Lines Avoiding Unit Balls in Three Dimensions
نویسندگان
چکیده
Let B be a set of n unit balls in R3. We show that the combinatorial complexity of the space of lines in R3 that avoid all the balls of B is O(n3+ε), for any ε > 0. This result has connections to problems in visibility, ray shooting, motion planning, and geometric optimization.
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ورودعنوان ژورنال:
- Discrete & Computational Geometry
دوره 34 شماره
صفحات -
تاریخ انتشار 2005