Intersection point of a 3D EDGE segment and a 3D polygon.
INTER = intersectEdgePolygon3d(EDGE, POLY)
Compute coordinates of intersection point between the 3D edge EDGE and
the 3D polygon POLY. EDGE is a 1-by-6 row vector containing source and
target positions of the edge, POLY is a Nv-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 edge and polygon do not intersect.
INTERS = intersectEdgePolygon3d(EDGES, POLY)
If EDGES is a N-by-6 array representing several edges, the result
INTERS is a N-by-3 array containing coordinates of intersection of each
edge with the polygon.
[INTER, INSIDE] = intersectEdgePolygon3d(EDGE, POLY)
Also return a N-by-1 boolean array containing TRUE if the corresponding
edge contains the intersection point.
Example
% Compute intersection between a 3D edge and a 3D triangle
pts3d = [3 0 0; 0 6 0;0 0 9];
edge1 = [0 0 0 3 6 9];
inter = intersectEdgePolygon3d(edge1, pts3d)
inter =
1 2 3
% keep only valid intersections with several edges
pts3d = [3 0 0; 0 6 0;0 0 9];
edges = [0 0 0 3 6 9;10 0 0 10 2 3];
[inter, inside] = intersectEdgePolygon3d(edges, pts3d);
inter(inside, :)
ans =
1 2 3
See Also
intersectLinePolygon, intersectRayPolygon3d, intersectLinePlane
Package: matgeom