Robust Geometric Computation

@inproceedings{Yap2016RobustGC,
  title={Robust Geometric Computation},
  author={Chee-Keng Yap and Vikram Sharma},
  booktitle={Encyclopedia of Algorithms},
  year={2016}
}
Nonrobustness refers to qualitative or catastrophic failures in geometric algorithms arising from numerical errors. Section 45.1 provides background on these problems. Although nonrobustness is already an issue in “purely numerical” computation, the problem is compounded in “geometric computation.” In Section 45.2 we characterize such computations. Researchers trying to create robust geometric software have tried two approaches: making fixed-precision computation robust (Section 45.3), and… 

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