. [. Franco-j.-s and . Boyer-e, An Efficient Volumetric Framework for Shape Tracking, IEEE International Conference on Computer Vision and Pattern Recognition (CVPR), 2015.

A. F. Aur91, Voronoi diagrams -a survey of a fundamental geometric data structure, ACM Computing Surveys (CSUR), vol.23, pp.345-405, 1991.

. [. Schlömer-t and . Deussen-o, Direct trimming of NURBS surfaces on the GPU, ACM Transactions on Graphics, vol.28, issue.3, pp.1-86, 2009.
DOI : 10.1145/1531326.1531353

. Cgal, Computational Geometry Algorithms Library

D. Q. Emelianenko-m, Acceleration schemes for computing centroidal voronoi tessellations, Numerical Linear Algebra with Applications, vol.13, pp.173-192, 2006.

. [. Faber-v, Centroidal voronoi tessellations: Applications and algorithms, SIAM review, vol.41, issue.2, pp.637-676, 1999.

E. H. Shah-n, Triangulating topological spaces, Proceedings of the tenth annual symposium on Computational geometry, pp.285-292, 1994.

]. For92 and . S. Fortune, Voronoi diagrams and delaunay triangulations, Computing in Euclidean geometry, vol.1, pp.193-233, 1992.

G. A. Ger79, Asymptotically optimal block quantization, IEEE Transactions on Information Theory, vol.25, pp.373-380, 1979.

. B. Lévy, Restricted voronoi diagrams for (re)-meshing surfaces and volumes, 8th International Conference on Curves and Surfaces, p.14, 2014.

L. B. Liu-y, Lp centroidal voronoi tessellation and its applications, ACM Transactions on Graphics, vol.29, issue.119, 2010.

L. S. Llo82, Least squares quantization in pcm, IEEE Transactions on Information Theory, vol.28, pp.129-137, 1982.

[. L. , S. F. Pan-h, and W. W. , Global optimization of centroidal voronoi tessellation with monte carlo approach, IEEE Transactions on Visualization and Computer Graphics, vol.18, issue.106, pp.1880-1890, 2012.

W. W. Liu-y, S. F. Lévy-b, Y. Liu-l, and Y. , On centroidal voronoi tessellation???energy smoothness and fast computation, ACM Transactions on Graphics, vol.28, issue.4, p.101, 2009.
DOI : 10.1145/1559755.1559758

M. M. Sugihara-k, A new initialization method for constructing centroidal voronoi tessellations on surface meshes, 3rd International Symposium on Voronoi Diagrams in Science and Engineering, pp.159-165, 2006.

N. D. New82, The hexagon theorem, IEEE Transactions on Information Theory, vol.28, pp.137-139, 1982.

. A. Okabe, . Boots-b, and C. S. Sugihara-k, Spatial Tessellations: Concepts and Applications of Voronoi Diagrams, 2000.

N. [. Quinn, S. F. Langbein-f, L. , W. W. , and M. R. , libLBFGS: a library of Limited-memory http://www.chokkan.org/software Improved initialisation for centroidal voronoi tessellation and optimal delaunay triangulation, Computer-Aided Design, vol.10, issue.10, pp.1062-1071, 2010.

S. I. Hodgman-g, Reentrant polygon clipping, Communications of the ACM, vol.17, pp.32-42, 1974.

S. J. She98, A condition guaranteeing the existence of higher-dimensional constrained delaunay triangulations, SCG '98 Proceedings of the fourteenth annual symposium on Computational geometry, pp.76-85, 1998.

]. She08 and . J. Shewchuk, General-dimensional constrained delaunay and constrained regular triangulations, i: Combinatorial properties, Discrete & Computational Geometry, vol.39, pp.580-637, 2008.

[. J. and A. P. Devillers-o, Interleaving delaunay refinement and optimization for 2d triangle mesh generation, Proceedings of the 16th International Meshing Roundtable, pp.83-101, 2007.

[. J. Wormser-c and A. P. Desbrun-m, Interleaving delaunay refinement and optimization for practical isotropic tetrahedron mesh generation, ACM Transactions on Graphics, vol.28, issue.4, p.75, 2009.

Y. Lévy-b, S. F. Liu-y, and W. W. , Isotropic remeshing with fast and exact computation of restricted voronoi diagram, Computer Graphics Forum, vol.28, pp.1445-1454, 2009.

[. , W. W. Lévy-b, and . Liu-y, Efficient computation of 3d clipped voronoi diagram for mesh generation, Computer-Aided Design, vol.45, issue.2 6, pp.843-852, 2013.

. [. Boyer-e and . Horaud-r, Topologyadaptive mesh deformation for surface evolution, morphing, and multi-view reconstruction, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.33, pp.823-837, 2011.