Estimating curvatures and their derivatives on triangle meshes

@article{Rusinkiewicz2004EstimatingCA,
  title={Estimating curvatures and their derivatives on triangle meshes},
  author={Szymon Rusinkiewicz},
  journal={Proceedings. 2nd International Symposium on 3D Data Processing, Visualization and Transmission, 2004. 3DPVT 2004.},
  year={2004},
  pages={486-493}
}
The computation of curvature and other differential properties of surfaces is essential for many techniques in analysis and rendering. We present a finite-differences approach for estimating curvatures on irregular triangle meshes that may be thought of as an extension of a common method for estimating per-vertex normals. The technique is efficient in space and time, and results in significantly fewer outlier estimates while more broadly offering accuracy comparable to existing methods. It… CONTINUE READING

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