(definition)
Definition: A measure of the resemblance of two (fixed) sets of geometric points P and Q, defined as H(P,Q)=max{maxa∈ P minb∈ Q d(a,b), maxa∈ Q minb∈ P d(a,b)} where d(·,·) is the distance metric, usually the Euclidean distance.
Note: Adapted from [AS98, page 437].
Author: PEB
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Entry modified 17 December 2004.
HTML page formatted Mon Sep 11 09:46:03 2006.
Cite this as:
Paul E. Black, "Hausdorff distance", in
Dictionary of Algorithms and Data
Structures [online], Paul E. Black, ed.,
U.S. National Institute of
Standards and Technology. 17 December 2004. (accessed TODAY)
Available from: http://www.nist.gov/dads/HTML/hausdorffdst.html