bisector

(definition)

Definition: For two elements e_i and e_j, the locus of points equidistant from e_i and e_j. That is {p|d(p,e_i)=d(p(e_j)}, where d is some distance metric.

Note: For instance, if e_i and e_j are two points in the plane and we use Euclidean distance, the bisector is the perpendicular bisector of the line segment e_i,e_j.

From Algorithms and Theory of Computation Handbook, page 20-26, Copyright © 1999 by CRC Press LLC. Appearing in the Dictionary of Computer Science, Engineering and Technology, Copyright © 2000 CRC Press LLC.

Author: CRC-A

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:
Algorithms and Theory of Computation Handbook, CRC Press LLC, 1999, "bisector", 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/bisector.html