Distance Between a Triangle and a Point

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

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

function d=DistanceTrianglePoint(vt1,vt2,vt3,vp)

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.

vp is (3*1) coordinate vector of the point.

d is the shortest distance between the triangle and the point.