project2Plane.m
8566b2f9bc32master

project2Plane.m
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			function [P0] = project2Plane(P,N,Q,m)

			% Let P be the m x 3 array of the 3D points to be projected, let Q be the
			% 1 x 3 vector of the given point on the plane, let N be the 1 x 3 vector
			% of the normal direction to the plane, and let P0 be the m x 3 array of
			% points orthogonally projected from P onto the plane. Then do this:
			%
			N = N/norm(N);
			N2 = N.'*N;
			P0 = P(eye(3)-N2)+repmat(QN2,m,1);

			% AT: Why do we need to input m? m=size(p,1)

			% AT: we might use X = transformPointsForward(tform,U), tform = affine3d(A), A
			% being the 4x4 matrix of the thanformation

			% AT: check the code with
			% p=rand(10,3);
			% pp=project2Plane(p,[1 2 3],[1 2 3],size(p,1));
			% scatter3(p(:, 1),p(:, 2),p(:, 3),'blue');hold on;
			% scatter3(pp(:, 1),pp(:,2),pp(:, 3),'red');hold off;

			end