MixNeRF: Modeling a Ray with Mixture Density for Novel View Synthesis from Sparse Inputs
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Abstract (arXiv)
Neural Radiance Field (NeRF) has broken new ground in the novel view synthesis due to its simple concept and state-of-the-art quality. However, it suffers from severe performance degradation unless trained with a dense set of images with different camera poses, which hinders its practical applications. Although previous methods addressing this problem achieved promising results, they relied heavily on the additional training resources, which goes against the philosophy of sparse-input novel-view synthesis pursuing the training efficiency. In this work, we propose MixNeRF, an effective training strategy for novel view synthesis from sparse inputs by modeling a ray with a mixture density model. Our MixNeRF estimates the joint distribution of RGB colors along the ray samples by modeling it with mixture of distributions. We also propose a new task of ray depth estimation as a useful training objective, which is highly correlated with 3D scene geometry. Moreover, we remodel the colors with regenerated blending weights based on the estimated ray depth and further improves the robustness for colors and viewpoints. Our MixNeRF outperforms other state-of-the-art methods in various standard benchmarks with superior efficiency of training and inference.
Key facts. Cited by 40 papers in the map (data through 14 Oct 2026). Builds on 35 of its 48 references that are in the map. First posted on arXiv 17 Feb 2023.
Builds on
35 of 48 references.
References · 35
- 2014Adam: A Method for Stochastic Optimizationcited by 37,240
- 2018The Unreasonable Effectiveness of Deep Features as a Perceptual Metriccited by 11,177
- 2019DeepSDF: Learning Continuous Signed Distance Functions for Shape Representationcited by 2,689
- 2016Density estimation using Real NVPcited by 2,042
- 2018Occupancy Networks: Learning 3D Reconstruction in Function Spacecited by 2,041
- 2021Mip-NeRF: A Multiscale Representation for Anti-Aliasing Neural Radiance Fieldscited by 1,964
- 2020pixelNeRF: Neural Radiance Fields from One or Few Imagescited by 1,584
- 2020NeRF in the Wild: Neural Radiance Fields for Unconstrained Photo Collectionscited by 1,232
- 2018Learning Implicit Fields for Generative Shape Modelingcited by 1,060
- 2020Neural Sparse Voxel Fieldscited by 959
- 2021MVSNeRF: Fast Generalizable Radiance Field Reconstruction from Multi-View Stereocited by 740
- 2021Depth-supervised NeRF: Fewer Views and Faster Training for Freecited by 735
23 more
- 2021IBRNet: Learning Multi-View Image-Based Renderingcited by 703
- 2019Local Light Field Fusion: Practical View Synthesis with Prescriptive Sampling Guidelinescited by 672
- 2021RegNeRF: Regularizing Neural Radiance Fields for View Synthesis from Sparse Inputscited by 615
- 2021Ref-NeRF: Structured View-Dependent Appearance for Neural Radiance Fieldscited by 575
- 2021Putting NeRF on a Diet: Semantically Consistent Few-Shot View Synthesiscited by 464
- 2021Dense Depth Priors for Neural Radiance Fields from Sparse Input Viewscited by 302
- 2021GeoNeRF: Generalizing NeRF with Geometry Priorscited by 196
- 2021Neural Rays for Occlusion-aware Image-based Renderingcited by 192
- 2021Stereo Radiance Fields (SRF): Learning View Synthesis for Sparse Views of Novel Scenescited by 190
- 2020GRF: Learning a General Radiance Field for 3D Representation and Renderingcited by 183
- 2021CodeNeRF: Disentangled Neural Radiance Fields for Object Categoriescited by 183
- 2021InfoNeRF: Ray Entropy Minimization for Few-Shot Neural Volume Renderingcited by 182
- 2022SinNeRF: Training Neural Radiance Fields on Complex Scenes from a Single Imagecited by 165
- 2019SDFDiff: Differentiable Rendering of Signed Distance Fields for 3D Shape Optimizationcited by 159
- 2021MINE: Towards Continuous Depth MPI with NeRF for Novel View Synthesiscited by 133
- 2021SMD-Nets: Stereo Mixture Density Networkscited by 120
- 2021Learning Accurate Dense Correspondences and When to Trust Themcited by 113
- 2021Neural Lumigraph Renderingcited by 105
- 2019Generating Multiple Hypotheses for 3D Human Pose Estimation with Mixture Density Networkcited by 92
- 2021ShaRF: Shape-conditioned Radiance Fields from a Single Viewcited by 92
- 2020Portrait Neural Radiance Fields from a Single Imagecited by 61
- 2021Fast Training of Neural Lumigraph Representations using Meta Learningcited by 29
- 2019Training Multi-Object Detector by Estimating Bounding Box Distribution for Input Imagecited by 3
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Citing papers per year: 2023: 12; 2024: 19; 2025: 7; 2026: 2.
