Distance Between Two Line Segments

Finds the shortest distance between two line segments in 3d space.
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Updated 12 Sep 2023

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These functions find the shortest distance between two line segments in 3d space using analytic expression and nonlinear constrained optimization.
function d=Distance2LinesA(va1,va2,vb1,vb2): finds the distance using analytic expression based on the equations in: https://stackoverflow.com/a/67102941
function d=Distance2LinesN(va1,va2,vb1,vb2): finds the distance using nonlinear constrained optimization.
where:
va1 is (3*1) coordinate vector for the first point of line segment a.
va2 is (3*1) coordinate vector for the second point of line segment a.
vb1 is (3*1) coordinate vector for the first point of line segment b.
vb2 is (3*1) coordinate vector for the second point of line segment b.
d is the shortest distance between line segment a and line segment b.

Cite As

Ayad Al-Rumaithi (2024). Distance Between Two Line Segments (https://www.mathworks.com/matlabcentral/fileexchange/123600-distance-between-two-line-segments), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2017b
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Version Published Release Notes
1.0.2

description

1.0.1

added analytic expression

1.0.0