Linear Correlations between Spatial and Normal Noise in Triangle Meshes

@article{Yang2013LinearCB,
  title={Linear Correlations between Spatial and Normal Noise in Triangle Meshes},
  author={Ying Yang and Norbert Peyerimhoff and Ioannis P. Ivrissimtzis},
  journal={IEEE Transactions on Visualization and Computer Graphics},
  year={2013},
  volume={19},
  pages={45-55}
}
We study the relationship between the noise in the vertex coordinates of a triangle mesh and normal noise. First, we compute in closed form the expectation for the angle θ between the new and the old normal when uniform noise is added to a single vertex of a triangle. Next, we propose and experimentally validate an approximation and lower and upper bounds for θ when uniform noise is added to all three vertices of the triangle. In all cases, for small amounts of spatial noise that do not… CONTINUE READING
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