## Shortest distance between two line segments

Version 1.1.0.0 (2.8 KB) by
Function computes the shortest distance between two line segments.

Updated 4 Jun 2014

Computes the shortest distance between two line segments given start and end points for each. Adapts the algorithm found on Dan Sunday's website (http://softsurfer.com/Archive/algorithm_0106/algorithm_0106.htm#dist3D_Segment_to_Segment
).
Usage: Input the start and end x,y,z coordinates for two line segments.
p1, p2 are [x,y,z] coordinates of first line segment and p3,p4 are for
second line segment.

Output: scalar minimum distance between the two segments.

Example:
P1 = [0 0 0]; P2 = [1 0 0];
P3 = [0 1 0]; P4 = [1 1 0];
dist = DistBetween2Segment(P1, P2, P3, P4)
dist =

1

### Cite As

Nick (2023). Shortest distance between two line segments (https://www.mathworks.com/matlabcentral/fileexchange/32487-shortest-distance-between-two-line-segments), MATLAB Central File Exchange. Retrieved .

##### MATLAB Release Compatibility
Created with R2010a
Compatible with any release
##### Platform Compatibility
Windows macOS Linux