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function centroid = meshcentroid(v, f)
%
% centroid=meshcentroid(v,f)
%
% compute the centroids of a mesh defined by nodes and elements
% (surface or tetrahedra) in R^n space
%
% author: Qianqian Fang, <q.fang at neu.edu>
%
% input:
% v: surface node list, dimension (nn,3)
% f: surface face element list, dimension (be,3)
%
% output:
% centroid: centroid positions, one row for each element
%
% -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net)
%
if (~iscell(f))
ec = reshape(v(f(:, 1:size(f, 2))', :)', [size(v, 2) size(f, 2) size(f, 1)]);
centroid = squeeze(mean(ec, 2))';
else
len = length(f);
centroid = zeros(len, size(v, 2));
try
for i = 1:len
fc = f{i};
if (~isempty(fc)) % need to set centroid to NaN if fc is empty?
vlist = fc{1};
centroid(i, :) = mean(v(vlist(find(~isnan(vlist))), :));
end
end
catch
error('malformed face cell array');
end
end
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