Epsilon-regular sets and intervals

@article{Qi2005EpsilonregularSA,
  title={Epsilon-regular sets and intervals},
  author={Jianchang Qi and Vadim Shapiro},
  journal={International Conference on Shape Modeling and Applications 2005 (SMI' 05)},
  year={2005},
  pages={308-317}
}
Regularity of sets (both open and closed) is fundamental in the classical theory of solid modeling and is implicit in many shape modeling representations. However, strictly speaking, the notion of regularity cannot be applied to real world shapes and/or computed geometric models that usually exhibit irregularity in the forms or errors, uncertainty, and/or approximation. We propose a notion of /spl epsiv/-regularity that quantifies regularity of shapes in terms of set intervals and subsumes the… CONTINUE READING
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