mlsanityData to 7 Oct 2026

Neural Geometric Level of Detail: Real-time Rendering with Implicit 3D Shapes

arXiv 2101.10994 ↗First posted 26 Jan 2021cs.CV cs.GRcited by 426

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Abstract (arXiv)

Neural signed distance functions (SDFs) are emerging as an effective representation for 3D shapes. State-of-the-art methods typically encode the SDF with a large, fixed-size neural network to approximate complex shapes with implicit surfaces. Rendering with these large networks is, however, computationally expensive since it requires many forward passes through the network for every pixel, making these representations impractical for real-time graphics. We introduce an efficient neural representation that, for the first time, enables real-time rendering of high-fidelity neural SDFs, while achieving state-of-the-art geometry reconstruction quality. We represent implicit surfaces using an octree-based feature volume which adaptively fits shapes with multiple discrete levels of detail (LODs), and enables continuous LOD with SDF interpolation. We further develop an efficient algorithm to directly render our novel neural SDF representation in real-time by querying only the necessary LODs with sparse octree traversal. We show that our representation is 2-3 orders of magnitude more efficient in terms of rendering speed compared to previous works. Furthermore, it produces state-of-the-art reconstruction quality for complex shapes under both 3D geometric and 2D image-space metrics.

Key facts. Cited by 426 papers in the map (data through 7 Oct 2026). Builds on 28 of its 64 references that are in the map. First posted on arXiv 26 Jan 2021.

Builds on

28 of 64 references.

References · 28

  1. 2014Adam: A Method for Stochastic Optimizationcited by 36,960
  2. 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
  3. 2015ShapeNet: An Information-Rich 3D Model Repositorycited by 2,880
  4. 2019DeepSDF: Learning Continuous Signed Distance Functions for Shape Representationcited by 2,682
  5. 2020Implicit Neural Representations with Periodic Activation Functionscited by 2,214
  6. 2020Fourier Features Let Networks Learn High Frequency Functions in Low Dimensional Domainscited by 2,170
  7. 2018Occupancy Networks: Learning 3D Reconstruction in Function Spacecited by 2,037
  8. 2018Learning Implicit Fields for Generative Shape Modelingcited by 1,060
  9. 2020Neural Sparse Voxel Fieldscited by 959
  10. 2019Scene Representation Networks: Continuous 3D-Structure-Aware Neural Scene Representationscited by 864
  11. 2019PIFu: Pixel-Aligned Implicit Function for High-Resolution Clothed Human Digitizationcited by 818
  12. 2020Accelerating 3D Deep Learning with PyTorch3Dcited by 781
16 more
  1. 2019Differentiable Volumetric Rendering: Learning Implicit 3D Representations without 3D Supervisioncited by 699
  2. 2016Weight Normalization: A Simple Reparameterization to Accelerate Training of Deep Neural Networkscited by 541
  3. 2020PIFuHD: Multi-Level Pixel-Aligned Implicit Function for High-Resolution 3D Human Digitizationcited by 521
  4. 2020Local Implicit Grid Representations for 3D Scenescited by 372
  5. 2020Deep Local Shapes: Learning Local SDF Priors for Detailed 3D Reconstructioncited by 321
  6. 2019BSP-Net: Generating Compact Meshes via Binary Space Partitioningcited by 205
  7. 2016Thingi10K: A Dataset of 10,000 3D-Printing Modelscited by 182
  8. 2019DIST: Rendering Deep Implicit Signed Distance Function with Differentiable Sphere Tracingcited by 179
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  10. 2019SDFDiff: Differentiable Rendering of Signed Distance Fields for 3D Shape Optimizationcited by 159
  11. 2020Learning Deformable Tetrahedral Meshes for 3D Reconstructioncited by 84
  12. 2020DualSDF: Semantic Shape Manipulation using a Two-Level Representationcited by 82
  13. 2020PatchNets: Patch-Based Generalizable Deep Implicit 3D Shape Representationscited by 81
  14. 2020Curriculum DeepSDFcited by 62
  15. 2020On the Effectiveness of Weight-Encoded Neural Implicit 3D Shapescited by 29
  16. 2020Deep Implicit Volume Compressioncited by 26

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 51; 2022: 95; 2023: 107; 2024: 95; 2025: 44; 2026: 34.

426 papers.

