fr/hal-00787166

S. Valette, J. Chassery, and R. Prost, Generic Remeshing of 3D Triangular Meshes with Metric-Dependent Discrete Voronoi Diagrams, IEEE Transactions on Visualization and Computer Graphics, vol.14, issue.2, pp.369-381, 2008.
DOI : 10.1109/TVCG.2007.70430

URL : https://hal.archives-ouvertes.fr/hal-00537025

D. Cohen-steiner, P. Alliez, and M. Desbrun, Variational shape approximation, ACM Transactions on Graphics, vol.23, issue.3, pp.905-914, 2004.
DOI : 10.1145/1015706.1015817

URL : https://hal.archives-ouvertes.fr/inria-00070632

M. Mandad, D. Cohen-steiner, and P. Alliez, Isotopic approximation within a tolerance volume, ACM Transactions on Graphics, vol.34, issue.4, pp.1-6412, 2015.
DOI : 10.1145/781606.781627

URL : https://hal.archives-ouvertes.fr/hal-01186074

P. Alliez, M. Meyer, and M. Desbrun, Interactive geometry remeshing, ACM Trans. Graph, vol.21, issue.3, pp.347-354, 2002.
DOI : 10.1145/566570.566588

URL : http://authors.library.caltech.edu/66218/2/AMD02.pdf

D. Yan, B. Lévy, Y. Liu, F. Sun, and W. Wang, Isotropic Remeshing with Fast and Exact Computation of Restricted Voronoi Diagram, Computer Graphics Forum, vol.14, issue.2, pp.1445-1454, 2009.
DOI : 10.1145/1073204.1073238

URL : https://hal.archives-ouvertes.fr/inria-00547790

D. Yan and P. Wonka, Gap processing for adaptive maximal poisson-disk sampling, ACM Transactions on Graphics, vol.32, issue.5, pp.1-14815, 2013.
DOI : 10.1145/2516971.2516973

URL : http://arxiv.org/pdf/1211.3297

H. Hoppe, T. Derose, T. Duchamp, J. Mcdonald, and W. Stuetzle, Mesh optimization, Proceedings of the 20th annual conference on Computer graphics and interactive techniques , SIGGRAPH '93, pp.19-26, 1993.
DOI : 10.1145/166117.166119

M. Botsch and L. Kobbelt, A remeshing approach to multiresolution modeling, Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing , SGP '04, pp.185-192, 2004.
DOI : 10.1145/1057432.1057457

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.3.5346

P. Alliez, G. Ucelli, C. Gotsman, and M. Attene, Recent Advances in Remeshing of Surfaces, Shape Analysis and Structuring, Mathematics and Visualization, pp.53-82, 2008.
DOI : 10.1007/978-3-540-33265-7_2

Q. Du, V. Faber, and M. Gunzburger, Centroidal Voronoi Tessellations: Applications and Algorithms, Shape Modeling International, pp.637-676, 1999.
DOI : 10.1137/S0036144599352836

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.407.146

V. Surazhsky, P. Alliez, and C. Gotsman, Isotropic remeshing of surfaces: A local parameterization approach, IMR, pp.215-224, 2003.
URL : https://hal.archives-ouvertes.fr/inria-00071612

V. Surazhsky and C. Gotsman, Explicit surface remeshing, Symposium on Geometry Processing, ser. ACM International Conference Proceeding Series, pp.20-30, 2003.

S. Fuhrmann, J. Ackermann, T. Kalbe, and M. Goesele, Direct resampling for isotropic surface remeshing, VMV, pp.9-16, 2010.

J. Vorsatz, C. , and H. Seidel, Dynamic Remeshing and Applications, Journal of Computing and Information Science in Engineering, vol.3, issue.4, pp.338-344, 2003.
DOI : 10.1115/1.1631021

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.164.3421

D. Yan, G. Bao, X. Zhang, and P. Wonka, Low-Resolution Remeshing Using the Localized Restricted Voronoi Diagram, IEEE Transactions on Visualization and Computer Graphics, vol.20, issue.10, pp.1418-1427, 2014.
DOI : 10.1109/TVCG.2014.2330574

D. Yan and P. Wonka, Non-Obtuse Remeshing with Centroidal Voronoi Tessellation, IEEE Transactions on Visualization and Computer Graphics, vol.22, issue.9, pp.2136-2144, 2016.
DOI : 10.1109/TVCG.2015.2505279

URL : http://repository.kaust.edu.sa/kaust/bitstream/10754/583281/1/07346512.pdf

J. Guo, D. Yan, X. Jia, and X. Zhang, Efficient maximal Poisson-disk sampling and remeshing on surfaces, Computers & Graphics, vol.46, pp.72-79, 2015.
DOI : 10.1016/j.cag.2014.09.015

D. Yan, J. Guo, X. Jia, X. Zhang, and P. Wonka, Blue-Noise Remeshing with Farthest Point Optimization, Computer Graphics Forum, vol.32, issue.5, pp.167-176, 2014.
DOI : 10.1145/2516971.2516973

A. G. Ahmed, J. Guo, D. Yan, X. Zhang, and O. Deussen, A Simple Push-Pull Algorithm for Blue-Noise Sampling, IEEE Transactions on Visualization and Computer Graphics, 2016.
DOI : 10.1109/TVCG.2016.2641963

P. Frey and P. George, Mesh generation, application to finite elements, Hermès Science Publ, p.814, 2000.

R. Narain, A. Samii, and J. F. O-'brien, Adaptive anisotropic remeshing for cloth simulation, ACM Transactions on Graphics, vol.31, issue.6, p.152, 2012.
DOI : 10.1145/2366145.2366171

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.259.19

M. Dunyach, D. Vanderhaeghe, L. Barthe, and M. Botsch, Adaptive remeshing for real-time mesh deformation Eurographics short papers, Eurographics Association, pp.29-32, 2013.

