Spectral surface reconstruction from noisy point clouds

By R. Kolluri, Jonathan Richard Shewchuk, James F. O'Brien. 2004

311 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design, Geology

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Vladlen Koltun
2. Lorenzo Rosasco
3. Hao Zhang
4. Jaesik Park
5. Qian-Yi Zhou
6. Alessandro Toigo
7. Ernesto De Vito
8. Varun Jain

In Computer Graphics and Computer-Aided Design

1. Hao Zhang
2. Hugues Hoppe
3. M. Kazhdan
4. Vladlen Koltun
5. Qian-Yi Zhou
6. Jaesik Park
7. Daniel Cohen-Or
8. Varun Jain

In Geology

1. Vladlen Koltun
2. Jaesik Park
3. Qian-Yi Zhou
4. Hugues Hoppe
5. Varun Jain
6. M. Kazhdan
7. Hao Zhang
8. Christopher Bongsoo Choy

Citations in the corpus

• Screened poisson surface reconstruction (2013, methodology): “…grid, and the resulting elements are partitioned into inside and outside regions using an analysis of cells [Amenta et al. 2001; Boissonnat and Oudot 2005; Podolak and Rusinkiewicz 2005], eigenvector computation [Kolluri et al. 2004], or graph cut [Labatut et al. 2009; Hornung and Kobbelt 2006].”
• Fast Global Registration (2016, methodology): “To conduct controlled experiments, we used three well-known models from the AIM@SHAPE repository (Bimba, Dancing Children, and Chinese Dragon), the Berkeley Angel dataset [22], and the Stanford Bunny.”
• Robust 3D Shape Correspondence in the Spectral Domain (2006, background): “Recently, they have found several applications in geometry processing as well, including mesh segmentation [22], spherical parameterization [16], and surface reconstruction [19].”
• Parallel Poisson Surface Reconstruction (2009, methodology): “When noise is present in the data, the resulting surface is often jagged and must be refit to the samples [7] or smoothed [5] in post-processing.”
• Learning Sets with Separating Kernels (2012, background): “The goal in this case is to find a smooth function f that gives the Cartesian equation of the hyper-surface, see for example [42, 37, 38].”
• Voronoi-based variational reconstruction of unoriented point sets (2007, unknown): “More recently, a spectral reconstruction method [ KSO04 ] has been shown remarkably robust to outliers due to its reliance on graph partitioning algorithms [SM00].”
• Signing the Unsigned: Robust Surface Reconstruction from Raw Pointsets (2010, unknown): “Spectral methods [KSO04] or graph cut approaches [HK06] can disambiguate the inside from the outside of a low-genus sampled object even in the presence of a significant number of outliers.”