Laplacian mesh optimization
By Andrew Nealen, Takeo Igarashi, Olga Sorkine-Hornung, Marc Alexa. 2006
411 citations recorded by the source corpus.
Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design
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
- Matthias Nießner
- Michael M. Bronstein
- Jiajun Wu
- Angela Dai
- Josh Tenenbaum
- A. Bronstein
- Leonidas J. Guibas
- Charles Ruizhongtai Qi
In Computer Graphics and Computer-Aided Design
- Matthias Nießner
- Angela Dai
- Jiajun Wu
- Josh Tenenbaum
- Michael M. Bronstein
- Andrew Markham
- Bo Yang
- Agathoniki Trigoni
Citations in the corpus
- Learning Shape Priors for Single-View 3D Completion and Reconstruction (2018, methodology): “Traditional methods have attempted to complete shapes with local surface primitives, or to formulate it as an optimization problem [35,44], e.”
- Shape Completion Using 3D-Encoder-Predictor CNNs and Shape Synthesis (2016, methodology): “In particular, filling in small holes has received much attention; for instance, one could fit in local surface primitives, such as planes or quadrics, or address the problem with a continuous energy minimization; e.g., with Laplacian smoothing [38, 25, 47].”
- PCN: Point Completion Network (2018, methodology): “For example, surface reconstruction methods [3, 10, 33, 41, 49, 54, 62] generate smooth interpolations to fill holes in locally incomplete scans.”
- Coupled quasi‐harmonic bases (2012, methodology): “Methods based on the Laplace-Beltrami operator have been used in a wide range of applications, including remeshing [Kob97,NISA06], parametrization [FH05], compression [KG00], recognition [RWP05, Rus07], and clustering.”
- ScanComplete: Large-Scale Scene Completion and Semantic Segmentation for 3D Scans (2017, methodology): “Traditional approaches, such as Laplacian hole filling [36, 21, 44] or Poisson Surface reconstruction [13, 14] can fill small holes.”
- 3D Object Dense Reconstruction from a Single Depth View (2018, methodology): “Traditional reconstruction approaches typically use interpolation techniques such as plane fitting, Laplacian hole filling [6] [7], or Poisson surface estimation [8] [9] to infer the underlying 3D structure.”