Curve reconstruction from unorganized points
By In-Kwon Lee. Computer Aided Geometric Design, 2000
316 citations recorded by the source corpus.
Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design
View Paper: https://www.semanticscholar.org/paper/4323335c12f95bc0bc9b4c57e0d02a3b2d5d8afd
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
- Daniel Cohen-Or
- Hao Zhang
- Leonidas J. Guibas
- Niloy J. Mitra
- Cláudio T. Silva
- Andrea Tagliasacchi
- Olga Sorkine-Hornung
- Thomas A. Funkhouser
In Computer Graphics and Computer-Aided Design
- Daniel Cohen-Or
- Leonidas J. Guibas
- Hao Zhang
- Cláudio T. Silva
- Niloy J. Mitra
- Marc Alexa
- Andrea Tagliasacchi
- Markus H. Gross
Citations in the corpus
- Point set surfaces (2001, methodology): “Lee [24] uses a moving-least squares approach to the reconstruction of curves from unorganized and noisy points.”
- Computing and Rendering Point Set Surfaces (2003, methodology): “Although his approach resembles the one used here (and based on theory developed in [33]), his projection procedure is different and requires several iterations to converge to a clean point set (i.e., it is not actually a projection, but more of a converging smoothing step).”
- Estimating surface normals in noisy point cloud data (2003, background): “To do surface reconstruction on a PCD, one would first need to filter out the noise from the PCD, usually by some smoothing filter [12].”
- Asymptotic theory for density ridges (2014, background): “…distance appear in estimating density level sets [Cuevas, González-Manteiga and Rodríguez-Casal (2006), Rinaldo and Wasserman (2010), Tsybakov (1997), Walther (1997)], curves [Cheng et al. (2005), Lee (2000)], filaments [Genovese et al. (2012a, 2014)] and manifolds [Genovese et al. (2012b, 2012c)].”
- Curve skeleton extraction from incomplete point cloud (2009, methodology): “The thinning process uses 1D moving least squares (MLS) construction [Lee 2000] which also allows us to differentiate between joints and branches; see Figure 5(d).”
- Consistent mesh partitioning and skeletonisation using the shape diameter function (2008, methodology): “However, in contrast to [ 13 ], we search for a treelike structure of line-segments connected at sharp points.”
- Automatic Reconstruction of As-Built Building Information Models from Laser-Scanned Point Clouds: A Review of Related Techniques | NIST (2010, methodology): “These modeling algorithms first estimate the trajectory of the pipe center, which is known as the spine curve, and then model the curveusing straight and curved segments [33] or splines [4,55].”