function plane = medianPlane(p1, p2)
%MEDIANPLANE Create a plane in the middle of 2 points
% PLANE = medianPlane(P1, P2)
% Creates a plane in the middle of 2 points.
% PLANE is perpendicular to line (P1 P2) and contains the midpoint of P1
% and P2.
% The direction of the normal of PLANE is the same as the vector from P1
% to P2.
% See also:
% planes3d, createPlane
% author : David Legland
% INRA - TPV URPOI - BIA IMASTE
% created the 18/02/2005.
% 28/06/2007: add doc, and manage multiple inputs
% unify data dimension
if size(p1, 1)==1
p1 = repmat(p1, [size(p2, 1) 1]);
elseif size(p2, 1)==1
p2 = repmat(p2, [size(p1, 1) 1]);
elseif size(p1, 1)~=size(p2, 1)
error('data should have same length, or one data should have length 1');
% middle point
p0 = (p1 + p2)/2;
% normal to plane
n = p2-p1;
% create plane from point and normal
plane = createPlane(p0, n);