40 papers.
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- 2023ReconFusion: 3D Reconstruction with Diffusion Priorscited by 318
- 2023SimpleNeRF: Regularizing Sparse Input Neural Radiance Fields with Simpler Solutionscited by 44
- 2023Deceptive-NeRF/3DGS: Diffusion-Generated Pseudo-Observations for High-Quality Sparse-View Reconstructioncited by 39
- 2025Decompositional Neural Scene Reconstruction with Generative Diffusion Priorcited by 31
- 2023FlipNeRF: Flipped Reflection Rays for Few-shot Novel View Synthesiscited by 29
- 20244D Gaussian Splatting in the Wild with Uncertainty-Aware Regularizationcited by 28
- 2023ZeroRF: Fast Sparse View 360deg Reconstruction with Zero Pretrainingcited by 24
- 2024SparseCraft: Few-Shot Neural Reconstruction through Stereopsis Guided Geometric Linearizationcited by 19
- 2024FrugalNeRF: Fast Convergence for Extreme Few-shot Novel View Synthesis without Learned Priorscited by 18
- 2024Structure Consistent Gaussian Splatting with Matching Prior for Few-shot Novel View Synthesiscited by 18
- 2024Is Vanilla MLP in Neural Radiance Field Enough for Few-shot View Synthesis?cited by 15
- 2024GSemSplat: Generalizable Semantic 3D Gaussian Splatting from Uncalibrated Image Pairscited by 15
28 more
- 2025HoloScene: Simulation-Ready Interactive 3D Worlds from a Single Videocited by 14
- 2024Neural Radiance Field-based Visual Rendering: A Comprehensive Reviewcited by 12
- 2025Neural Radiance Fields for the Real World: A Surveycited by 12
- 2024Sources of Uncertainty in 3D Scene Reconstructioncited by 10
- 2023Global Latent Neural Renderingcited by 9
- 2024Semantically-aware Neural Radiance Fields for Visual Scene Understanding: A Comprehensive Reviewcited by 9
- 2023Viewpoint Textual Inversion: Discovering Scene Representations and 3D View Control in 2D Diffusion Modelscited by 7
- 2023Fast Sun-aligned Outdoor Scene Relighting based on TensoRFcited by 7
- 2024Efficient Depth-Guided Urban View Synthesiscited by 7
- 2024SSNeRF: Sparse View Semi-supervised Neural Radiance Fields with Augmentationcited by 6
- 2024MCGS: Multiview Consistency Enhancement for Sparse-View 3D Gaussian Radiance Fieldscited by 6
- 2024Few-shot NeRF by Adaptive Rendering Loss Regularizationcited by 6
- 2024CMC: Few-shot Novel View Synthesis via Cross-view Multiplane Consistencycited by 4
- 2025Sparse-View 3D Reconstruction: Recent Advances and Open Challengescited by 4
- 2026Evidential Neural Radiance Fieldscited by 4
- 2023Instant Uncertainty Calibration of NeRFs Using a Meta-Calibratorcited by 3
- 2024HG3-NeRF: Hierarchical Geometric, Semantic, and Photometric Guided Neural Radiance Fields for Sparse View Inputscited by 3
- 2024FrameNeRF: A Simple and Efficient Framework for Few-shot Novel View Synthesiscited by 3
- 2024Spatial Annealing for Efficient Few-shot Neural Renderingcited by 2
- 2023Informative Rays Selection for Few-Shot Neural Radiance Fieldscited by 1
- 2024ARC-NeRF: Area Ray Casting for Broader Unseen View Coverage in Few-shot Object Renderingcited by 1
- 2024Simple-RF: Regularizing Sparse Input Radiance Fields with Simpler Solutionscited by 1
- 2023Survey on Controlable Image Synthesis with Deep Learningcited by 0
- 2023ConcatPlexer: Additional Dim1 Batching for Faster ViTscited by 0
- 2025DivCon-NeRF: Diverse and Consistent Ray Augmentation for Few-Shot NeRFcited by 0
- 2025Gesplat: Robust Pose-Free 3D Reconstruction via Geometry-Guided Gaussian Splattingcited by 0
