NIST

Steiner point

(definition)

Definition: (1) A point that is not part of the input set of points, for instance, a point computed to construct a Steiner tree. (2) A point with a particular geometric relation to a triangle.

Note: Also called a Steiner vertex.

Consider the three points of a triangle. The shortest tree connecting all three, called the Steiner tree, branches out from a fourth point in the middle. That middle point, which was not given initially and must be computed in order to build the shortest tree, is a Steiner point.

From Algorithms and Theory of Computation Handbook, page 19-27, Copyright © 1999 by CRC Press LLC. Appearing in the Dictionary of Computer Science, Engineering and Technology, Copyright © 2000 CRC Press LLC.

Author: CRC-A

More information

Named for Jakob Steiner. See the following for the geometric (classical) definition of a Steiner Point.


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Entry modified 17 December 2004.
HTML page formatted Tue May 6 13:48:56 2014.

Cite this as:
Algorithms and Theory of Computation Handbook, CRC Press LLC, 1999, "Steiner point", 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/steinerpoint.html