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  1. 20233D Gaussian Splatting for Real-Time Radiance Field Renderingcited by 6,141
  2. 2022Instant Neural Graphics Primitives with a Multiresolution Hash Encodingcited by 3,698
  3. 2021Mip-NeRF: A Multiscale Representation for Anti-Aliasing Neural Radiance Fieldscited by 1,957
  4. 2021Plenoxels: Radiance Fields without Neural Networkscited by 1,607
  5. 2022Magic3D: High-Resolution Text-to-3D Content Creationcited by 1,285
  6. 2021Efficient Geometry-aware 3D Generative Adversarial Networkscited by 1,204
  7. 2021Volume Rendering of Neural Implicit Surfacescited by 990
  8. 2021PlenOctrees for Real-time Rendering of Neural Radiance Fieldscited by 904
  9. 2022Block-NeRF: Scalable Large Scene Neural View Synthesiscited by 720
  10. 2021Neural Fields in Visual Computing and Beyondcited by 539
  11. 2021FastNeRF: High-Fidelity Neural Rendering at 200FPScited by 510
  12. 2022MonoSDF: Exploring Monocular Geometric Cues for Neural Implicit Surface Reconstructioncited by 467
38 more
  1. 2023Neuralangelo: High-Fidelity Neural Surface Reconstructioncited by 464
  2. 2021Deep Marching Tetrahedra: a Hybrid Representation for High-Resolution 3D Shape Synthesiscited by 459
  3. 2022Decomposing NeRF for Editing via Feature Field Distillationcited by 370
  4. 2021Advances in Neural Renderingcited by 365
  5. 2023Spacetime Gaussian Feature Splatting for Real-Time Dynamic View Synthesiscited by 341
  6. 2023UniSim: A Neural Closed-Loop Sensor Simulatorcited by 294
  7. 20223D Neural Field Generation using Triplane Diffusioncited by 274
  8. 2023SparseNeRF: Distilling Depth Ranking for Few-shot Novel View Synthesiscited by 247
  9. 2021BungeeNeRF: Progressive Neural Radiance Field for Extreme Multi-scale Scene Renderingcited by 228
  10. 2023LucidDreamer: Domain-free Generation of 3D Gaussian Splatting Scenescited by 228
  11. 2024A Survey on 3D Gaussian Splattingcited by 221
  12. 2024A Hierarchical 3D Gaussian Representation for Real-Time Rendering of Very Large Datasetscited by 214
  13. 2022DiffRF: Rendering-Guided 3D Radiance Field Diffusioncited by 204
  14. 2023Text-To-4D Dynamic Scene Generationcited by 204
  15. 2023EAGLES: Efficient Accelerated 3D Gaussians with Lightweight EncodingScited by 191
  16. 2024CityGaussian: Real-time High-quality Large-Scale Scene Rendering with Gaussianscited by 190
  17. 2022NeRF-SLAM: Real-Time Dense Monocular SLAM with Neural Radiance Fieldscited by 188
  18. 2023Co-SLAM: Joint Coordinate and Sparse Parametric Encodings for Neural Real-Time SLAMcited by 183
  19. 2023GauHuman: Articulated Gaussian Splatting from Monocular Human Videoscited by 168
  20. 2023NICER-SLAM: Neural Implicit Scene Encoding for RGB SLAMcited by 162
  21. 2021Implicit Neural Representations for Image Compressioncited by 161
  22. 2022NeRFPlayer: A Streamable Dynamic Scene Representation with Decomposed Neural Radiance Fieldscited by 151
  23. 2022Vox-Fusion: Dense Tracking and Mapping with Voxel-based Neural Implicit Representationcited by 149
  24. 2021BACON: Band-limited Coordinate Networks for Multiscale Scene Representationcited by 142
  25. 2021Modulated Periodic Activations for Generalizable Local Functional Representationscited by 140
  26. 2023Photo-SLAM: Real-time Simultaneous Localization and Photorealistic Mapping for Monocular, Stereo, and RGB-D Camerascited by 139
  27. 2022InstantAvatar: Learning Avatars from Monocular Video in 60 Secondscited by 138
  28. 2023NeuSG: Neural Implicit Surface Reconstruction with 3D Gaussian Splatting Guidancecited by 137
  29. 2022VoxGRAF: Fast 3D-Aware Image Synthesis with Sparse Voxel Gridscited by 133
  30. 2022Diffusion-SDF: Conditional Generative Modeling of Signed Distance Functionscited by 133
  31. 2022Neural Wavelet-domain Diffusion for 3D Shape Generationcited by 132
  32. 2022Generalizable Patch-Based Neural Renderingcited by 121
  33. 2023StreetSurf: Extending Multi-view Implicit Surface Reconstruction to Street Viewscited by 120
  34. 2021NeSF: Neural Semantic Fields for Generalizable Semantic Segmentation of 3D Scenescited by 119
  35. 2023F2-NeRF: Fast Neural Radiance Field Training with Free Camera Trajectoriescited by 118
  36. 2022Variable Bitrate Neural Fieldscited by 116
  37. 2023Neural Kernel Surface Reconstructioncited by 102
  38. 2021Neural Parts: Learning Expressive 3D Shape Abstractions with Invertible Neural Networkscited by 101

50 most cited of 426 All 426 (JSON)