- 2025LoGoColor: Local-Global 3D Colorization for 360deg Scenescited by 0
- 2026RayOcc: Occlusion-Aware Ray Occupancy Estimation via Gaussian Mixture Intensitycited by 0
- 2026RayOcc: Occlusion-Aware Ray Occupancy Estimation via Gaussian Mixture Intensity20 Jul 2026
- 2026Evidential Neural Radiance Fields27 Feb 2026
- 2025LoGoColor: Local-Global 3D Colorization for 360deg Scenes10 Dec 2025
- 2025Gesplat: Robust Pose-Free 3D Reconstruction via Geometry-Guided Gaussian Splatting11 Oct 2025
- 2025HoloScene: Simulation-Ready Interactive 3D Worlds from a Single Video7 Oct 2025
- 2025Sparse-View 3D Reconstruction: Recent Advances and Open Challenges22 Jul 2025
- 2025Decompositional Neural Scene Reconstruction with Generative Diffusion Prior19 Mar 2025
- 2025DivCon-NeRF: Diverse and Consistent Ray Augmentation for Few-Shot NeRF17 Mar 2025
- 2025Neural Radiance Fields for the Real World: A Survey22 Jan 2025
- 2024GSemSplat: Generalizable Semantic 3D Gaussian Splatting from Uncalibrated Image Pairs22 Dec 2024
- 20244D Gaussian Splatting in the Wild with Uncertainty-Aware Regularization13 Nov 2024
- 2024Structure Consistent Gaussian Splatting with Matching Prior for Few-shot Novel View Synthesis6 Nov 2024
28 more
- 2024Few-shot NeRF by Adaptive Rendering Loss Regularization23 Oct 2024
- 2024FrugalNeRF: Fast Convergence for Extreme Few-shot Novel View Synthesis without Learned Priors21 Oct 2024
- 2024MCGS: Multiview Consistency Enhancement for Sparse-View 3D Gaussian Radiance Fields15 Oct 2024
- 2024Sources of Uncertainty in 3D Scene Reconstruction10 Sep 2024
- 2024SSNeRF: Sparse View Semi-supervised Neural Radiance Fields with Augmentation17 Aug 2024
- 2024SparseCraft: Few-Shot Neural Reconstruction through Stereopsis Guided Geometric Linearization19 Jul 2024
- 2024Efficient Depth-Guided Urban View Synthesis17 Jul 2024
- 2024Spatial Annealing for Efficient Few-shot Neural Rendering12 Jun 2024
- 2024Simple-RF: Regularizing Sparse Input Radiance Fields with Simpler Solutions29 Apr 2024
- 2024Neural Radiance Field-based Visual Rendering: A Comprehensive Review31 Mar 2024
- 2024ARC-NeRF: Area Ray Casting for Broader Unseen View Coverage in Few-shot Object Rendering16 Mar 2024
- 2024Is Vanilla MLP in Neural Radiance Field Enough for Few-shot View Synthesis?10 Mar 2024
- 2024CMC: Few-shot Novel View Synthesis via Cross-view Multiplane Consistency26 Feb 2024
- 2024FrameNeRF: A Simple and Efficient Framework for Few-shot Novel View Synthesis22 Feb 2024
- 2024Semantically-aware Neural Radiance Fields for Visual Scene Understanding: A Comprehensive Review17 Feb 2024
- 2024HG3-NeRF: Hierarchical Geometric, Semantic, and Photometric Guided Neural Radiance Fields for Sparse View Inputs22 Jan 2024
- 2023Informative Rays Selection for Few-Shot Neural Radiance Fields29 Dec 2023
- 2023ZeroRF: Fast Sparse View 360deg Reconstruction with Zero Pretraining14 Dec 2023
- 2023Global Latent Neural Rendering13 Dec 2023
- 2023ReconFusion: 3D Reconstruction with Diffusion Priors5 Dec 2023
- 2023Instant Uncertainty Calibration of NeRFs Using a Meta-Calibrator4 Dec 2023
- 2023Fast Sun-aligned Outdoor Scene Relighting based on TensoRF7 Nov 2023
- 2023Viewpoint Textual Inversion: Discovering Scene Representations and 3D View Control in 2D Diffusion Models14 Sep 2023
- 2023SimpleNeRF: Regularizing Sparse Input Neural Radiance Fields with Simpler Solutions7 Sep 2023
