. Balzer, Capacityconstrained point distributions : A variant of Lloyd's method, ACM Trans. on Graphics, vol.2886, issue.3, pp.1-8, 2009.

R. A. Barut and R. Barut, Theory of Group Representations and Applications, World Scientific, vol.25, pp.12-68, 1986.
DOI : 10.1142/0352

. Bonnier, Pair correlation function in random sequential adsorption processes, Journal of Physics A: Mathematical and General, vol.27, issue.11, p.3671, 1994.
DOI : 10.1088/0305-4470/27/11/017

]. Bracewell, The Fourier Transform and Its Applications, American Journal of Physics, vol.34, issue.8, pp.15-61, 1999.
DOI : 10.1119/1.1973431

. Brandolini, Mean square decay of Fourier transforms in Euclidean and non Euclidean spaces, Tohoku Mathematical Journal, vol.53, issue.3, pp.467-478, 2001.
DOI : 10.2748/tmj/1178207421

. Brandolini, Sharp rate of average decay of the Fourier transform of a bounded set, Geometric And Functional Analysis, vol.13, issue.4, pp.671-680, 2003.
DOI : 10.1007/s00039-003-0426-7

. Brandolini, On the Koksma???Hlawka inequality, Journal of Complexity, vol.29, issue.2, pp.158-172, 2013.
DOI : 10.1016/j.jco.2012.10.003

E. Glen and . Bredon, Introduction to compact transformation groups, 1972.

L. Tai and . Chow, Mathematical Methods for Physicists : A concise introduction, 2000.

. Cline, Dart Throwing on Surfaces, Proc. EGSR '09, pp.1217-1226, 2009.
DOI : 10.1111/j.1467-8659.2009.01499.x

L. Robert and . Cook, Stochastic sampling in computer graphics, ACM Trans. Graph, vol.5, issue.30, pp.51-72, 1986.

F. John and . Cornwell, Group theory in physics : An introduction, 1997.

. De-goes, Blue noise through optimal transport, Proc. SIGGRAPH Asia '12, pp.1-171, 2012.
DOI : 10.1145/2366145.2366190
URL : https://hal.archives-ouvertes.fr/hal-01353135

W. Dippé, A. Z. Mark, E. Dippé, and . Wold, Antialiasing through stochastic sampling, ACM SIGGRAPH, pp.69-78, 1985.

. Du, Centroidal Voronoi Tessellations: Applications and Algorithms, SIAM Review, vol.41, issue.4, pp.637-676, 1999.
DOI : 10.1137/S0036144599352836

H. Dunbar, G. Dunbar, and . Humphreys, A spatial data structure for fast Poisson-disk sample generation, ACM Transactions on Graphics, vol.25, issue.3, pp.503-508, 2006.
DOI : 10.1145/1141911.1141915

R. Dvoretzky, H. Dvoretzky, and . Robbins, On the ???Parking??? Problem, Herbert Robbins Selected Papers, pp.477-493, 1985.
DOI : 10.1007/978-1-4612-5110-1_43

. Egan, Frequency Analysis and Sheared Reconstruction for Rendering Motion Blur, SIGGRAPH (ACM Transactions on Graphics), vol.28, issue.3, pp.93-94, 2009.
URL : https://hal.archives-ouvertes.fr/inria-00388461

N. Manuel, S. C. Gamito, and . Maddock, Accurate multidimensional poisson-disk sampling, ACM Trans. Graph, vol.298, issue.1, pp.1-8, 2009.

. Gorski, 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. John and . Halton, On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals, Numerische Mathematik, vol.2, issue.1, pp.84-90, 1960.

M. Hansen, . Hansen, R. Ian, and . Mcdonald, Theory of simple liquids, pp.27-47, 1990.

. Heck, Blue noise sampling with controlled aliasing, ACM Transactions on Graphics, vol.32, issue.3, pp.1-25, 2013.
DOI : 10.1145/2487228.2487233

. Hiller, Tiled blue noise samples, 2001.

. Kazhdan, Variance Analysis for Monte Carlo Integration : A Representation- Theoretic Perspective. ArXiv e-prints, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01259838

]. Kensler, Correlated multi-jittered sampling, pp.35-44, 2013.

. Knuth, The Art of Computer Programming 1 : Fundamental Algorithms 2 : Seminumerical Algorithms 3 : Sorting and Searching, 1968.

. Kopf, Recursive Wang tiles for real-time blue noise, Proceedings of SIGGRAPH 2006), pp.509-518, 2006.
DOI : 10.1145/1141911.1141916

. Kuipers and . Niederreiter, Lauwerens Kuipers and H Niederreiter. Uniform distribution of sequences, 1974.

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

]. and M. Lee, Introduction to topological manifolds. Graduate texts in mathematics, 2000.

. Liflyand, . Stadtmüller, U. Liflyand, and . Stadtmüller, A multidimensional euler-maclaurin formula and an application. Complex Analysis and Dynamical Systems V, pp.183-2013

. Liu, 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
URL : https://hal.archives-ouvertes.fr/inria-00547936

L. Sa, An optimization approach to relaxation labelling algorithms, Image and Vision Computing, vol.1, issue.2, pp.85-91, 1983.

. Mckay, Comparison of three methods for selecting values of input variables in the analysis of output from a computer code, Technometrics, vol.21, issue.2, pp.239-245, 1979.

