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Note that the original image cannot be reconstructed, like the other conventional techniques of gray skeleton extraction (2–85) from the fuzzy skeleton obtained here. The second method is based on fuzzy medial axis transformation (FMAT) (28) using the concept of fuzzy disks. A fuzzy disk with center P is a fuzzy set in which membership depends only on the distance from P. For any fuzzy set f, a maximal fuzzy disk gP f ≤ f exists centered at every point P, and f is the sup of the gP f s. ) Let us call a set Sf of points f-sufﬁcient if every gP f ≤ gQ f for some set of Q in Sf ; evidently f is then the sup of the gQ f s.