Efficient Implementation of Marching Cubes' Cases with Topological Guarantees
By Thomas Lewiner, Hélio Lopes, Antônio Wilson Vieira, Geovan Tavares. 2003
586 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
- Jiajun Wu
- Josh Tenenbaum
- Chengkai Zhang
- William T. Freeman
- Zhoutong Zhang
- Xiuming Zhang
- Jitendra Malik
- Andreas Geiger
In Computer Graphics and Computer-Aided Design
- Jiajun Wu
- Josh Tenenbaum
- Jimei Yang
- William T. Freeman
- Panos Achlioptas
- Bill Freeman
- Olga Diamanti
- Ioannis Mitliagkas
Citations in the corpus
- Learning to Reconstruct Shapes from Unseen Classes (2018, methodology): “For the depth to spherical map projection, we first convert depth into 3D point clouds using camera parameters, and then turn them into surfaces with the marching cubes algorithm [Lewiner et al., 2003].”
- Pix3D: Dataset and Methods for Single-Image 3D Shape Modeling (2018, methodology): “We first extract the isosurface of each predicted voxel using the Lewiner marching cubes [37] algorithm.”
- Learning Representations and Generative Models for 3D Point Clouds (2017, methodology): “To do this conversion we use the marching-cubes (Lewiner et al., 2003) algorithm with an isovalue of 0.1 for the former method (per authors’ suggestions) and 0.5 for our voxel-AE.”
- BodyNet: Volumetric Inference of 3D Human Body Shapes (2018, methodology): “For the visualization we threshold the real-valued 3D output of the BodyNet using 0.5 as threshold and show the fitted surface [59].”
- SIR2011: a new package for crystal structure determination and refinement (2012, methodology): “The graphical representation of the electron density map has been realized using some routines from MarchingCubes (Lewiner et al., 2003); the graphical representation of the secondary structure of proteins is based on the paper by Carson (1997).”
- A survey of the marching cubes algorithm (2006, background): “A full table-based implementation has also been described [176] (and its source code made available online).”
- Lattice-Boltzmann simulations in reconstructed parametrized porous media (2006, methodology): “2003 ) and which is designed to avoid cracks in the surface.”
- Drishti: a volume exploration and presentation tool (2012, methodology): “In Drishti, users can generate water tight meshes [28] either by using voxel values or voxel opacities.”