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arXiv · 2503.21711

Efficient Computation of the Directional Extremal Boundary of a Union of Equal-Radius Circles

Alexander Gribov
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Abstract

This paper focuses on computing the directional extremal boundary of a union of equal-radius circles. We introduce an efficient algorithm that accurately determines this boundary by analyzing the intersections and dominant relationships among the circles. The algorithm has time complexity of O(n log n).

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Alexander Gribov. 2025-03-27. Efficient Computation of the Directional Extremal Boundary of a Union of Equal-Radius Circles. https://arxiv.org/abs/2503.21711

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