Abstract
From the prehistory of computational geometry it has been apparent that geometric computation is fraught with problems. Although these problems have become less troublesome over the ensuing thirty years, they have not been eliminated. The paper discusses the sources of geometric errors in applied computational geometry systems and reviews various attempts at eliminating them in practical systems. No completely satisfactory solution has been devised, but for some restricted cases, there has been progress. A possible way ahead which may enable provably correct systems to be implemented is suggested.
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Forrest, A.R. (2002). Computational Geometry and Uncertainty. In: Winkler, J., Niranjan, M. (eds) Uncertainty in Geometric Computations. The Springer International Series in Engineering and Computer Science, vol 704. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0813-7_6
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DOI: https://doi.org/10.1007/978-1-4615-0813-7_6
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