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I can think of computationally intensive probabilistic algorithms to find these circles (e.g. hill-climbing by randomly mutating circles), but is there a way to guarantee optimality? I.e. find the absolute largest circle inside a given polygon.

Is there any information about how these particular circles were generated?




There appears to be an O(n log n) algorithm: https://stackoverflow.com/questions/4279478/largest-circle-i...




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