mlsanityData to 14 Oct 2026

Geometry-Consistent Neural Shape Representation with Implicit Displacement Fields

arXiv 2106.05187 ↗First posted 9 Jun 2021cs.CV cs.GR cs.LGcited by 60

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Abstract (arXiv)

We present implicit displacement fields, a novel representation for detailed 3D geometry. Inspired by a classic surface deformation technique, displacement mapping, our method represents a complex surface as a smooth base surface plus a displacement along the base's normal directions, resulting in a frequency-based shape decomposition, where the high frequency signal is constrained geometrically by the low frequency signal. Importantly, this disentanglement is unsupervised thanks to a tailored architectural design that has an innate frequency hierarchy by construction. We explore implicit displacement field surface reconstruction and detail transfer and demonstrate superior representational power, training stability and generalizability.

Key facts. Cited by 60 papers in the map (data through 14 Oct 2026). Builds on 38 of its 62 references that are in the map. First posted on arXiv 9 Jun 2021.

Builds on

38 of 62 references.

References · 38

  1. 2016PointNet: Deep Learning on Point Sets for 3D Classification and Segmentationcited by 5,248
  2. 2016SGDR: Stochastic Gradient Descent with Warm Restartscited by 5,045
  3. 2017PointNet++: Deep Hierarchical Feature Learning on Point Sets in a Metric Spacecited by 4,401
  4. 2019DeepSDF: Learning Continuous Signed Distance Functions for Shape Representationcited by 2,689
  5. 2017FiLM: Visual Reasoning with a General Conditioning Layercited by 2,333
  6. 2020Implicit Neural Representations with Periodic Activation Functionscited by 2,238
  7. 2020Fourier Features Let Networks Learn High Frequency Functions in Low Dimensional Domainscited by 2,200
  8. 2018Occupancy Networks: Learning 3D Reconstruction in Function Spacecited by 2,041
  9. 2020D-NeRF: Neural Radiance Fields for Dynamic Scenescited by 1,465
  10. 2018On the Spectral Bias of Neural Networkscited by 1,341
  11. 2018Learning Implicit Fields for Generative Shape Modelingcited by 1,060
  12. 2020Neural Sparse Voxel Fieldscited by 959
26 more
  1. 2019Scene Representation Networks: Continuous 3D-Structure-Aware Neural Scene Representationscited by 864
  2. 2019PIFu: Pixel-Aligned Implicit Function for High-Resolution Clothed Human Digitizationcited by 818
  3. 2020Convolutional Occupancy Networkscited by 761
  4. 2020pi-GAN: Periodic Implicit Generative Adversarial Networks for 3D-Aware Image Synthesiscited by 708
  5. 2019Differentiable Volumetric Rendering: Learning Implicit 3D Representations without 3D Supervisioncited by 700
  6. 2020Learning Continuous Image Representation with Local Implicit Image Functioncited by 552
  7. 2020PIFuHD: Multi-Level Pixel-Aligned Implicit Function for High-Resolution 3D Human Digitizationcited by 521
  8. 2021Neural Geometric Level of Detail: Real-time Rendering with Implicit 3D Shapescited by 426
  9. 2020Local Implicit Grid Representations for 3D Scenescited by 373
  10. 2020Deep Local Shapes: Learning Local SDF Priors for Detailed 3D Reconstructioncited by 321
  11. 2019Learning Shape Templates with Structured Implicit Functionscited by 242
  12. 2019BSP-Net: Generating Compact Meshes via Binary Space Partitioningcited by 206
  13. 2020FaceScape: a Large-scale High Quality 3D Face Dataset and Detailed Riggable 3D Face Predictioncited by 196
  14. 2016Thingi10K: A Dataset of 10,000 3D-Printing Modelscited by 183
  15. 2018Training behavior of deep neural network in frequency domaincited by 174
  16. 2019CvxNet: Learnable Convex Decompositioncited by 174
  17. 2019NASA: Neural Articulated Shape Approximationcited by 149
  18. 2020Frequency Bias in Neural Networks for Input of Non-Uniform Densitycited by 140
  19. 2020Adversarial Generation of Continuous Imagescited by 135
  20. 2019Neural Cages for Detail-Preserving 3D Deformationscited by 106
  21. 2020DualSDF: Semantic Shape Manipulation using a Two-Level Representationcited by 82
  22. 2020PatchNets: Patch-Based Generalizable Deep Implicit 3D Shape Representationscited by 81
  23. 2020Deep Geometric Texture Synthesiscited by 51
  24. 2020DECOR-GAN: 3D Shape Detailization by Conditional Refinementcited by 45
  25. 2018Understanding training and generalization in deep learning by Fourier analysiscited by 44
  26. 2020D2IM-Net: Learning Detail Disentangled Implicit Fields from Single Imagescited by 42

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2021: 6; 2022: 11; 2023: 14; 2024: 16; 2025: 10; 2026: 3.

60 papers.