P. Don and . Mitchell, Spectrally optimal sampling for distribution ray tracing, ACM SIGGRAPH Computer Graphics, vol.25, issue.4, pp.157-164, 1991.

H. Niederreiter, Point sets and sequences with small discrepancy, Monatshefte f??r Mathematik, vol.7, issue.2, pp.273-337, 1987.
DOI : 10.1007/BF01294651

]. H. Niederreiter, Random Number Generation and Quasi-Monte Carlo Methods, Society for Industrial and Applied Mathematics, vol.57, issue.84, pp.42-85, 1992.
DOI : 10.1137/1.9781611970081

. Ostromoukhov, 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

F. Ouellette, J. Marc, E. Ouellette, and . Fiume, On numerical solutions to one-dimensional integration problems with applications to linear light sources, ACM Transactions on Graphics, vol.20, issue.4, pp.232-279, 2001.
DOI : 10.1145/502783.502785

Y. Penrose, D. Mathew, J. Penrose, and . Yukich, Limit Theory for Random Sequential Packing and Deposition, The Annals of Applied Probability, vol.12, issue.1, pp.272-301, 2002.
DOI : 10.1214/aoap/1015961164

]. Penrose, The rôle of aesthetics in pure and applied mathematical research. The Institute of Mathematics and its Applications Bulletin, pp.266-271, 1974.

. Peyrot, Jean-Luc Peyrot, Frédéric Payan, and Marc Antonini. Featurepreserving direct blue noise sampling for surface meshes, Eurographics 2013, 2013.

. Pilleboue, Variance analysis for Monte Carlo integration, Proc. SIGGRAPH), pp.1-124, 2015.
DOI : 10.1145/2766930
URL : https://hal.archives-ouvertes.fr/hal-01150268

. Ramamoorthi, A theory of monte carlo visibility sampling, ACM Transactions on Graphics, vol.31, issue.5, pp.121-2012, 2012.
DOI : 10.1145/2231816.2231819

. Schlömer, Farthestpoint optimized point sets with maximized minimum distance, Proc. Symp. High Performance Graphics '11, pp.135-142, 2011.

T. Schlömer and O. Deussen, Towards a standardized spectral analysis of point sets with applications in graphics, 2010.

O. Shirley and . Shirley, Discrepancy as a quality measure for sample distributions, Proc. Eurographics, pp.183-194, 1991.

W. Shirley, C. Shirley, and . Wang, Multijittered sampling. Graphics gems IV, 4 :370, 1994.

]. Singh, Sampling and Variance Analysis for Monte Carlo Integration in Spherical Domain, 2015.
URL : https://hal.archives-ouvertes.fr/tel-01217082

M. Ilya and . Sobol, On the distribution of points in a cube and the approximate evaluation of integrals. USSR Computational mathematics and mathematical physics, pp.86-112, 1967.

. Soler, Nicolas Holzschuch, and François Sillion. Fourier depth of field, ACM Transactions on Graphics, 2009.

]. Solomon, Random packing density, Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, pp.119-134, 1967.

S. Robert and . Strichartz, A guide to distribution theory and Fourier transforms, World Scientific, 2003.

K. Subr and . Kautz, Fourier analysis of stochastic sampling strategies for assessing bias and variance in integration, ACM Transactions on Graphics, vol.32, issue.4, pp.1-128, 2013.
DOI : 10.1145/2461912.2462013

]. J. Thomson, Xxiv. on the structure of the atom : an investigation of the stability and periods of oscillation of a number of corpuscles arranged at equal intervals around the circumference of a circle ; with application of the results to the theory of atomic structure, Philosophical Magazine Series, vol.6, issue.739, pp.237-265, 1904.

S. Torquato, H. Frank, and . Stillinger, Local density fluctuations, hyperuniformity, and order metrics, Physical Review E, vol.68, issue.4, pp.41113-58, 2003.
DOI : 10.1103/PhysRevE.68.041113

. Torquato, Random sequential addition of hard spheres in high Euclidean dimensions, Physical Review E, vol.74, issue.6, pp.61308-61340, 2006.
DOI : 10.1103/PhysRevE.74.061308

. Uche, On the realizability of pair correlation functions. Physica A : Statistical Mechanics and its Applications, pp.21-36, 2006.

]. Ulichney, Digital halftoning, pp.81-116, 1987.

. Wachtel, Fast tile-based adaptive sampling with user-specified Fourier spectra, ACM Transactions on Graphics, vol.33, issue.4, pp.2014-2022, 2014.
DOI : 10.1145/2601097.2601107
URL : https://hal.archives-ouvertes.fr/hal-01080349

. Wieczorek, . Simons, A. Mark, F. J. Wieczorek, and . 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

I. John and . Yellott, Spectral consequences of photoreceptor sampling in the rhesus retina, Science, vol.221, issue.4608, pp.382-385, 1983.

. Sk-zaremba, The Mathematical Basis of Monte Carlo and Quasi-Monte Carlo Methods, SIAM Review, vol.10, issue.3, pp.303-314, 1968.
DOI : 10.1137/1010056

. Zhou, Point sampling with general noise spectrum, ACM Transactions on Graphics, vol.31, issue.4, pp.76-2012, 2012.
DOI : 10.1145/2185520.2185572