Projecting Points Onto A Plane Given By A Normal And A Point

I am using the following function to try to project bunch of vertices onto a plane. Basically mapping a polyhedron to polygon. My plane is defined by a normal vector and a point (c

Solution 1:

Your formula

Proj(P) = P-((P-Centroid).n)n  

is correct.

But your implementation

dotscalar = np.dot(np.subtract(centroid,vertex),normalvector)

is not. You swapped centroid and vertex. Thus, instead of moving the point onto the plane, your algorithm doubles its distance from the plane.