Differentiable Rendering of Neural SDFs through Reparameterization
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Abstract (arXiv)
We present a method to automatically compute correct gradients with respect to geometric scene parameters in neural SDF renderers. Recent physically-based differentiable rendering techniques for meshes have used edge-sampling to handle discontinuities, particularly at object silhouettes, but SDFs do not have a simple parametric form amenable to sampling. Instead, our approach builds on area-sampling techniques and develops a continuous warping function for SDFs to account for these discontinuities. Our method leverages the distance to surface encoded in an SDF and uses quadrature on sphere tracer points to compute this warping function. We further show that this can be done by subsampling the points to make the method tractable for neural SDFs. Our differentiable renderer can be used to optimize neural shapes from multi-view images and produces comparable 3D reconstructions to recent SDF-based inverse rendering methods, without the need for 2D segmentation masks to guide the geometry optimization and no volumetric approximations to the geometry.
Key facts. Cited by 26 papers in the map (data through 14 Oct 2026). Builds on 21 of its 59 references that are in the map. First posted on arXiv 10 Jun 2022.
Builds on
21 of 59 references.
References · 21
- 2019DeepSDF: Learning Continuous Signed Distance Functions for Shape Representationcited by 2,689
- 2021NeuS: Learning Neural Implicit Surfaces by Volume Rendering for Multi-view Reconstructioncited by 1,712
- 2021Volume Rendering of Neural Implicit Surfacescited by 996
- 2020Neural Sparse Voxel Fieldscited by 959
- 2020Implicit Geometric Regularization for Learning Shapescited by 710
- 2019Differentiable Volumetric Rendering: Learning Implicit 3D Representations without 3D Supervisioncited by 700
- 2021UNISURF: Unifying Neural Implicit Surfaces and Radiance Fields for Multi-View Reconstructioncited by 646
- 2021Neural Fields in Visual Computing and Beyondcited by 540
- 2017Neural 3D Mesh Renderercited by 437
- 2019Soft Rasterizer: A Differentiable Renderer for Image-based 3D Reasoningcited by 420
- 2019SAL: Sign Agnostic Learning of Shapes from Raw Datacited by 390
- 2021PhySG: Inverse Rendering with Spherical Gaussians for Physics-based Material Editing and Relightingcited by 335
9 more
- 2020Neural Reflectance Fields for Appearance Acquisitioncited by 196
- 2019Neural Volumes: Learning Dynamic Renderable Volumes from Imagescited by 173
- 2019SDFDiff: Differentiable Rendering of Signed Distance Fields for 3D Shape Optimizationcited by 159
- 2020MeshSDF: Differentiable Iso-Surface Extractioncited by 112
- 2021Neural Lumigraph Renderingcited by 105
- 2020Deep Reflectance Volumes: Relightable Reconstructions from Multi-View Photometric Imagescited by 98
- 2016A Versatile Scene Model with Differentiable Visibility Applied to Generative Pose Estimationcited by 42
- 2021Differentiable Surface Rendering via Non-Differentiable Samplingcited by 28
- 2019Differentiable Visual Computingcited by 3
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Citing papers per year: 2022: 2; 2023: 10; 2024: 9; 2025: 3; 2026: 2.
26 papers.
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- 2023Neural-PBIR Reconstruction of Shape, Material, and Illuminationcited by 45
- 2024IllumiNeRF: 3D Relighting Without Inverse Renderingcited by 29
- 2023Factorized Inverse Path Tracing for Efficient and Accurate Material-Lighting Estimationcited by 23
- 2022ShadowNeuS: Neural SDF Reconstruction by Shadow Ray Supervisioncited by 17
- 2023Eclipse: Disambiguating Illumination and Materials using Unintended Shadowscited by 14
- 2024Rasterized Edge Gradients: Handling Discontinuities Differentiablycited by 14
- 2024NeRF as a Non-Distant Environment Emitter in Physics-based Inverse Renderingcited by 8
- 2024HotSpot: Signed Distance Function Optimization with an Asymptotically Sufficient Conditioncited by 8
- 2024A Simple Approach to Differentiable Rendering of SDFscited by 7
- 2024DiffCSG: Differentiable CSG via Rasterizationcited by 7
- 2023A Theory of Topological Derivatives for Inverse Rendering of Geometrycited by 6
- 20223D Neural Sculpting (3DNS): Editing Neural Signed Distance Functionscited by 4
14 more
- 2023Differentiable Shadow Mapping for Efficient Inverse Graphicscited by 4
- 2026DiffSoup: Direct Differentiable Rasterization of Triangle Soup for Extreme Radiance Field Simplificationcited by 4
- 2023A Review of Deep Learning-Powered Mesh Reconstruction Methodscited by 3
- 2023PG-NeuS: Robust and Efficient Point Guidance for Multi-View Neural Surface Reconstructioncited by 3
- 2024Many-Worlds Inverse Renderingcited by 3
- 2023RNA: Relightable Neural Assetscited by 2
- 2023Single-view 3D reconstruction via inverse procedural modelingcited by 1
