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.
Named for Jakob Steiner. See the following for the geometric (classical) definition of a Steiner Point.
If you have suggestions, corrections, or comments, please get in touch with Paul Black.
Entry modified 6 May 2019.
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Cite this as:
Algorithms and Theory of Computation Handbook, CRC Press LLC, 1999, "Steiner point", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed. 6 May 2019. (accessed TODAY) Available from: https://www.nist.gov/dads/HTML/steinerpoint.html