Stochastic Poisson Surface Reconstruction

Author:

Sellán Silvia1,Jacobson Alec2

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).

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