INTERSECTRAYPOLYGON3D Intersection point of a 3D ray and a 3D polygon.

   INTER = intersectRayPolygon3d(RAY, POLY)
   Compute coordinates of intersection point between the 3D ray RAY and
   the 3D polygon POLY. RAY is a 1-by-6 row vector containing origin and
   direction vector of the ray, POLY is a Np-by-3 array containing
   coordinates of 3D polygon vertices.
   INTER is a 1-by-3 row vector containing coordinates of intersection
   point, or [NaN NaN NaN] if ray and polygon do not intersect.

   INTERS = intersectRayPolygon3d(RAYS, POLY)
   If RAYS is a N-by-6 array representing several rays, the result
   INTERS is a N-by-3 array containing coordinates of intersection of each
   ray with the polygon.

   [INTER INSIDE] = intersectRayPolygon3d(RAY, POLY)
   Also return a N-by-1 boolean array containing TRUE if both the polygon
   and the corresponding ray contain the intersection point.

   Example
     % Compute intersection between a 3D ray and a 3D triangle
     pts3d = [3 0 0; 0 6 0;0 0 9];
     ray1 = [0 0 0 3 6 9];
     inter = intersectRayPolygon3d(ray1, pts3d)
     inter =
           1   2   3

     % keep only valid intersections with several rays
     pts3d = [3 0 0; 0 6 0;0 0 9];
     rays = [0 0 0 3 6 9;10 0 0 1 2 3;3 6 9 3 6 9];
     [inter inside] = intersectRayPolygon3d(rays, pts3d);
     inter(inside, :)
     ans = 
           1   2   3

   See Also
   intersectRayPolygon, intersectLinePolygon3d, intersectLineTriangle3d

Package: matgeom