Affiliation:
1. University of Toronto, Canada
2. University of Toronto, Canada and Adobe Research, Canada
Abstract
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.
Funder
NSERC Vanier
New Frontiers of Research Fund
Ontario Early Research Award
Canada Research Chairs Program
Sloan Research Fellowship
DSI Catalyst Grant
NSERC Discovery
Adobe Research Fellowship
Publisher
Association for Computing Machinery (ACM)
Subject
Computer Graphics and Computer-Aided Design
Reference58 articles.
1. A review of uncertainty quantification in deep learning: Techniques, applications and challenges
2. Point set surfaces
3. Pierre Alliez David Cohen-Steiner Yiying Tong and Mathieu Desbrun. 2007. Voronoi-based variational reconstruction of unoriented point sets. In Eurographics SGP. Pierre Alliez David Cohen-Steiner Yiying Tong and Mathieu Desbrun. 2007. Voronoi-based variational reconstruction of unoriented point sets. In Eurographics SGP.
4. 3D preserving xviii century barroque masterpiece: Challenges and results on the digital preservation of Aleijadinho's sculpture of the Prophet Joel
5. Gavin Barill , Neil G Dickson , Ryan Schmidt , David IW Levin, and Alec Jacobson . 2018 . Fast winding numbers for soups and clouds. ACM ToG ( 2018). Gavin Barill, Neil G Dickson, Ryan Schmidt, David IW Levin, and Alec Jacobson. 2018. Fast winding numbers for soups and clouds. ACM ToG (2018).
Cited by
12 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Robust Containment Queries over Collections of Rational Parametric Curves via Generalized Winding Numbers;ACM Transactions on Graphics;2024-07-19
2. A Heat Method for Generalized Signed Distance;ACM Transactions on Graphics;2024-07-19
3. Lightning-fast Method of Fundamental Solutions;ACM Transactions on Graphics;2024-07-19
4. Consistent Point Orientation for Manifold Surfaces via Boundary Integration;Special Interest Group on Computer Graphics and Interactive Techniques Conference Conference Papers '24;2024-07-13
5. Reach for the Arcs: Reconstructing Surfaces from SDFs via Tangent Points;Special Interest Group on Computer Graphics and Interactive Techniques Conference Conference Papers '24;2024-07-13