Simplification of Tetrahedral Meshes with Error Bounds

@article{Trotts1999SimplificationOT,
  title={Simplification of Tetrahedral Meshes with Error Bounds},
  author={Issac J. Trotts and Bernd Hamann and Kenneth I. Joy},
  journal={IEEE Trans. Vis. Comput. Graph.},
  year={1999},
  volume={5},
  pages={224-237}
}
We present a method for the construction of multiple levels of tetrahedral meshes approximating a trivariate scalar-valued function at different levels of detail. Starting with an initial, high-resolution triangulation of a three-dimensional region, we construct coarser representation levels by collapsing edges of the mesh. Each triangulation defines a linear spline function, where the function values associated with the vertices are the spline coefficients. Error bounds are stored for… CONTINUE READING
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