Implementing geometric algorithms robustly

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Abstract

This note is meant as a sequel to Steven Fortune’s note on ‘Robustness issues in geometric algorithms’ [For96] in these proceedings. We revisit some of the issues raised by him, such as the consistency between the combinatorial and numerical data in geometric algorithms, and then we elaborate on a number of additional topics, including issues in proving correct geometric algorithms meant to be executed with im­precise primitives, and in the rounding of geometric structures so that all their features are exactly representable.

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Guibas, L. J. (1995). Implementing geometric algorithms robustly. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1148, pp. 15–22). Springer Verlag. https://doi.org/10.1007/bfb0014477

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