find a point such that the maximum distance to any point in a set of points P is minimized

2d, algorithm, graph-theory

Solution

This is the smallest circle problem.

Problem

Given a set of points in 2d-space P, where Pi = (Xi, Yi), I need to find a target point T such that the maximum distance to any Pi is minimized. T does not need to exist in P, and can be defined arbitrarily Is there an algorithm I can use for this?

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