mlsanityData to 7 Oct 2026

PRIF: Primary Ray-based Implicit Function

arXiv 2208.06143 ↗First posted 12 Aug 2022cs.CV cs.GR cs.LGcited by 17

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Abstract (arXiv)

We introduce a new implicit shape representation called Primary Ray-based Implicit Function (PRIF). In contrast to most existing approaches based on the signed distance function (SDF) which handles spatial locations, our representation operates on oriented rays. Specifically, PRIF is formulated to directly produce the surface hit point of a given input ray, without the expensive sphere-tracing operations, hence enabling efficient shape extraction and differentiable rendering. We demonstrate that neural networks trained to encode PRIF achieve successes in various tasks including single shape representation, category-wise shape generation, shape completion from sparse or noisy observations, inverse rendering for camera pose estimation, and neural rendering with color.

Key facts. Cited by 17 papers in the map (data through 7 Oct 2026). Builds on 39 of its 55 references that are in the map. First posted on arXiv 12 Aug 2022.

Builds on

39 of 55 references.

References · 39

  1. 2022Instant Neural Graphics Primitives with a Multiresolution Hash Encodingcited by 3,698
  2. 2015ShapeNet: An Information-Rich 3D Model Repositorycited by 2,880
  3. 2019DeepSDF: Learning Continuous Signed Distance Functions for Shape Representationcited by 2,682
  4. 2020Implicit Neural Representations with Periodic Activation Functionscited by 2,214
  5. 2020Fourier Features Let Networks Learn High Frequency Functions in Low Dimensional Domainscited by 2,170
  6. 2018Occupancy Networks: Learning 3D Reconstruction in Function Spacecited by 2,037
  7. 2018Learning Implicit Fields for Generative Shape Modelingcited by 1,060
  8. 2021Volume Rendering of Neural Implicit Surfacescited by 990
  9. 2019Scene Representation Networks: Continuous 3D-Structure-Aware Neural Scene Representationscited by 864
  10. 2019PIFu: Pixel-Aligned Implicit Function for High-Resolution Clothed Human Digitizationcited by 818
  11. 2020Convolutional Occupancy Networkscited by 760
  12. 2019Differentiable Volumetric Rendering: Learning Implicit 3D Representations without 3D Supervisioncited by 699
27 more
  1. 2021Neural Geometric Level of Detail: Real-time Rendering with Implicit 3D Shapescited by 426
  2. 2019SAL: Sign Agnostic Learning of Shapes from Raw Datacited by 389
  3. 2020Local Implicit Grid Representations for 3D Scenescited by 372
  4. 2020Implicit Functions in Feature Space for 3D Shape Reconstruction and Completioncited by 343
  5. 2019DISN: Deep Implicit Surface Network for High-quality Single-view 3D Reconstructioncited by 332
  6. 2021Light Field Networks: Neural Scene Representations with Single-Evaluation Renderingcited by 330
  7. 2020Deep Local Shapes: Learning Local SDF Priors for Detailed 3D Reconstructioncited by 321
  8. 2019Learning Shape Templates with Structured Implicit Functionscited by 242
  9. 2020MetaSDF: Meta-learning Signed Distance Functionscited by 214
  10. 2019BSP-Net: Generating Compact Meshes via Binary Space Partitioningcited by 205
  11. 2021Neural Descriptor Fields: SE(3)-Equivariant Object Representations for Manipulationcited by 204
  12. 2019DIST: Rendering Deep Implicit Signed Distance Function with Differentiable Sphere Tracingcited by 179
  13. 2019CvxNet: Learnable Convex Decompositioncited by 173
  14. 2019SDFDiff: Differentiable Rendering of Signed Distance Fields for 3D Shape Optimizationcited by 159
  15. 2021BACON: Band-limited Coordinate Networks for Multiscale Scene Representationcited by 142
  16. 2020Combining Implicit Function Learning and Parametric Models for 3D Human Reconstructioncited by 133
  17. 2019Learning to Infer Implicit Surfaces without 3D Supervisioncited by 103
  18. 2021Neural Parts: Learning Expressive 3D Shape Abstractions with Invertible Neural Networkscited by 101
  19. 2020PatchNets: Patch-Based Generalizable Deep Implicit 3D Shape Representationscited by 81
  20. 2019Autolabeling 3D Objects with Differentiable Rendering of SDF Shape Priorscited by 74
  21. 2020Curriculum DeepSDFcited by 62
  22. 2020Adversarial Generation of Continuous Implicit Shape Representationscited by 46
  23. 2021Multiresolution Deep Implicit Functions for 3D Shape Representationcited by 35
  24. 2021Learning Models as Functionals of Signed-Distance Fields for Manipulation Planningcited by 29
  25. 2020Deep Implicit Volume Compressioncited by 26
  26. 2022MINER: Multiscale Implicit Neural Representationscited by 20
  27. 20213D Shapes Local Geometry Codes Learning with SDFcited by 10

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2022: 2; 2023: 8; 2024: 5; 2025: 1; 2026: 1.

17 papers.

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  1. 2023Pointersect: Neural Rendering with Cloud-Ray Intersectioncited by 23
  2. 2023Learning to Estimate 6DoF Pose from Limited Data: A Few-Shot, Generalizable Approach using RGB Imagescited by 18
  3. 2023RayDF: Neural Ray-surface Distance Fields with Multi-view Consistencycited by 12
  4. 20233D Motion Magnification: Visualizing Subtle Motions with Time Varying Radiance Fieldscited by 7
  5. 2022VIINTER: View Interpolation with Implicit Neural Representations of Imagescited by 5
  6. 2023Reconstructive Latent-Space Neural Radiance Fields for Efficient 3D Scene Representationscited by 5
  7. 2022Progressive Multi-scale Light Field Networkscited by 3
  8. 2023MARF: The Medial Atom Ray Field Object Representationcited by 2
  9. 2023Continuous Levels of Detail for Light Field Networkscited by 1
  10. 2024Efficient Visibility Approximation for Game AI using Neural Omnidirectional Distance Fieldscited by 1
  11. 2025RayletDF: Raylet Distance Fields for Generalizable 3D Surface Reconstruction from Point Clouds or Gaussianscited by 1
  12. 2026Shape Representation using Gaussian Process mixture modelscited by 1
5 more
  1. 2023ConVRT: Consistent Video Restoration Through Turbulence with Test-time Optimization of Neural Video Representationscited by 0
  2. 2024TaylorGrid: Towards Fast and High-Quality Implicit Field Learning via Direct Taylor-based Grid Optimizationcited by 0
  3. 2024Probabilistic Directed Distance Fields for Ray-Based Shape Representationscited by 0
  4. 2024COBRA -- COnfidence score Based on shape Regression Analysis for method-independent quality assessment of object pose estimation from single imagescited by 0
  5. 2024N-BVH: Neural ray queries with bounding volume hierarchiescited by 0