```--- a
+++ b/inst/center_mass_poly2d.m
@@ -0,0 +1,60 @@
+%% Copyright (c) 2011 Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
+%%
+%%    This program is free software: you can redistribute it and/or modify
+%%    the Free Software Foundation, either version 3 of the License, or
+%%    any later version.
+%%
+%%    This program is distributed in the hope that it will be useful,
+%%    but WITHOUT ANY WARRANTY; without even the implied warranty of
+%%    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+%%    GNU General Public License for more details.
+%%
+%%    You should have received a copy of the GNU General Public License
+%%    along with this program. If not, see <http://www.gnu.org/licenses/>.
+
+%% -*- texinfo -*-
+%% @deftypefn {Function File} @var{cm} = center_mass_poly2d (@var{p})
+%% Calculates the center of mass a 2D polygon.
+%%
+%% The polygon is described in @var{p}, where each row is a different vertex.
+%% The algorithm was adapted from P. Bourke web page
+%% @uref{http://local.wasp.uwa.edu.au/~pbourke/geometry/polyarea/}
+%%
+%% @seealso{inertia_moment_poly2d, area_poly2d}
+%% @end deftypefn
+
+function cm = center_mass_poly2d(poly)
+
+  N = size(poly,1);
+  nxt = [2:N 1];
+  px = poly(:,1);
+  px_nxt = poly(nxt,1);
+  py = poly(:,2);
+  py_nxt = poly(nxt,2);
+
+  cm = zeros(1,2);
+  cr_prod = (px.*py_nxt - px_nxt.*py);
+
+  % Area
+  A = sum(cr_prod)/2;
+
+  % Center of mass
+  cm(1) = sum( (px+px_nxt) .* cr_prod );
+  cm(2) = sum( (py+py_nxt) .* cr_prod );
+  cm = cm/(6*A);
+
+end
+
+%!demo
+%! % The center of mass of this two triangles is the same
+%! % since both describe the same figure.
+%!
+%!  P = [0 0; 1 0; 0 1];
+%!  P2=[0 0; 0.1 0; 0.2 0; 0.25 0; 1 0; 0 1];
+%!  [center_mass_poly2d(P) center_mass_poly2d(P2)],
+%!
+%! % The centroid does not give the right answer
+%!
+%!  [mean(P) mean(P2)],
+
```