S. A. Lloyd, Least squares quantization in PCM, IEEE Transactions on Information Theory, vol.28, issue.2, pp.129-137, 1982.
DOI : 10.1109/TIT.1982.1056489

URL : http://www.cs.toronto.edu/~roweis/csc2515-2006/readings/lloyd57.pdf

M. Garland and P. S. Heckbert, Surface simplification using quadric error metrics, Proceedings of the 24th annual conference on Computer graphics and interactive techniques , SIGGRAPH '97, pp.209-216, 1997.
DOI : 10.1145/258734.258849

URL : http://cdserver.icemt.iastate.edu/cd/s97cp/contents/papers/garland/quadrics.pdf

H. Borouchaki and P. Frey, Simplification of surface mesh using Hausdorff envelope, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.48-49, pp.4864-4884, 2005.
DOI : 10.1016/j.cma.2004.11.016

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.109.5136

Y. Sun, D. L. Page, J. K. Paik, A. Koschan, and M. A. Abidi, Triangle mesh-based edge detection and its application to surface segmentation and adaptive surface smoothing, Proceedings. International Conference on Image Processing, pp.825-828, 2002.
DOI : 10.1109/ICIP.2002.1039099

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.11.8673

X. Jiao and M. T. Heath, Feature detection for surface meshes, Proceedings of 8th international conference on numerical grid generation in computational field simulations, pp.705-714, 2002.

J. Chen, X. Ge, L. Wei, B. Wang, Y. Wang et al., Bilateral blue noise sampling, ACM Transactions on Graphics, vol.32, issue.6, pp.2161-21611, 2013.
DOI : 10.1145/2508363.2508375

URL : https://hal.archives-ouvertes.fr/hal-00920673

Z. Zhong, X. Guo, W. Wang, B. Lévy, F. Sun et al., Particle-based anisotropic surface meshing, ACM Transactions on Graphics, vol.32, issue.4, p.99, 2013.
DOI : 10.1145/2461912.2461946

URL : https://hal.archives-ouvertes.fr/hal-00930147

L. Kobbelt and M. Botsch, Feature sensitive mesh processing, Proceedings of the 18th spring conference on Computer graphics , SCCG '03, pp.17-22, 2003.
DOI : 10.1145/984952.984956

B. Lévy and Y. Liu, Lp centroidal Voronoi tessellation and its applications Feature sensitive remeshing, ACM Transactions on Graphics Comput. Graph. Forum, vol.29, issue.20 3, pp.1-11, 2001.

W. Jakob, M. Tarini, D. Panozzo, and O. Sorkine-hornung, Instant field-aligned meshes, Proceedings of SIGGRAPH ASIA), 2015.
DOI : 10.1145/133994.134008

M. C. Rivara, New mathematical tools and techniques for the refinement and/or improvement of unstructured triangulations, IMR, pp.77-86, 1996.

H. Edelsbrunner, Geometry and topology for mesh generation, 2006.
DOI : 10.1115/1.1445302

J. Henrikson, Completeness and total boundedness of the hausdorff metric, MIT Undergraduate Journal of Mathematics, vol.1, pp.69-80, 1999.

M. Tang, M. Lee, and Y. J. Kim, Interactive Hausdorff distance computation for general polygonal models, ACM Trans. Graph, vol.28, issue.3, 2009.
DOI : 10.1145/1531326.1531380

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.501.4150

J. Tournois, P. Alliez, and O. Devillers, 2D Centroidal Voronoi Tessellations with Constraints, Numerical Mathematics: Theory, Methods and Applications, vol.3, issue.2, pp.212-222, 2010.
DOI : 10.4208/nmtma.2010.32s.6

URL : https://hal.archives-ouvertes.fr/inria-00523812

P. Alliez, S. Tayeb, and C. Wormser, 3D fast intersection and distance computation, CGAL User and Reference Manual. CGAL Editorial Board, 2016.

T. Winkler, K. Hormann, and C. Gotsman, Mesh massage, The Visual Computer, vol.23, issue.3, pp.775-785, 2008.
DOI : 10.1080/10586458.1993.10504266

T. S. Motzkin and J. L. Walsh, Polynomials of best approximation on a real finite point set. I, Transactions of the American Mathematical Society, vol.91, issue.2, pp.231-245, 1959.
DOI : 10.1090/S0002-9947-1959-0108673-9

C. Lawson, Contributions to the Theory of Linear Least Maximum Approximation, UCLA?Mathematics, 1961.

P. Cignoni, C. Rocchini, and R. Scopigno, Metro: Measuring Error on Simplified Surfaces, Computer Graphics Forum, pp.167-174, 1998.
DOI : 10.1111/1467-8659.00236

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.95.9740

P. J. Frey and H. Borouchaki, Surface mesh evaluation, IMR, pp.363-374, 1997.
DOI : 10.1002/(sici)1097-0207(19990510)45:1<101::aid-nme582>3.3.co;2-w

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.117.8455