Volume Rendering Digest (for NeRF)
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Abstract (arXiv)
Neural Radiance Fields employ simple volume rendering as a way to overcome the challenges of differentiating through ray-triangle intersections by leveraging a probabilistic notion of visibility. This is achieved by assuming the scene is composed by a cloud of light-emitting particles whose density changes in space. This technical report summarizes the derivations for differentiable volume rendering. It is a condensed version of previous reports, but rewritten in the context of NeRF, and adopting its commonly used notation.
Key facts. Cited by 31 papers in the map (data through 7 Oct 2026). Builds on 0 of its 3 references that are in the map. First posted on arXiv 29 Aug 2022.
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Citing papers per year: 2022: 2; 2023: 14; 2024: 8; 2025: 6; 2026: 1.
31 papers.
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- 2023pixelSplat: 3D Gaussian Splats from Image Pairs for Scalable Generalizable 3D Reconstructioncited by 668
- 2023Magic123: One Image to High-Quality 3D Object Generation Using Both 2D and 3D Diffusion Priorscited by 395
- 2023Human Gaussian Splatting: Real-time Rendering of Animatable Avatarscited by 105
- 2023Learning to Render Novel Views from Wide-Baseline Stereo Pairscited by 103
- 2023RobustNeRF: Ignoring Distractors with Robust Lossescited by 101
- 2024GES: Generalized Exponential Splatting for Efficient Radiance Field Renderingcited by 92
- 2023Bayes' Rays: Uncertainty Quantification for Neural Radiance Fieldscited by 90
- 2023Neural LiDAR Fields for Novel View Synthesiscited by 65
- 2025Triangle Splatting for Real-Time Radiance Field Renderingcited by 50
- 2023Robust e-NeRF: NeRF from Sparse & Noisy Events under Non-Uniform Motioncited by 44
- 2022nerf2nerf: Pairwise Registration of Neural Radiance Fieldscited by 39
- 2022ParticleNeRF: A Particle-Based Encoding for Online Neural Radiance Fieldscited by 27
19 more
- 2023Dynamic LiDAR Re-simulation using Compositional Neural Fieldscited by 22
- 2024DDGS-CT: Direction-Disentangled Gaussian Splatting for Realistic Volume Renderingcited by 22
- 2023DReg-NeRF: Deep Registration for Neural Radiance Fieldscited by 21
- 2025StochasticSplats: Stochastic Rasterization for Sorting-Free 3D Gaussian Splattingcited by 17
- 2024TrackNeRF: Bundle Adjusting NeRF from Sparse and Noisy Views via Feature Trackscited by 12
- 2023DehazeNeRF: Multiple Image Haze Removal and 3D Shape Reconstruction using Neural Radiance Fieldscited by 10
- 2023BlendFields: Few-Shot Example-Driven Facial Modelingcited by 6
- 2024CATSplat: Context-Aware Transformer with Spatial Guidance for Generalizable 3D Gaussian Splatting from A Single-View Imagecited by 6
- 2025These Magic Moments: Differentiable Uncertainty Quantification of Radiance Field Modelscited by 6
- 2023Reconstructive Latent-Space Neural Radiance Fields for Efficient 3D Scene Representationscited by 5
- 2024Mesh2NeRF: Direct Mesh Supervision for Neural Radiance Field Representation and Generationcited by 5
- 20246Img-to-3D: Few-Image Large-Scale Outdoor Driving Scene Reconstructioncited by 5
- 2024Volumetric Surfaces: Representing Fuzzy Geometries with Layered Meshescited by 5
- 2024Lagrangian Hashing for Compressed Neural Field Representationscited by 4
- 2026Power Foam: Unifying Real-Time Differentiable Ray Tracing and Rasterizationcited by 2
- 2023FusedRF: Fusing Multiple Radiance Fieldscited by 1
- 2025Neural Inverse Rendering from Propagating Lightcited by 1
- 2025BayesSDF: Surface-Based Laplacian Uncertainty Estimation for 3D Geometry with Neural Signed Distance Fieldscited by 1
- 2025R3GS: Gaussian Splatting for Robust Reconstruction and Relocalization in Unconstrained Image Collectionscited by 0
- 2026Power Foam: Unifying Real-Time Differentiable Ray Tracing and Rasterization27 Apr 2026
- 2025BayesSDF: Surface-Based Laplacian Uncertainty Estimation for 3D Geometry with Neural Signed Distance Fields8 Jul 2025
- 2025Neural Inverse Rendering from Propagating Light5 Jun 2025
- 2025Triangle Splatting for Real-Time Radiance Field Rendering25 May 2025
- 2025R3GS: Gaussian Splatting for Robust Reconstruction and Relocalization in Unconstrained Image Collections21 May 2025
- 2025StochasticSplats: Stochastic Rasterization for Sorting-Free 3D Gaussian Splatting31 Mar 2025
- 2025These Magic Moments: Differentiable Uncertainty Quantification of Radiance Field Models18 Mar 2025
