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Discrete and Computational Geometry
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Computing circular separability

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Two sets of planar points S1 and S2 are circularly separable if there is a circle that encloses S1 but excludes S2. We show that deciding whether two sets are circularly separable can be accomplished in O(n) time using linear programming. We also show that a smallest separating circle can be found in O(n) time, and largest separating circles can be found in O(n log n) time. Finally we establish that all these results are optimal. © 1986 Springer-Verlag New York Inc.

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Discrete and Computational Geometry

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