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

P. Alliez, E. C. Verdì-ere, O. Devillers, and M. Isenburg, Isotropic surface remeshing, 2003 Shape Modeling International., p.49, 2003.
DOI : 10.1109/SMI.2003.1199601
URL : https://hal.archives-ouvertes.fr/inria-00413144

J. Arvo, Stratified sampling of spherical triangles, Proceedings of the 22nd annual conference on Computer graphics and interactive techniques , SIGGRAPH '95, pp.437-438, 1995.
DOI : 10.1145/218380.218500

J. Arvo, Stratified sampling of 2-manifolds, Course Notes, vol.29, issue.2, 2001.

M. Balzer and D. Heck, Capacity-constrained Voronoi diagrams in finite spaces, Proceedings of the 5th Annual International Symposium on Voronoi Diagrams in Science and Engineering, pp.44-56, 2008.

M. Balzer, T. Schlömer, and O. Deussen, Capacity-constrained point distributions: A variant of Lloyd's method, ACM Trans. on Graphics, vol.2886, issue.3, pp.1-8, 2009.

M. S. Bartlett, An Introduction to Stochastic Processes, with Special Reference to Methods and Applications, 1978.

J. Bowers, R. Wang, L. Wei, and D. Maletz, Parallel Poisson disk sampling with spectrum analysis on surfaces, Proc. SIGGRAPH Asia '10, pp.1-16610, 2010.

L. Brandolini, L. Colzani, and A. Torlaschi, Mean square decay of Fourier transforms in Euclidean and non Euclidean spaces, Tohoku Mathematical Journal, vol.53, issue.3, pp.53467-478, 2001.
DOI : 10.2748/tmj/1178207421

J. S. Brauchart and P. J. Grabner, Distributing many points on spheres: minimal energy and designs. ArXiv e-prints, 2014.

R. Bridson, Fast Poisson disk sampling in arbitrary dimensions, ACM SIGGRAPH 2007 sketches on, SIGGRAPH '07, 2007.
DOI : 10.1145/1278780.1278807

Z. Chen, Z. Yuan, Y. K. Choi, L. Liu, and W. Wang, Variational Blue Noise Sampling, IEEE Transactions on Visualization and Computer Graphics, vol.18, issue.10, pp.1784-1796, 2012.
DOI : 10.1109/TVCG.2012.94

C. Choirat and R. Seri, Computational aspects of Cui-Freeden statistics for equidistribution on the sphere, Mathematics of Computation, vol.82, issue.284, pp.2137-2156, 2013.
DOI : 10.1090/S0025-5718-2013-02698-1

D. Cline, S. Jeschke, K. White, A. Razdan, and P. Wonka, Dart Throwing on Surfaces, Proc. EGSR '09, pp.1217-1226, 2009.
DOI : 10.1111/j.1467-8659.2009.01499.x

M. F. Cohen, J. Shade, S. Hiller, and O. Deussen, Wang tiles for image and texture generation, ACM SIGGRAPH 2003 Papers, pp.287-294, 2003.

R. L. Cook, Stochastic sampling in computer graphics, ACM Transactions on Graphics, vol.5, issue.1, pp.51-72, 1986.
DOI : 10.1145/7529.8927

R. Cranley and T. N. Patterson, Randomization of Number Theoretic Methods for Multiple Integration, SIAM Journal on Numerical Analysis, vol.13, issue.6, pp.904-914, 1976.
DOI : 10.1137/0713071

F. C. Crow, The aliasing problem in computer-generated shaded images, Communications of the ACM, vol.20, issue.11, pp.799-805, 1977.
DOI : 10.1145/359863.359869

J. Cui and W. Freeden, Equidistribution on the Sphere, SIAM Journal on Scientific Computing, vol.18, issue.2, pp.595-609, 1997.
DOI : 10.1137/S1064827595281344

D. J. Daley, D. Vere, and -. , An introduction to the theory of point processes: volume I: elementary Theory and Methods, 2003.

D. J. Daley, D. Vere, and -. , An introduction to the theory of point processes: volume II: general theory and structure, 2007.

