Optimal Transport

Iterative α-(de)Blending: a Minimalist Deterministic Diffusion Model

Eric Heitz, Laurent Belcour, Thomas Chambon

Conference SIGGRAPH 2023 Neural & Generative
Diffusion Model Deterministic Sampling Generative Model Optimal Transport Image Generation

Surface Simplification using Intrinsic Error Metrics

Hsueh-Ti Derek Liu, Mark Gillespie, Benjamin Chislett, Nicholas Sharp, Alec Jacobson, Keenan Crane

Journal SIGGRAPH 2023 Geometry & Modeling
Mesh Simplification Intrinsic Triangulation Geometry Processing Optimal Transport Multigrid

Linear-Time Transport with Rectified Flows

Khoa Do, David Coeurjolly, Pooran Memari, Nicolas Bonneel

Journal meta-only SIGGRAPH 2025 Geometry & Modeling
Optimal Transport Rectified Flows Shape Interpolation Image Stippling Linear-Time Algorithm Transport Plans Computational Geometry

Motion Control via Metric-Aligning Motion Matching

Naoki Agata, Takeo Igarashi

Conference SIGGRAPH 2025 Animation & Simulation
Motion Control Motion Alignment Optimal Transport Gromov-Wasserstein Motion Matching Character Animation

Generative 3D Gaussians with Learned Density Control

Runjie Yan, Yan-Pei Cao, Peng Wang, Ding Liang, Yuan-Chen Guo

Conference SIGGRAPH 2026 Neural & Generative
3D Gaussian Splatting Diffusion Model 3D Generation Image-to-3D Octree Optimal Transport

MeshFlow: Mesh Generation with Equivariant Flow Matching

Qi Sun, Kiyohiro Nakayama, Jing Nathan Yan, Qixing Huang, Alexander Rush, Leonidas J. Guibas, Gordon Wetzstein, Jing Liao, Guandao Yang

Conference SIGGRAPH 2026 Neural & Generative
Mesh Generation Flow Matching Diffusion Model Equivariance Optimal Transport 3D Generation

Schrödinger Bridges on Discretized Geometric Domains

Leticia Mattos Da Silva, Mohammad Sina Nabizadeh, Justin Solomon

Journal meta-only SIGGRAPH 2026 Geometry & Modeling
Schrodinger Bridge Optimal Transport Geometry Processing Finite Element Method Shape Interpolation

Surface Power Diagrams for Knit Singularity Placement

Rahul Mitra, Mattéo Couplet, Ruichen Liu, Jonathan Ng, Ruza Markov, William Batara Jeremiah Samosir, Megan Hofmann, Edward Chien

Journal SIGGRAPH 2026 Geometry & Modeling
Computational Knitting Optimal Transport Power Diagram Vector Field Computational Fabrication

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

Extended Path Space Manifolds for Physically Based Differentiable Rendering

Jiankai Xing, Xuejun Hu, Fujun Luan, Ling-Qi Yan, Kun Xu

Conference SIGGRAPH Asia 2023 Rendering
Differentiable Rendering Inverse Rendering Path Space Manifold Path Tracing 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

BSP-OT: Sparse transport plans between discrete measures in loglinear time

Baptiste Genest, Nicolas Bonneel, Vincent Nivoliers, David Coeurjolly

Journal meta-only SIGGRAPH Asia 2025 Geometry & Modeling
Optimal Transport Discrete Measures Transport Plan Assignment Problem Binary Space Partitioning Computational Geometry

Efficient and Scalable Spatial Regularization of Optimal Transport

Lucas Brifault, David Cohen-Steiner, Mathieu Desbrun

Conference SIGGRAPH Asia 2025 Geometry & Modeling
Optimal Transport Shape Matching Non-Rigid Registration Convex Optimization ADMM Sinkhorn Algorithm