Minkowski-type theorems and least-squares clustering, Algorithmica, vol.20, pp.61-76, 1998. ,
Closed Form Transmittance in Heterogeneous Media Using Cosine Noise, Central European Seminar on Computer Graphics, 2019. ,
Capacity-Constrained Point Distributions: A Variant of Lloyd's Method, ACM Trans. Graph, vol.28, pp.1-8, 2009. ,
SPOT: Sliced Partial Optimal Transport, ACM Trans. Graph, vol.38, issue.4, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02111220
Sliced and Radon Wasserstein barycenters of measures, Journal of Mathematical Imaging and Vision, vol.51, p.1, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-00881872
Unidimensional and evolution methods for optimal transportation, 2013. ,
URL : https://hal.archives-ouvertes.fr/tel-00946781
Fast Poisson Disk Sampling in Arbitrary Dimensions, ACM SIGGRAPH Sketches, pp.22-23, 2007. ,
RenderMan: An Advanced Path-Tracing Architecture for Movie Rendering, ACM Trans. Graph, vol.37, 2018. ,
Progressive Multi-Jittered Sample Sequences, Computer Graphics Forum, vol.37, pp.21-33, 2018. ,
Stochastic Sampling in Computer Graphics, ACM Trans. Graph, vol.5, pp.51-72, 1986. ,
Blue noise through optimal transport, ACM Trans. Graph, vol.31, p.171, 2012. ,
, Digital Nets and Sequences: Discrepancy Theory and Quasi-Monte Carlo Integration, 2010.
Antialiasing through Stochastic Sampling, Computer Graphics, vol.19, issue.3, pp.69-78, 1985. ,
A frequency analysis of Monte-Carlo and other numerical integration schemes, 2011. ,
Blue-Noise Point Sampling Using Kernel Density Model, ACM Trans. Graph, vol.30, issue.4, p.12, 2011. ,
Blue-Noise Dithered Sampling, vol.35, pp.1-35, 2016. ,
A bi-Lipschitz continuous, volume preserving map from the unit ball onto a cube, Note di Matematica, vol.28, pp.177-193, 2008. ,
Blue Noise Sampling with Controlled Aliasing, ACM Trans. Graph, vol.32, p.12, 2013. ,
Distributing Monte Carlo Errors as a Blue Noise in Screen Space by Permuting Pixel Seeds Between Frames, Computer Graphics Forum, vol.38, pp.149-158, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02158423
A Low-Discrepancy Sampler that Distributes Monte Carlo Errors as a Blue Noise in Screen Space, ACM SIGGRAPH Talk, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02150657
Funktionen von beschränkter Variation in der Theorie der Gleichverteilung, Annali di Matematica Pura ed Applicata, vol.54, pp.325-333, 1961. ,
Mitsuba Renderer, 2013. ,
Orthogonal Array Sampling for Monte Carlo Rendering, Computer Graphics Forum, vol.38, pp.135-147, 2019. ,
Constructing Sobol sequences with better two-dimensional projections, SIAM Journal on Scientific Computing, vol.30, pp.2635-2654, 2008. ,
Functional analysis and applied mathematics, Uspekhi Matematicheskikh Nauk, vol.3, pp.89-185, 1948. ,
On a space of completely additive functions, Vestnik Leningrad. Univ, vol.13, pp.52-59, 1958. ,
Stratification by rank-1 lattices, pp.299-313, 2004. ,
Quasi-Monte Carlo Image Synthesis in a Nutshell, pp.213-249, 2013. ,
Recursive Wang Tiles for Real-Time Blue Noise, ACM Trans. Graph, vol.25, issue.3, pp.509-518, 2006. ,
Sony Pictures Imageworks Arnold, ACM Trans. Graph, vol.37, p.3, 2018. ,
An Alternative for Wang Tiles: Colored Edges versus Colored Corners, ACM Trans. Graph, vol.25, pp.1442-1459, 2006. ,
Lattice Builder: A General Software Tool for Constructing Rank-1 Lattice Rules, 2016. ,
Monte Carlo and Quasi Monte Carlo Sampling, 2009. ,
