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  Robust point location in approximate polygons (1991) [2 citations — 0 self]

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by A. James Stewart
In Proc. 3rd Canad. Conf. Comput. Geom
http://www.dgp.toronto.edu/~jstewart/papers/cccg91.ps.gz
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Abstract:

Most geometric algorithms assume that perfect "real " arithmetic is available. When these algorithms are implemented they often fail because this assumption is not borne out; that is, these algorithms

Citations

90 Epsilon geometry: building robust algorithms from imprecise computations – Guibas, Salesin, et al. - 1989
87 Finite-resolution computational geometry – Greene, Yao - 1986
73 Verifiable implementations of geometric algorithms using finite precision arithmetic – Milenkovic - 1988
48 Stable maintenance of point set triangulations in two dimensions – Fortune - 1989
45 Towards implementing robust geometric computations – Hoffmann, Hopcroft, et al. - 1988
36 Double precision geometry: a general technique for calculating line and segment intersections using rounded arithmetic – Milenkovic - 1989
22 On the Representation and Manipulation of Rigid Solids – Karasick - 1988
18 Two design principles of geometric algorithms in finite-precision arithmetic – Sugihara, Iri - 1989
14 Topology-oriented approach to robustness and its applications to several Voronoi-diagram algorithms – Sugihara, Ooishi, et al. - 1990
13 Partitioning polyhedral objects into nonintersecting parts – Segal, Sequin - 1988
7 Recipes for geometry & numerical analysis - Part I: An empirical study – Dobkin, Silver - 1988
1 Construction of the Voronoi diagram for over 10 generators in single-precision arithmetic – Sugihara, Iri - 1989