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

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

Entry modified 17 December 2004.
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Cite this as:
Algorithms and Theory of Computation Handbook, CRC Press LLC, 1999, "bisector", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed. 17 December 2004. (accessed TODAY) Available from: https://www.nist.gov/dads/HTML/bisector.html