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Out-of-roundness problem revisited

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2 Author(s)
Le, V.-B. ; AT&T Bell Lab., Naperville, IL, USA ; Lee, D.T.

The properties and computation of the minimum radial separation (MRS) standard for out-of-roundness are discussed. Another standard out-of-roundness measurement called the minimum area difference (MAD) center is introduced. Although the two centers have different characteristics, the approach to finding both centers shares many commonalities. An O(n log n+k) time algorithm which is used to compute the MRS center is presented. It also computes the MAD center of a simple polygon G, where n is the number of vertices of G, and k is the number of intersection points of the medial axis and the farthest-neighbor Voronoi diagram of G. The relationship between MRS and MAD is discussed

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Pattern Analysis and Machine Intelligence, IEEE Transactions on  (Volume:13 ,  Issue: 3 )