F. De-goes, K. Breeden, V. Ostromoukhov, and M. Desbrun, Blue noise through optimal transport, Proc. SIGGRAPH Asia '12, pp.1-17110, 2012.
DOI : 10.1145/2366145.2366190
URL : https://hal.archives-ouvertes.fr/hal-01353135

O. Deussen, S. Hiller, C. Van-overveld, and T. Strothotte, Floating Points: A Method for Computing Stipple Drawings, Computer Graphics Forum, vol.19, issue.3, pp.40-51, 2000.
DOI : 10.1111/1467-8659.00396

I. T. Dimov, A. A. Penzov, and S. S. Stoilova, Parallel Monte Carlo Sampling Scheme for Sphere and Hemisphere, Proceedings of the 6th International Conference on Numerical Methods and Applications, NMA'06, pp.148-155, 2007.
DOI : 10.1007/978-3-540-70942-8_17

M. A. Dippé, E. H. Wold, J. R. Driscoll, and D. M. Healy, Antialiasing through stochastic sampling Computing Fourier Transforms and Convolutions on the 2-Sphere, Proc. SIGGRAPH '85, pp.69-78202, 1985.

D. Dunbar and G. Humphreys, A Spatial Data Structure for Fast Poissondisk Sample Generation, ACM SIGGRAPH 2006, pp.503-508, 2006.

F. Durand, A frequency analysis of Monte-Carlo and other numerical integration schemes, 2011.

M. S. Ebeida, A. A. Davidson, A. Patney, P. M. Knupp, S. A. Mitchell et al., Efficient Maximal Poisson-disk Sampling, ACM SIGGRAPH 2011, pp.1-4912, 2011.

L. Feng, I. Hotz, B. Hamann, and K. I. Joy, Anisotropic noise samples. Visualization and Computer Graphics, IEEE Transactions on, vol.14, issue.2, pp.342-354, 2008.

R. Floyd and L. Steinberg, An adaptive algorithm for spatial gray scale, pp.36-37, 1975.

W. Fulton and J. Harris, Representation Theory: A First Course, 1991.

A. Gabrielli and S. Torquato, Voronoi and void statistics for superhomogeneous point processes, Physical Review E, vol.70, issue.4, p.41105, 2004.
DOI : 10.1103/PhysRevE.70.041105

M. N. Gamito and S. C. Maddock, Accurate multi-Dimensional Poisson-disk sampling, ACM Trans. on Graphics, vol.29, issue.1, p.8, 2009.

M. Gardner, White and brown music, fractal curves and one-over-f fluctuation, pp.16-32, 1978.

K. M. Górski, E. Hivon, A. J. Banday, B. D. Wandelt, F. K. Hansen et al., HEALPix: A Framework for High???Resolution Discretization and Fast Analysis of Data Distributed on the Sphere, The Astrophysical Journal, vol.622, issue.2, p.759, 2005.
DOI : 10.1086/427976

H. Groemer, Geometric Applications of Fourier Series and Spherical Harmonics, 1996.
DOI : 10.1017/CBO9780511530005

B. Grünbaum and G. C. Shephard, Tilings and Patterns, 1986.

J. Hansen and I. R. Mcdonald, Theory of simple liquids, 1990.

D. Heck, T. Schlömer, and O. Deussen, Blue noise sampling with controlled aliasing, ACM Transactions on Graphics, vol.32, issue.3, pp.1-2512, 2013.
DOI : 10.1145/2487228.2487233

I. N. Herstein, Abstract Algebra, 1996.

F. J. Hickernell, Koksma-Hlawka Inequality, 2014.

S. Hiller, O. Deussen, and A. Keller, Tiled blue noise samples, Proceedings of the Vision Modeling and Visualization Conference, pp.265-272, 2001.

R. G. Hipkin, The statistics of pink noise on a sphere: applications to mantle density anomalies, Geophysical Journal International, vol.144, issue.2, pp.259-270, 2001.
DOI : 10.1046/j.0956-540X.2000.01327.x

K. Hoffman and R. A. Kunze, Linear Algebra. Prentice-Hall mathematics series, 1971.

T. R. Jones, Efficient generation of Poisson-disk sampling patterns Journal of graphics, gpu, and game tools Theory of statistical analysis of data distributed over a sphere, Reviews of Geophysics, vol.11, issue.51, pp.27-3683, 1967.

