remotest(points,bou​ndary)

Version 2.2.0.0 (23.2 KB) by Are Mjaavatten
Finds the position within or on a boundary that is farthest from any member of a set of points.
5.0
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Updated 20 Dec 2018

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Given a set of points and a boundary, this function finds the position within or on the boundary that is most distant from the nearest point the set.
Some possible applications:
- Find the point farthest from a city, airport, radio mast, ....
- Find the point on an island farthest from the sea
Empirically, the order is closer to O(n) than to O(n log(n)).

Cite As

Are Mjaavatten (2026). remotest(points,boundary) (https://www.mathworks.com/matlabcentral/fileexchange/61886-remotest-points-boundary), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2014b
Compatible with any release
Platform Compatibility
Windows macOS Linux
Categories
Find more on Voronoi Diagram in Help Center and MATLAB Answers
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Version Published Release Notes
2.2.0.0

Added option for finding interior points only, excluding points on the boundary.
2.1.0.0

Six times faster than version 2.0
2.0.0.0

New algorithm: 40 to 70 % faster. Algorithm philosophy included as comment.
1.0.0.0