Computer Science > Computer Vision and Pattern Recognition
arXiv:2407.03165 (cs)
[Submitted on 3 Jul 2024]
Title:Consistent Point Orientation for Manifold Surfaces via Boundary Integration
View a PDF of the paper titled Consistent Point Orientation for Manifold Surfaces via Boundary Integration, by Weizhou Liu and 6 other authors
View PDFHTML (experimental)Abstract:This paper introduces a new approach for generating globally consistent normals for point clouds sampled from manifold surfaces. Given that the generalized winding number (GWN) field generated by a point cloud with globally consistent normals is a solution to a PDE with jump boundary conditions and possesses harmonic properties, and the Dirichlet energy of the GWN field can be defined as an integral over the boundary surface, we formulate a boundary energy derived from the Dirichlet energy of the GWN. Taking as input a point cloud with randomly oriented normals, we optimize this energy to restore the global harmonicity of the GWN field, thereby recovering the globally consistent normals. Experiments show that our method outperforms state-of-the-art approaches, exhibiting enhanced robustness to noise, outliers, complex topologies, and thin structures. Our code can be found at \url{this https URL}.
| Comments: | accepted in siggraph2024 |
| Subjects: | Computer Vision and Pattern Recognition (cs.CV); Graphics (cs.GR) |
| Cite as: | arXiv:2407.03165 [cs.CV] |
| (orarXiv:2407.03165v1 [cs.CV] for this version) | |
| https://doi.org/10.48550/arXiv.2407.03165 arXiv-issued DOI via DataCite |
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View a PDF of the paper titled Consistent Point Orientation for Manifold Surfaces via Boundary Integration, by Weizhou Liu and 6 other authors
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