A. Keller, S. Premoze, and M. Raab, Advanced (quasi) Monte Carlo methods for image synthesis, ACM SIGGRAPH 2012 Posters on, SIGGRAPH '12, pp.1-21, 2012.
DOI : 10.1145/2343483.2343502

J. Kopf, D. Cohen-or, O. Deussen, and D. Lischinski, Recursive wang tiles for real-time blue noise, ACM SIGGRAPH 2006 Papers, pp.509-518, 2006.

A. Lagae and P. Dutré, Poisson Sphere Distributions, Vision, Modeling, and Visualization, pp.373-379, 2006.

A. Lagae and P. Dutré, A Comparison of Methods for Generating Poisson Disk Distributions, Computer Graphics Forum, vol.5, issue.1, pp.114-129, 2008.
DOI : 10.1145/1015706.1015750

A. Lagae and P. Dutré, A procedural object distribution function, ACM Transactions on Graphics, vol.24, issue.4, pp.1442-1461, 2005.
DOI : 10.1145/1095878.1095888

A. Lagae and P. Dutré, An alternative for Wang tiles, ACM Transactions on Graphics, vol.25, issue.4, pp.1442-1459, 2006.
DOI : 10.1145/1183287.1183296

C. Lemieux, Monte Carlo and Quasi Monte Carlo Sampling, 2009.

B. Levy, Laplace-Beltrami Eigenfunctions Towards an Algorithm That "Understands" Geometry, IEEE International Conference on Shape Modeling and Applications 2006 (SMI'06), p.13, 2006.
DOI : 10.1109/SMI.2006.21
URL : https://hal.archives-ouvertes.fr/inria-00105566

H. Li, K. Y. Lo, M. K. Leung, and C. W. Fu, Dual Poisson-Disk Tiling: An Efficient Method for Distributing Features on Arbitrary Surfaces, IEEE Transactions on Visualization and Computer Graphics, vol.14, issue.5, pp.982-998, 2008.

H. Li, D. Nehab, L. Wei, P. V. Sander, and C. W. Fu, Fast capacity constrained Voronoi tessellation, Proceedings of the ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games, I3D 10, pp.1-13, 2010.
DOI : 10.1145/1730804.1730985

H. Li, L. Y. Wei, P. V. Sander, and C. W. Fu, Anisotropic blue noise sampling, ACM SIGGRAPH Asia 2010 Papers, pp.1-167, 2010.

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

S. A. Lloyd, An optimization approach to relaxation labelling algorithms, Image and Vision Computing, vol.1, issue.2, pp.85-91, 1983.
DOI : 10.1016/0262-8856(83)90046-X

G. Lohöfer, Inequalities for the Associated Legendre Functions, Journal of Approximation Theory, vol.95, issue.2, pp.178-193, 1998.
DOI : 10.1006/jath.1998.3207

L. Lorch, Alternative Proof of a Sharpened Form of Bernstein's Inequality for Legendre Polynomials, Applicable Analysis, vol.23, issue.9, pp.237-240, 1983.
DOI : 10.1080/00036818308839426

F. J. Lowes, Spatial Power Spectrum of the Main Geomagnetic Field, and Extrapolation to the Core, Geophysical Journal International, vol.36, issue.3, pp.717-730, 1974.
DOI : 10.1111/j.1365-246X.1974.tb00622.x

R. Marques, C. Bouville, M. Ribardì-ere, L. P. Santos, and K. Bouatouch, Spherical Fibonacci Point Sets for Illumination Integrals, Computer Graphics Forum, vol.3, issue.4, pp.134-143, 2013.
DOI : 10.1111/cgf.12190
URL : https://hal.archives-ouvertes.fr/hal-01143347

M. Mccool and E. Fiume, Hierarchical poisson disk sampling distributions Wiaux. A novel sampling theorem on the sphere, Proceedings of the Conference on Graphics Interface '92, pp.94-105, 1992.

