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Separating Point Sets by Circles, and the Recognition of Digital Disks

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1 Author(s)
Steve Fisk ; Department of Mathematics, Bowdoin College, Brunswick, ME 04011.

Given two sets A and B of points in the plane, we give a polynomial time algorithm to find the set S of points which are centers of circles that contain all the members of A and none of B. A consequence of the algorithm is that S is polygonal. Another application is an O(N2) time and O(N2) space algorithm for the recognition of digital disks.

Published in:

IEEE Transactions on Pattern Analysis and Machine Intelligence  (Volume:PAMI-8 ,  Issue: 4 )