- 2023Weakly-Supervised 3D Reconstruction of Clothed Humans via Normal Mapscited by 1
- 2024Differentiable Convex Polyhedra Optimization from Multi-view Imagescited by 1
- 2025Interactive Stroke-based Neural SDF Sculptingcited by 1
- 2024Probabilistic Directed Distance Fields for Ray-Based Shape Representationscited by 0
- 2025Physically Plausible Human-Object Rendering from Sparse Views via 3D Gaussian Splattingcited by 0
- 2025Automated design of compound lenses with discrete-continuous optimizationcited by 0
- 2026GradInf: Gradient Estimation as Probabilistic Inferencecited by 0
- 2026GradInf: Gradient Estimation as Probabilistic Inference8 Jul 2026
- 2026DiffSoup: Direct Differentiable Rasterization of Triangle Soup for Extreme Radiance Field Simplification28 Mar 2026
- 2025Automated design of compound lenses with discrete-continuous optimization28 Sep 2025
- 2025Physically Plausible Human-Object Rendering from Sparse Views via 3D Gaussian Splatting12 Mar 2025
- 2025Interactive Stroke-based Neural SDF Sculpting5 Feb 2025
- 2024HotSpot: Signed Distance Function Optimization with an Asymptotically Sufficient Condition21 Nov 2024
- 2024DiffCSG: Differentiable CSG via Rasterization2 Sep 2024
- 2024Many-Worlds Inverse Rendering13 Aug 2024
- 2024Differentiable Convex Polyhedra Optimization from Multi-view Images22 Jul 2024
- 2024IllumiNeRF: 3D Relighting Without Inverse Rendering10 Jun 2024
- 2024A Simple Approach to Differentiable Rendering of SDFs14 May 2024
- 2024Rasterized Edge Gradients: Handling Discontinuities Differentiably3 May 2024
14 more
- 2024Probabilistic Directed Distance Fields for Ray-Based Shape Representations13 Apr 2024
- 2024NeRF as a Non-Distant Environment Emitter in Physics-based Inverse Rendering7 Feb 2024
- 2023RNA: Relightable Neural Assets14 Dec 2023
- 2023Weakly-Supervised 3D Reconstruction of Clothed Humans via Normal Maps27 Nov 2023
- 2023Single-view 3D reconstruction via inverse procedural modeling20 Oct 2023
- 2023PG-NeuS: Robust and Efficient Point Guidance for Multi-View Neural Surface Reconstruction12 Oct 2023
- 2023Differentiable Shadow Mapping for Efficient Inverse Graphics21 Aug 2023
- 2023A Theory of Topological Derivatives for Inverse Rendering of Geometry19 Aug 2023
- 2023Eclipse: Disambiguating Illumination and Materials using Unintended Shadows25 May 2023
- 2023Neural-PBIR Reconstruction of Shape, Material, and Illumination26 Apr 2023
- 2023Factorized Inverse Path Tracing for Efficient and Accurate Material-Lighting Estimation12 Apr 2023
- 2023A Review of Deep Learning-Powered Mesh Reconstruction Methods6 Mar 2023
- 2022ShadowNeuS: Neural SDF Reconstruction by Shadow Ray Supervision25 Nov 2022
- 20223D Neural Sculpting (3DNS): Editing Neural Signed Distance Functions28 Sep 2022
- 2023Neural-PBIR Reconstruction of Shape, Material, and Illuminationcited by 45
- 2024IllumiNeRF: 3D Relighting Without Inverse Renderingcited by 29
- 2023Factorized Inverse Path Tracing for Efficient and Accurate Material-Lighting Estimationcited by 23
- 2022ShadowNeuS: Neural SDF Reconstruction by Shadow Ray Supervisioncited by 17
- 2023Eclipse: Disambiguating Illumination and Materials using Unintended Shadowscited by 14
- 2024Rasterized Edge Gradients: Handling Discontinuities Differentiablycited by 14
- 2024NeRF as a Non-Distant Environment Emitter in Physics-based Inverse Renderingcited by 8
- 2024HotSpot: Signed Distance Function Optimization with an Asymptotically Sufficient Conditioncited by 8
- 2024A Simple Approach to Differentiable Rendering of SDFscited by 7
- 2024DiffCSG: Differentiable CSG via Rasterizationcited by 7
- 2023A Theory of Topological Derivatives for Inverse Rendering of Geometrycited by 6
- 20223D Neural Sculpting (3DNS): Editing Neural Signed Distance Functionscited by 4
12 most cited of 26 All 26 (JSON)
- 2026GradInf: Gradient Estimation as Probabilistic Inference8 Jul 2026
- 2026DiffSoup: Direct Differentiable Rasterization of Triangle Soup for Extreme Radiance Field Simplification28 Mar 2026
- 2025Automated design of compound lenses with discrete-continuous optimization28 Sep 2025
- 2025Physically Plausible Human-Object Rendering from Sparse Views via 3D Gaussian Splatting12 Mar 2025
- 2025Interactive Stroke-based Neural SDF Sculpting5 Feb 2025
- 2024HotSpot: Signed Distance Function Optimization with an Asymptotically Sufficient Condition21 Nov 2024
- 2024DiffCSG: Differentiable CSG via Rasterization2 Sep 2024
- 2024Many-Worlds Inverse Rendering13 Aug 2024
- 2024Differentiable Convex Polyhedra Optimization from Multi-view Images22 Jul 2024
- 2024IllumiNeRF: 3D Relighting Without Inverse Rendering10 Jun 2024
- 2024A Simple Approach to Differentiable Rendering of SDFs14 May 2024
- 2024Rasterized Edge Gradients: Handling Discontinuities Differentiably3 May 2024
12 newest of 26 All 26 (JSON)