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Abstract:
We illustrate a simple algorithm for approximating the medial axis of a 2D
shape with smooth boundary from a sample of this boundary. The algorithm is
compared to a more general approximation method that builds on the same idea,
namely, to approximate the shape by a union of balls. While not as general, our
algorithm is simpler, faster and numerically more stable. Both algorithms are
visualized using the Mesecina tool, which is also described.