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  1. 2021Neural Fields in Visual Computing and Beyondcited by 540
  2. 2021Advances in Neural Renderingcited by 365
  3. 2021BACON: Band-limited Coordinate Networks for Multiscale Scene Representationcited by 143
  4. 2022HF-NeuS: Improved Surface Reconstruction Using High-Frequency Detailscited by 121
  5. 2022EVA3D: Compositional 3D Human Generation from 2D Image Collectionscited by 111
  6. 2021DiGS : Divergence guided shape implicit neural representation for unoriented point cloudscited by 77
  7. 2024Advances in 3D Generation: A Surveycited by 63
  8. 2022Physics Informed Neural Fields for Smoke Reconstruction with Sparse Datacited by 52
  9. 2023Neural-Singular-Hessian: Implicit Neural Representation of Unoriented Point Clouds by Enforcing Singular Hessiancited by 35
  10. 2023GETAvatar: Generative Textured Meshes for Animatable Human Avatarscited by 27
  11. 2021Unsupervised Learning of Fine Structure Generation for 3D Point Clouds by 2D Projection Matchingcited by 26
  12. 2022Residual Multiplicative Filter Networks for Multiscale Reconstructioncited by 25
38 more
  1. 2023Robust Zero Level-Set Extraction from Unsigned Distance Fields Based on Double Coveringcited by 22
  2. 2022MINER: Multiscale Implicit Neural Representationscited by 20
  3. 2022Intrinsic Neural Fields: Learning Functions on Manifoldscited by 20
  4. 2022PINs: Progressive Implicit Networks for Multi-Scale Neural Representationscited by 19
  5. 2024Tuning the Frequencies: Robust Training for Sinusoidal Neural Networkscited by 19
  6. 2022NeuForm: Adaptive Overfitting for Neural Shape Editingcited by 18
  7. 2023Text2Scene: Text-driven Indoor Scene Stylization with Part-aware Detailscited by 18
  8. 2024URHand: Universal Relightable Handscited by 17
  9. 2023AvatarStudio: High-fidelity and Animatable 3D Avatar Creation from Textcited by 16
  10. 2024NeurCADRecon: Neural Representation for Reconstructing CAD Surfaces by Enforcing Zero Gaussian Curvaturecited by 12
  11. 2022Spelunking the Deep: Guaranteed Queries on General Neural Implicit Surfaces via Range Analysiscited by 11
  12. 2023ImFace++: A Sophisticated Nonlinear 3D Morphable Face Model with Implicit Neural Representationscited by 10
  13. 2022Neural Convolutional Surfacescited by 9
  14. 2024NeurCross: A Neural Approach to Computing Cross Fields for Quad Mesh Generationcited by 9
  15. 2024Neural Experts: Mixture of Experts for Implicit Neural Representationscited by 9
  16. 20232S-UDF: A Novel Two-stage UDF Learning Method for Robust Non-watertight Model Reconstruction from Multi-view Imagescited by 8
  17. 2023Deformable Model-Driven Neural Rendering for High-Fidelity 3D Reconstruction of Human Heads Under Low-View Settingscited by 7
  18. 2023NeuroGF: A Neural Representation for Fast Geodesic Distance and Path Queriescited by 7
  19. 2024Details Enhancement in Unsigned Distance Field Learning for High-fidelity 3D Surface Reconstructioncited by 7
  20. 2024Implicit Filtering for Learning Neural Signed Distance Functions from 3D Point Cloudscited by 7
  21. 2022ROAD: Learning an Implicit Recursive Octree Auto-Decoder to Efficiently Encode 3D Shapescited by 6
  22. 2023OrthoPlanes: A Novel Representation for Better 3D-Awareness of GANscited by 6
  23. 2025ART-DECO: Arbitrary Text Guidance for 3D Detailizer Constructioncited by 6
  24. 2023Harnessing Low-Frequency Neural Fields for Few-Shot View Synthesiscited by 5
  25. 2023Parameterization-driven Neural Surface Reconstruction for Object-oriented Editing in Neural Renderingcited by 4
  26. 2024DCUDF2: Improving Efficiency and Accuracy in Extracting Zero Level Sets from Unsigned Distance Fieldscited by 4
  27. 2025Geometric implicit neural representations for signed distance functionscited by 4
  28. 2024ImplicitTerrain: a Continuous Surface Model for Terrain Data Analysiscited by 3
  29. 2024Slot-guided Volumetric Object Radiance Fieldscited by 2
  30. 2024ReFiNe: Recursive Field Networks for Cross-modal Multi-scene Representationcited by 2
  31. 2024A Latent Implicit 3D Shape Model for Multiple Levels of Detailcited by 2
  32. 2025Mesh Compression with Quantized Neural Displacement Fieldscited by 2
  33. 2025Low-Rank Adaptation of Neural Fieldscited by 2
  34. 2024NeRF-Texture: Synthesizing Neural Radiance Field Texturescited by 1
  35. 2025VI3NR: Variance Informed Initialization for Implicit Neural Representationscited by 1
  36. 2025A Divide-and-Conquer Approach for Global Orientation of Non-Watertight Scene-Level Point Clouds Using 0-1 Integer Optimizationcited by 1
  37. 2025NeuVAS: Neural Implicit Surfaces for Variational Shape Modelingcited by 1
  38. 2025Hierarchical Neural Surfaces for 3D Mesh Compressioncited by 1

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