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We study the problem of transforming pseudo-triangulations in the plane. We show that a pseudo-triangulation with n vertices can be transformed into another one using O(nlogn) flips only. This improves the previous bound O(n 2 ) of Bronnimann et al. [Fall Workshop on Comput. Geometry, 2001]. We present an algorithm for computing a transformation between two pseudo-triangulations in O((f+n)logn)...
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