Approximating Bounded, Non-Orientable Surfaces from Points

@inproceedings{Adamson2004ApproximatingBN,
  title={Approximating Bounded, Non-Orientable Surfaces from Points},
  author={Anders Adamson and Marc Alexa},
  booktitle={SMI},
  year={2004}
}
We present an approach to surface approximation from points that allows reconstructing surfaces with boundaries, including globally non-orientable surfaces. The surface is defined implicitly using directions of weighted co-variances and weighted averages of the points. Specifically, a point belongs to the surface, if its direction to the weighted average has no component into the direction of smallest covariance. For bounded surfaces, we require in addition that any point on the surface is… CONTINUE READING
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