NIST

Hausdorff distance

(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


Go to the Dictionary of Algorithms and Data Structures home page.

If you have suggestions, corrections, or comments, please get in touch with Paul Black.

Entry modified 17 December 2004.
HTML page formatted Mon Feb 2 13:10:39 2015.

Cite this as:
Paul E. Black, "Hausdorff distance", in Dictionary of Algorithms and Data Structures [online], Vreda Pieterse and Paul E. Black, eds. 17 December 2004. (accessed TODAY) Available from: http://www.nist.gov/dads/HTML/hausdorffdst.html