D. P. Mitchell, Generating antialiased images at low sampling densities, Proc. SIGGRAPH '87, pp.65-72, 1987.

D. P. Mitchell, Spectrally optimal sampling for distributed ray tracing, Proc. SIGGRAPH '91, pp.157-164, 1991.
DOI : 10.1145/122718.122736

D. P. Mitchell and A. N. Netravali, Reconstruction filters in computergraphics, ACM SIGGRAPH '88, pp.221-228, 1988.

H. Niederreiter, Random Number Generation and Quasi-Monte-Carlo Methods. SIAM, 1992.

A. Okabe, B. Boots, and K. Sugihara, Spatial Tessellations: Concepts and Applications of Voronoi Diagrams, 1992.

V. Ostromoukhov, Sampling with polyominoes, ACM SIGGRAPH 2007 Papers, 2007.

V. Ostromoukhov, C. Donohue, and P. M. Jodoin, Fast hierarchical importance sampling with blue noise properties, ACM Transactions on Graphics, vol.23, issue.3, pp.488-495, 2004.
DOI : 10.1145/1015706.1015750

A. C. Oztireli and M. Gross, Analysis and synthesis of point distributions based on pair correlation, ACM Transactions on Graphics, vol.31, issue.6, pp.1-17010, 2012.
DOI : 10.1145/2366145.2366189

K. Parker, T. Mitsa, and R. Ulichney, A new algorithm for manipulating the power spectrum of halftone patterns, pp.471-475, 1991.

J. L. Peyrot, F. Payan, and M. Antonini, Feature-preserving direct blue noise sampling for surface meshes, Eurographics 2013, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00785530

A. Pilleboue, Analyse spatiale et spectrale des motifs d'´ echantillonnage pour l'intégration Monte Carlo, 2015.

A. Pilleboue, G. Singh, D. Coeurjolly, M. Kazhdan, and V. Ostromoukhov, Variance analysis for Monte Carlo integration, Proc. SIGGRAPH), p.2015
DOI : 10.1145/2766930
URL : https://hal.archives-ouvertes.fr/hal-01150268

E. A. Rakhmanov, E. B. Saff, and Y. M. Zhou, Minimal Discrete Energy on the Sphere, Mathematical Research Letters, vol.1, issue.6, pp.647-662, 1994.
DOI : 10.4310/MRL.1994.v1.n6.a3

R. Ramamoorthi, J. Anderson, M. Meyer, and D. Nowrouzezahrai, A theory of monte carlo visibility sampling, ACM Transactions on Graphics, vol.31, issue.5, pp.1-12116, 2012.
DOI : 10.1145/2231816.2231819

B. D. Ripley, Modelling spatial patterns, Journal of the Royal Statistical Society. Series B (Methodological), pp.172-212, 1977.

E. B. Saff and A. B. Kuijlaars, Distributing many points on a sphere, The Mathematical Intelligencer, vol.153, issue.1, pp.5-11, 1997.
DOI : 10.1007/BF03024331

D. Sakrison, On the Role of the Observer and a Distortion Measure in Image Transmission, IEEE Transactions on Communications, vol.25, issue.11, pp.1251-1267, 1977.
DOI : 10.1109/TCOM.1977.1093773

T. Schlömer, D. Heck, and O. Deussen, Farthest-point optimized point sets with maximized minimum distance, Proceedings of the ACM SIGGRAPH Symposium on High Performance Graphics, HPG '11, pp.135-142, 2011.
DOI : 10.1145/2018323.2018345

C. Schmaltz, P. Gwosdek, A. Bruhn, and J. Weickert, Electrostatic Halftoning, Proceedings of the 2nd ACM International Symposium on Non-photorealistic Animation and Rendering, NPAR '02, pp.2313-2327, 2002.
DOI : 10.1111/j.1467-8659.2010.01716.x

J. Serre, Linear representations of finite groups, 1977.
DOI : 10.1007/978-1-4684-9458-7

M. Z. Shao and N. Badler, Spherical sampling by Archimedes' Theorem, 1996.

P. Shirley and K. Chiu, A Low Distortion Map Between Disk and Square, Journal of Graphics Tools, vol.2, issue.3, pp.45-52, 1997.
DOI : 10.1080/10867651.1997.10487479

P. S. Shirley, Discrepancy as a quality measure for sample distributions, Proc. Eurographics '91, pp.183-194, 1991.

K. Subr and J. Kautz, Fourier analysis of stochastic sampling strategies for assessing bias and variance in integration, ACM Transactions on Graphics, vol.32, issue.4, pp.1-12812, 2013.
DOI : 10.1145/2461912.2462013

