A fuzzy medial axis transformation based on fuzzy disks

Pal, Sankar K. ; Rosenfeld, Azriel (1991) A fuzzy medial axis transformation based on fuzzy disks Pattern Recognition Letters, 12 (10). pp. 585-590. ISSN 0167-8655

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/016786...

Related URL: http://dx.doi.org/10.1016/0167-8655(91)90011-A


A fuzzy disk with center P is a fuzzy set in which membership depends only on distance from P. For any fuzzy set ƒ, there is a maximal fuzzy disk gpƒ≤ƒ centered at every point P, and ƒis the sup of the gpƒ's. (Moreover, if ƒ is fuzzy convex, so is every gpƒ, but not conversely.) We call a set Sƒ of points ƒ-sufficient if every gpƒ ≤ gQƒ for some Q in Sƒ; evidently ƒ is then the sup of the gQƒ's. In particular, in a digital image, the set of Q's at which gƒ is a (nonstrict) local maximum is ƒ-sufficient. This set is called the fuzzy medial axis of ƒ, and the set of gQƒ's is called the fuzzy medial axis transformation (FMAT) of ƒ. These definitions evidently reduce to the standard one if ƒ is a crisp set. Unfortunately, for an arbitrary ƒ, specifying the FMAT may require more storage space than specifying ƒ itself.

Item Type:Article
Source:Copyright of this article belongs to International Association for Pattern Recognition.
Keywords:Fuzzy Disk; Fuzzy Medial Axis; Fuzzy MAT
ID Code:26101
Deposited On:06 Dec 2010 13:05
Last Modified:13 Jun 2011 06:05

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