Distance Between a Triangle and a Line Segment

Finds the shortest distance between a triangle and a line segment in 3d space.

This function finds the shortest distance between a triangle and a line segment in 3d space using nonlinear constrained optimization.

function d=DistanceTriangleLine(vt1,vt2,vt3,vl1,vl2)

where:

vt1 is (3*1) coordinate vector for the first vertex of the triangle.

vt2 is (3*1) coordinate vector for the second vertex of the triangle.

vt3 is (3*1) coordinate vector for the third vertex of the triangle.

vl1 is (3*1) coordinate vector for the first point of the line segment.

vl2 is (3*1) coordinate vector for the second point of the line segment.

d is the shortest distance between the triangle and the line segment.