Stochastic Poisson Surface Reconstruction
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Abstract (arXiv)
We introduce a statistical extension of the classic Poisson Surface Reconstruction algorithm for recovering shapes from 3D point clouds. Instead of outputting an implicit function, we represent the reconstructed shape as a modified Gaussian Process, which allows us to conduct statistical queries (e.g., the likelihood of a point in space being on the surface or inside a solid). We show that this perspective: improves PSR's integration into the online scanning process, broadens its application realm, and opens the door to other lines of research such as applying task-specific priors.
Key facts. Cited by 13 papers in the map (data through 14 Oct 2026). First posted on arXiv 30 Jun 2022.
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Citing papers per year: 2022: 1; 2023: 4; 2024: 2; 2025: 3; 2026: 3.
13 papers.
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- 2023Neural-Singular-Hessian: Implicit Neural Representation of Unoriented Point Clouds by Enforcing Singular Hessiancited by 35
- 2023Ghost on the Shell: An Expressive Representation of General 3D Shapescited by 24
- 2023Objects as volumes: A stochastic geometry view of opaque solidscited by 15
- 2022Point normal orientation and surface reconstruction by incorporating isovalue constraints to Poisson equationcited by 8
- 2023Neural Stochastic Screened Poisson Reconstructioncited by 7
- 2024Monge-Ampere Regularization for Learning Arbitrary Shapes from Point Cloudscited by 6
- 2024Consistent Point Orientation for Manifold Surfaces via Boundary Integrationcited by 4
- 2025Stochastic Poisson Surface Reconstruction with One Solve using Geometric Gaussian Processescited by 2
- 2026A Bayesian Approach for Task-Specific Next-Best-View Selection with Uncertain Geometrycited by 1
- 2025Approximating Signed Distance Fields With Sparse Ellipsoidal Radial Basis Function Networks: A Dynamic Multi-Objective Optimization Strategycited by 0
- 2025Wavelet-based Global Orientation and Surface Reconstruction for Point Cloudscited by 0
- 2026Uncertainty Quantification for Cardiac Shape Reconstruction with Deep Signed Distance Functions via MCMC methodscited by 0
- 2026SplatCtrl: Perception-Action Coupling via Gaussian Scene Representations and Reactive Robot Control9 Jul 2026
- 2026Uncertainty Quantification for Cardiac Shape Reconstruction with Deep Signed Distance Functions via MCMC methods8 May 2026
- 2026A Bayesian Approach for Task-Specific Next-Best-View Selection with Uncertain Geometry6 May 2026
- 2025Wavelet-based Global Orientation and Surface Reconstruction for Point Clouds19 Jun 2025
- 2025Approximating Signed Distance Fields With Sparse Ellipsoidal Radial Basis Function Networks: A Dynamic Multi-Objective Optimization Strategy5 May 2025
- 2025Stochastic Poisson Surface Reconstruction with One Solve using Geometric Gaussian Processes24 Mar 2025
- 2024Monge-Ampere Regularization for Learning Arbitrary Shapes from Point Clouds24 Oct 2024
- 2024Consistent Point Orientation for Manifold Surfaces via Boundary Integration3 Jul 2024
- 2023Objects as volumes: A stochastic geometry view of opaque solids24 Dec 2023
- 2023Ghost on the Shell: An Expressive Representation of General 3D Shapes23 Oct 2023
- 2023Neural Stochastic Screened Poisson Reconstruction21 Sep 2023
- 2023Neural-Singular-Hessian: Implicit Neural Representation of Unoriented Point Clouds by Enforcing Singular Hessian4 Sep 2023
- 2023Neural-Singular-Hessian: Implicit Neural Representation of Unoriented Point Clouds by Enforcing Singular Hessiancited by 35
- 2023Ghost on the Shell: An Expressive Representation of General 3D Shapescited by 24
- 2023Objects as volumes: A stochastic geometry view of opaque solidscited by 15
- 2022Point normal orientation and surface reconstruction by incorporating isovalue constraints to Poisson equationcited by 8
- 2023Neural Stochastic Screened Poisson Reconstructioncited by 7
- 2024Monge-Ampere Regularization for Learning Arbitrary Shapes from Point Cloudscited by 6
- 2024Consistent Point Orientation for Manifold Surfaces via Boundary Integrationcited by 4
- 2025Stochastic Poisson Surface Reconstruction with One Solve using Geometric Gaussian Processescited by 2
- 2026A Bayesian Approach for Task-Specific Next-Best-View Selection with Uncertain Geometrycited by 1
- 2025Approximating Signed Distance Fields With Sparse Ellipsoidal Radial Basis Function Networks: A Dynamic Multi-Objective Optimization Strategycited by 0
- 2025Wavelet-based Global Orientation and Surface Reconstruction for Point Cloudscited by 0
- 2026Uncertainty Quantification for Cardiac Shape Reconstruction with Deep Signed Distance Functions via MCMC methodscited by 0
12 most cited of 13 All 13 (JSON)
- 2026SplatCtrl: Perception-Action Coupling via Gaussian Scene Representations and Reactive Robot Control9 Jul 2026
- 2026Uncertainty Quantification for Cardiac Shape Reconstruction with Deep Signed Distance Functions via MCMC methods8 May 2026
- 2026A Bayesian Approach for Task-Specific Next-Best-View Selection with Uncertain Geometry6 May 2026
- 2025Wavelet-based Global Orientation and Surface Reconstruction for Point Clouds19 Jun 2025
- 2025Approximating Signed Distance Fields With Sparse Ellipsoidal Radial Basis Function Networks: A Dynamic Multi-Objective Optimization Strategy5 May 2025
- 2025Stochastic Poisson Surface Reconstruction with One Solve using Geometric Gaussian Processes24 Mar 2025
- 2024Monge-Ampere Regularization for Learning Arbitrary Shapes from Point Clouds24 Oct 2024
- 2024Consistent Point Orientation for Manifold Surfaces via Boundary Integration3 Jul 2024
- 2023Objects as volumes: A stochastic geometry view of opaque solids24 Dec 2023
- 2023Ghost on the Shell: An Expressive Representation of General 3D Shapes23 Oct 2023
- 2023Neural Stochastic Screened Poisson Reconstruction21 Sep 2023
- 2023Neural-Singular-Hessian: Implicit Neural Representation of Unoriented Point Clouds by Enforcing Singular Hessian4 Sep 2023
12 newest of 13 All 13 (JSON)