A. G. Sukharev, Optimal strategies of the search for an extremum, USSR Computational Mathematics and Mathematical Physics, vol.11, issue.4, pp.119-137, 1971.
DOI : 10.1016/0041-5553(71)90008-5

S. Torquato, O. U. Uche, and F. H. Stillinger, Random sequential addition of hard spheres in high Euclidean dimensions, Physical Review E, vol.74, issue.6, p.61308, 2006.
DOI : 10.1103/PhysRevE.74.061308

G. Turk, Re-tiling polygonal surfaces, Proceedings of the 19th Annual Conference on Computer Graphics and Interactive Techniques, ACM SIG- GRAPH '92, pp.55-64, 1992.
DOI : 10.1145/133994.134008
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.21.1770

R. Ulichney, Digital Halftoning, 1987.

R. A. Ulichney, Dithering with blue noise, Proceedings of the IEEE, pp.56-79, 1988.
DOI : 10.1109/5.3288

C. Ureña, M. Fajardo, and A. King, An Area-Preserving Parametrization for Spherical Rectangles, Computer Graphics Forum, vol.19, issue.2, pp.59-66, 2013.
DOI : 10.1111/cgf.12151

F. Wachtel, A. Pilleboue, D. Coeurjolly, K. Breeden, G. Singh et al., Fast tile-based adaptive sampling with user-specified Fourier spectra, ACM Transactions on Graphics, vol.33, issue.4, pp.1-5611, 2014.
DOI : 10.1145/2601097.2601107
URL : https://hal.archives-ouvertes.fr/hal-01080349

L. Wei, Parallel Poisson Disk sampling, ACM SIGGRAPH 2008 Papers, pp.1-20, 2008.
DOI : 10.1145/1399504.1360619
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.460.3061

L. Wei, Multi-class blue noise sampling, ACM SIGGRAPH 2010 Papers, pp.1-79, 2010.

L. Wei and R. Wang, Differential domain analysis for non-uniform sampling, ACM SIGGRAPH 2011 Papers, pp.1-50, 2011.

K. B. White, D. Cline, and P. K. Egbert, Poisson Disk Point Sets by Hierarchical Dart Throwing, 2007 IEEE Symposium on Interactive Ray Tracing, pp.129-132, 2007.
DOI : 10.1109/RT.2007.4342600

M. A. Wieczorek and F. J. Simons, Localized spectral analysis on the sphere, Geophysical Journal International, vol.162, issue.3, pp.655-675, 2005.
DOI : 10.1111/j.1365-246X.2005.02687.x

Y. Xu, R. Hu, C. Gotsman, and L. Liu, Blue noise sampling of surfaces, Computers & Graphics, vol.36, issue.4, pp.232-240, 2012.
DOI : 10.1016/j.cag.2012.02.005

Y. Xu, L. Liu, C. Gotsman, and S. J. Gortler, Capacity-Constrained Delaunay Triangulation for point distributions, Shape Modeling International (SMI) Conference, pp.510-516, 2011.
DOI : 10.1016/j.cag.2011.03.031

D. M. Yan, J. W. Guo, B. Wang, X. Zhang, and P. Wonka, A Survey of Blue-Noise Sampling and Its Applications, Journal of Computer Science and Technology, vol.43, issue.11, pp.439-452, 2015.
DOI : 10.1007/s11390-015-1535-0

J. I. Yellott, Spectral consequences of photoreceptor sampling in the rhesus retina, Science, vol.221, issue.4608, pp.382-385, 1983.
DOI : 10.1126/science.6867716

A. Yershova and S. M. Lavalle, Deterministic sampling methods for spheres and SO(3), IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004, pp.3974-3980, 2004.
DOI : 10.1109/ROBOT.2004.1308891

Y. Zhou, H. Huang, L. Wei, and R. Wang, Point sampling with general noise spectrum, ACM Transactions on Graphics, vol.31, issue.4, pp.1-7611, 2012.
DOI : 10.1145/2185520.2185572

V. K. Zworykin and G. A. Morton, Televison: The Electronics of Image Transmission in Color and Monochrome, 1954.