Computational Aspects of the Hausdorff Distance in Unbounded Dimension
نویسنده
چکیده
We study the computational complexity of determining the Hausdorff distance of two polytopes given in halfspaceor vertex-presentation in arbitrary dimension. Subsequently, a matching problem is investigated where a convex body is allowed to be homothetically transformed in order to minimize its Hausdorff distance to another one. For this problem, we characterize optimal solutions, deduce a Helly-type theorem and give polynomial time (approximation) algorithms for polytopes.
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عنوان ژورنال:
- JoCG
دوره 5 شماره
صفحات -
تاریخ انتشار 2014