Barycentric Coordinates on Surfaces

@article{Rustamov2010BarycentricCO,
  title={Barycentric Coordinates on Surfaces},
  author={Raif M. Rustamov},
  journal={Comput. Graph. Forum},
  year={2010},
  volume={29},
  pages={1507-1516}
}
This paper introduces a method for defining and efficiently computing barycentric coordinates with respect to polygons on general surfaces. Our construction is geared towards injective polygons (polygons that can be enclosed in a metric ball of an appropriate size) and is based on replacing the linear precision property of planar coordinates by a requirement in terms of center of mass, and generalizing this requirement to the surface setting. We show that the resulting surface barycentric… CONTINUE READING

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