Estimating curvatures and their derivatives on triangle meshes

By Szymon Rusinkiewicz. 2004

576 citations recorded by the source corpus.

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

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In Computational Mechanics

In Computer Graphics and Computer-Aided Design

Citations in the corpus

PCPNet Learning Local Shape Properties from Raw Point Clouds (2017, methodology): “The curvature estimation is performed using the method suggested by Rusinkiewicz in [Rus04] (the code was provided by authors of [SF15]).”
Schelling points on 3D surface meshes (2012, methodology): “• Curvatures: the Gauss, mean, minimum, and maximum curvatures at V , as computed in [Rusinkiewicz 2004].”
Three-Dimensional Large-Scale Aerodynamic Shape Optimization Based on Shape Calculus (2013, methodology): “The mean curvature κ of the surface mesh is computed as described in [28] and the necessary normal derivatives are computed automaticallywithin the flow solver software environment.”
Extracting lines of curvature from noisy point clouds (2009, methodology): “The visualization is based on the color scheme suggested in (41).”
Automatic Reconstruction of As-Built Building Information Models from Laser-Scanned Point Clouds: A Review of Related Techniques | NIST (2010, background): “Curvature estimation involves determining the principal curvature directions, which are the tangential surface directions of minimal and maximal curvature, or determining functions of the principal curvature, such as mean or Gaussian curvature [79].”
SHREC 2007 3 D Shape Retrieval Contest (2006, background): “Each particular representation is suitable to cope with particular application needs.”
Scale Space Meshing of Raw Data Point Sets (2011, background): “In [Rus04], [TRZS04], the tensor curvature was estimated on each face of a mesh surface.”