Quasi-Monte Carlo

Quad-Optimized Low-Discrepancy Sequences

Victor Ostromoukhov, Nicolas Bonneel, David Coeurjolly, Jean-Claude Iehl

Conference SIGGRAPH 2024 Rendering
Quasi-Monte Carlo Low-Discrepancy Sequence Sobol Sequence Irreducible Polynomial Rendering

Histogram Stratification for Spatio-Temporal Reservoir Sampling

Corentin Salaün, Martin Bálint, Laurent Belcour, Eric Heitz, Gurprit Singh, Karol Myszkowski

Conference SIGGRAPH 2025 Rendering
Real-Time Rendering ReSTIR Quasi-Monte Carlo Global Illumination Antithetic Sampling

Sobol' Sequences with Guaranteed-Quality 2D Projections

Nicolas Bonneel, David Coeurjolly, Jean-Claude Iehl, Victor Ostromoukhov

Journal meta-only SIGGRAPH 2025 Rendering
Sobol Sequences Low-Discrepancy Sequences Quasi-Monte Carlo Monte Carlo Rendering Sampling 2D Projections Generator Matrices Digital Sequences

Gradient-based Approximation of Nonuniform Low-Discrepancy Samples

Xiangyu Li, Ege Ciklabakkal, Daniel Ritchie, Toshiya Hachisuka

Conference meta-only SIGGRAPH 2026 Rendering
Low-Discrepancy Sampling Quasi-Monte Carlo Numerical Integration Differentiable Optimization Neural Network

NILE: Nested Interleaving of Low-Dimensional Elements

Abdalla G. M. Ahmed, Matt Pharr, Victor Ostromoukhov, Hui Huang

Journal SIGGRAPH 2026 Rendering
Sampling Monte Carlo Rendering Low-Discrepancy Sequence Blue Noise Quasi-Monte Carlo Stratified Sampling

Analysis and Synthesis of Digital Dyadic Sequences

Abdalla G. M. Ahmed, Mikhail Skopenkov, Markus Hadwiger, Peter Wonka

Journal SIGGRAPH Asia 2023 Rendering
Low-Discrepancy Sampling Quasi-Monte Carlo Dyadic Sequence Sobol Sequence Monte Carlo Rendering

ART-Owen Scrambling

Abdalla G. M. Ahmed, Matt Pharr, Peter Wonka

Journal meta-only SIGGRAPH Asia 2023 Rendering
Owen Scrambling Quasi-Monte Carlo Sampling Low Discrepancy Sequences Rendering

Example-Based Sampling with Diffusion Models

Bastien Doignies, Nicolas Bonneel, David Coeurjolly, Julie Digne, Loïs Paulin, Jean-Claude Iehl, Victor Ostromoukhov

Conference SIGGRAPH Asia 2023 Rendering
Sampling Diffusion Model Blue Noise Low Discrepancy Sequence Quasi-Monte Carlo Optimal Transport

Differentiable Owen Scrambling

Bastien Doignies, David Coeurjolly, Nicolas Bonneel, Julie Digne, Jean-Claude Iehl, Victor Ostromoukhov

Journal SIGGRAPH Asia 2024 Rendering
Quasi Monte Carlo Owen Scrambling Low Discrepancy Sequence Sampling Automatic Differentiation Optimal Transport

SZ Sequences: Binary-Based (0, 2^q)-Sequences

Abdalla G. M. Ahmed, Matt Pharr, Victor Ostromoukhov, Hui Huang

Journal SIGGRAPH Asia 2025 Rendering
Low Discrepancy Sequences Quasi Monte Carlo Sampling Rendering Generator Matrices Sobol Sequences