Shape Fitting on Point Sets with Probability Distributions

@inproceedings{Lffler2009ShapeFO,
  title={Shape Fitting on Point Sets with Probability Distributions},
  author={Maarten L{\"o}ffler and Jeff M. Phillips},
  booktitle={ESA},
  year={2009}
}
We consider problems on data sets where each data point has uncertainty described by an individual probability distribution. We develop several frameworks and algorithms for calculating statistics on these uncertain data sets. Our examples focus on geometric shape fitting problems. We prove approximation guarantees for the algorithms with respect to the full probability distributions. We then empirically demonstrate that our algorithms are simple and practical, solving for a constant hidden by… CONTINUE READING
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