Line Segment and Box Intersection

Finds the intersection between a line segment and a box (cuboid)

This function finds the intersection between a line segment and a box (cuboid). Example file is provided.

function [xl2,yl2,zl2]=Line_Box_Intersection(xb,yb,zb,xl,yl,zl)

Input:

xb=[xb1 xb2]: x boundaries of the box

yb=[yb1 yb2]: y boundaries of the box

zb=[zb1 zb2]: z boundaries of the box

xl: (1*2) vector of the line segment x-coordinates

yl: (1*2) vector of the line segment y-coordinates

yl: (1*2) vector of the line segment z-coordinates

Output:

xl2: vector of the intersection x-coordinates

yl2: vector of the intersection y-coordinates

zl2: vector of the intersection z-coordinates

The size of xl2,yl2, and zl2 is (1*2) if there intersection and empty if there is no intersection. If the intersection occur at only single point in the cube corners, the size will be (1*1).