- 2023ConcatPlexer: Additional Dim1 Batching for Faster ViTs22 Aug 2023
- 2023Survey on Controlable Image Synthesis with Deep Learning18 Jul 2023
- 2023FlipNeRF: Flipped Reflection Rays for Few-shot Novel View Synthesis30 Jun 2023
- 2023Deceptive-NeRF/3DGS: Diffusion-Generated Pseudo-Observations for High-Quality Sparse-View Reconstruction24 May 2023
- 2023ReconFusion: 3D Reconstruction with Diffusion Priorscited by 318
- 2023Deceptive-NeRF/3DGS: Diffusion-Generated Pseudo-Observations for High-Quality Sparse-View Reconstructioncited by 39
- 2025Decompositional Neural Scene Reconstruction with Generative Diffusion Priorcited by 31
- 2023Viewpoint Textual Inversion: Discovering Scene Representations and 3D View Control in 2D Diffusion Modelscited by 7
- 2025Decompositional Neural Scene Reconstruction with Generative Diffusion Prior19 Mar 2025
- 2023ReconFusion: 3D Reconstruction with Diffusion Priors5 Dec 2023
- 2023Viewpoint Textual Inversion: Discovering Scene Representations and 3D View Control in 2D Diffusion Models14 Sep 2023
- 2023Deceptive-NeRF/3DGS: Diffusion-Generated Pseudo-Observations for High-Quality Sparse-View Reconstruction24 May 2023
- 2023SimpleNeRF: Regularizing Sparse Input Neural Radiance Fields with Simpler Solutionscited by 44
- 2023FlipNeRF: Flipped Reflection Rays for Few-shot Novel View Synthesiscited by 29
- 20244D Gaussian Splatting in the Wild with Uncertainty-Aware Regularizationcited by 28
- 2023ZeroRF: Fast Sparse View 360deg Reconstruction with Zero Pretrainingcited by 24
- 2024SparseCraft: Few-Shot Neural Reconstruction through Stereopsis Guided Geometric Linearizationcited by 19
- 2024FrugalNeRF: Fast Convergence for Extreme Few-shot Novel View Synthesis without Learned Priorscited by 18
- 2024Structure Consistent Gaussian Splatting with Matching Prior for Few-shot Novel View Synthesiscited by 18
- 2024Is Vanilla MLP in Neural Radiance Field Enough for Few-shot View Synthesis?cited by 15
- 2024GSemSplat: Generalizable Semantic 3D Gaussian Splatting from Uncalibrated Image Pairscited by 15
- 2025HoloScene: Simulation-Ready Interactive 3D Worlds from a Single Videocited by 14
- 2024Neural Radiance Field-based Visual Rendering: A Comprehensive Reviewcited by 12
- 2025Neural Radiance Fields for the Real World: A Surveycited by 12
12 most cited of 36 All 36 (JSON)
- 2026RayOcc: Occlusion-Aware Ray Occupancy Estimation via Gaussian Mixture Intensity20 Jul 2026
- 2026Evidential Neural Radiance Fields27 Feb 2026
- 2025LoGoColor: Local-Global 3D Colorization for 360deg Scenes10 Dec 2025
- 2025Gesplat: Robust Pose-Free 3D Reconstruction via Geometry-Guided Gaussian Splatting11 Oct 2025
- 2025HoloScene: Simulation-Ready Interactive 3D Worlds from a Single Video7 Oct 2025
- 2025Sparse-View 3D Reconstruction: Recent Advances and Open Challenges22 Jul 2025
- 2025DivCon-NeRF: Diverse and Consistent Ray Augmentation for Few-Shot NeRF17 Mar 2025
- 2025Neural Radiance Fields for the Real World: A Survey22 Jan 2025
- 2024GSemSplat: Generalizable Semantic 3D Gaussian Splatting from Uncalibrated Image Pairs22 Dec 2024
- 20244D Gaussian Splatting in the Wild with Uncertainty-Aware Regularization13 Nov 2024
- 2024Structure Consistent Gaussian Splatting with Matching Prior for Few-shot Novel View Synthesis6 Nov 2024
- 2024Few-shot NeRF by Adaptive Rendering Loss Regularization23 Oct 2024
12 newest of 36 All 36 (JSON)