A numerical algorithm for L2 semi-discrete optimal transport in 3D, ESAIM: Mathematical Modelling and Numerical Analysis, vol.49, pp.1693-1715, 2015. ,
A multiscale approach to optimal transport, Computer Graphics Forum, vol.30, pp.1583-1592, 2011. ,
Generating Antialiased Images at Low Sampling Densities, Computer Graphics, vol.21, pp.65-72, 1987. ,
Spectrally optimal sampling for distribution ray tracing, Computer Graphics, vol.25, pp.157-164, 1991. ,
HOT: Hodge-optimized Triangulations, ACM Trans. Graph, vol.30, p.103, 2011. ,
Instant transport maps on 2D grids, ACM Trans. Graph, vol.37, p.13, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01884157
Monte Carlo Methods for Volumetric Light Transport Simulation, vol.37, 2018. ,
Fast hierarchical importance sampling with blue noise properties, In ACM Trans. Graph, vol.23, pp.488-495, 2004. ,
Scrambling Sobol's and Niederreiter-Xing Points, Journal of Complexity, vol.14, pp.466-489, 1998. ,
Integration with Stochastic Point Processes, ACM Trans. Graph, vol.35, p.160, 2016. ,
Sequences with Low-Discrepancy Blue-Noise 2-D Projections, Computer Graphics Forum, vol.37, pp.339-353, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01717945
Physically Based Rendering: From Theory to Implementation, 2016. ,
Variance Analysis for Monte Carlo Integration, ACM Trans. Graph, vol.34, issue.4, p.14, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01150268
N-Dimensional Probablility Density Function Transfer and Its Application to Colour Transfer, IEEE Int. Conf. on Computer Vision (ICCV), 2005. ,
Wasserstein blue noise sampling, ACM Trans. Graph, vol.36, p.137, 2017. ,
Wasserstein barycenter and its application to texture mixing, International Conference on Scale Space and Variational Methods in Computer Vision, pp.435-446, 2011. ,
On the determination of functions from their integral values along certain manifolds, IEEE Transactions on Medical Imaging, vol.5, pp.170-176, 1986. ,
Projective blue-noise sampling, Computer Graphics Forum, vol.35, pp.285-295, 2016. ,
Geometrically Coupled Monte Carlo Sampling, Advances in Neural Information Processing Systems, vol.31, pp.195-206, 2018. ,
A low distortion map between disk and square, Journal of Graphics Tools, vol.2, pp.45-52, 1997. ,
Convergence Analysis for Anisotropic Monte Carlo Sampling Spectra, ACM Trans. Graph, vol.36, issue.4, p.14, 2017. ,
Fourier Analysis of Correlated Monte Carlo Importance Sampling, Computer Graphics Forum, vol.38, issue.1, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02066866
Convolutional Wasserstein Distances: Efficient Optimal Transportation on Geometric Domains, ACM Trans. Graph, vol.34, p.66, 2015. ,
Earth Mover's Distances on Discrete Surfaces, ACM Trans. Graph, vol.33, p.67, 2014. ,
Fourier analysis of stochastic sampling strategies for assessing bias and variance in integration, ACM Trans. Graph, vol.32, 2013. ,
, The Radon transform-theory and implementation, 1996.
Random sequential addition of hard spheres in high Euclidean dimensions, Physical Review E, vol.74, issue.6, p.61308, 2006. ,
Digital Halftoning, 1987. ,
Robust Monte Carlo methods for light transport simulation, 1997. ,
, Optimal Transport: Old and New. Fundamental Principles of Mathematical Sciences, vol.338, 2009.
Multi-Class Blue Noise Sampling, ACM Trans. Graph, vol.29, issue.4, pp.1-79, 2010. ,
Point sampling with general noise spectrum, ACM Trans. Graph, vol.31, p.76, 2012. ,