- 2024CATSplat: Context-Aware Transformer with Spatial Guidance for Generalizable 3D Gaussian Splatting from A Single-View Image17 Dec 2024
- 2024Lagrangian Hashing for Compressed Neural Field Representations9 Sep 2024
- 2024Volumetric Surfaces: Representing Fuzzy Geometries with Layered Meshes4 Sep 2024
- 2024TrackNeRF: Bundle Adjusting NeRF from Sparse and Noisy Views via Feature Tracks20 Aug 2024
- 2024DDGS-CT: Direction-Disentangled Gaussian Splatting for Realistic Volume Rendering4 Jun 2024
19 more
- 20246Img-to-3D: Few-Image Large-Scale Outdoor Driving Scene Reconstruction18 Apr 2024
- 2024Mesh2NeRF: Direct Mesh Supervision for Neural Radiance Field Representation and Generation28 Mar 2024
- 2024GES: Generalized Exponential Splatting for Efficient Radiance Field Rendering15 Feb 2024
- 2023pixelSplat: 3D Gaussian Splats from Image Pairs for Scalable Generalizable 3D Reconstruction19 Dec 2023
- 2023Dynamic LiDAR Re-simulation using Compositional Neural Fields8 Dec 2023
- 2023Human Gaussian Splatting: Real-time Rendering of Animatable Avatars28 Nov 2023
- 2023Reconstructive Latent-Space Neural Radiance Fields for Efficient 3D Scene Representations27 Oct 2023
- 2023Robust e-NeRF: NeRF from Sparse & Noisy Events under Non-Uniform Motion15 Sep 2023
- 2023Bayes' Rays: Uncertainty Quantification for Neural Radiance Fields6 Sep 2023
- 2023DReg-NeRF: Deep Registration for Neural Radiance Fields18 Aug 2023
- 2023Magic123: One Image to High-Quality 3D Object Generation Using Both 2D and 3D Diffusion Priors30 Jun 2023
- 2023FusedRF: Fusing Multiple Radiance Fields7 Jun 2023
- 2023BlendFields: Few-Shot Example-Driven Facial Modeling12 May 2023
- 2023Neural LiDAR Fields for Novel View Synthesis2 May 2023
- 2023Learning to Render Novel Views from Wide-Baseline Stereo Pairs17 Apr 2023
- 2023DehazeNeRF: Multiple Image Haze Removal and 3D Shape Reconstruction using Neural Radiance Fields20 Mar 2023
- 2023RobustNeRF: Ignoring Distractors with Robust Losses2 Feb 2023
- 2022ParticleNeRF: A Particle-Based Encoding for Online Neural Radiance Fields8 Nov 2022
- 2022nerf2nerf: Pairwise Registration of Neural Radiance Fields3 Nov 2022
- 2023pixelSplat: 3D Gaussian Splats from Image Pairs for Scalable Generalizable 3D Reconstructioncited by 668
- 2023Human Gaussian Splatting: Real-time Rendering of Animatable Avatarscited by 105
- 2023Learning to Render Novel Views from Wide-Baseline Stereo Pairscited by 103
- 2023RobustNeRF: Ignoring Distractors with Robust Lossescited by 101
- 2024GES: Generalized Exponential Splatting for Efficient Radiance Field Renderingcited by 92
- 2023Bayes' Rays: Uncertainty Quantification for Neural Radiance Fieldscited by 90
- 2023Neural LiDAR Fields for Novel View Synthesiscited by 65
- 2025Triangle Splatting for Real-Time Radiance Field Renderingcited by 50
- 2023Robust e-NeRF: NeRF from Sparse & Noisy Events under Non-Uniform Motioncited by 44
- 2022nerf2nerf: Pairwise Registration of Neural Radiance Fieldscited by 39
- 2022ParticleNeRF: A Particle-Based Encoding for Online Neural Radiance Fieldscited by 27
- 2023Dynamic LiDAR Re-simulation using Compositional Neural Fieldscited by 22
12 most cited of 30 All 30 (JSON)
- 2026Power Foam: Unifying Real-Time Differentiable Ray Tracing and Rasterization27 Apr 2026
- 2025BayesSDF: Surface-Based Laplacian Uncertainty Estimation for 3D Geometry with Neural Signed Distance Fields8 Jul 2025
- 2025Neural Inverse Rendering from Propagating Light5 Jun 2025
- 2025Triangle Splatting for Real-Time Radiance Field Rendering25 May 2025
- 2025R3GS: Gaussian Splatting for Robust Reconstruction and Relocalization in Unconstrained Image Collections21 May 2025
- 2025StochasticSplats: Stochastic Rasterization for Sorting-Free 3D Gaussian Splatting31 Mar 2025
- 2025These Magic Moments: Differentiable Uncertainty Quantification of Radiance Field Models18 Mar 2025
- 2024CATSplat: Context-Aware Transformer with Spatial Guidance for Generalizable 3D Gaussian Splatting from A Single-View Image17 Dec 2024
- 2024Lagrangian Hashing for Compressed Neural Field Representations9 Sep 2024
- 2024Volumetric Surfaces: Representing Fuzzy Geometries with Layered Meshes4 Sep 2024
- 2024TrackNeRF: Bundle Adjusting NeRF from Sparse and Noisy Views via Feature Tracks20 Aug 2024
- 2024DDGS-CT: Direction-Disentangled Gaussian Splatting for Realistic Volume Rendering4 Jun 2024
12 newest of 30 All 30 (JSON)