elemvolume.m

function vol = elemvolume(node, elem, option)
%
% vol=elemvolume(node,elem,option)
%
% calculate the volume for a list of simplexes
%
% author: Qianqian Fang, <q.fang at neu.edu>
% date: 2007/11/21
%
% input:
%    node:  node coordinates
%    elem:  element table of a mesh
%    option: if option='signed', the volume is the raw determinant,
%            else, the results will be the absolute values
%
% output:
%    vol:   volume values for all elements
%
% -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net)
%

if (size(elem, 2) == size(node, 2))
    enum = size(elem, 1);
    vol = zeros(enum, 1);
    acol = ones(3, 1);
    for i = 1:enum
        e1 = det([node(elem(i, :), 2), node(elem(i, :), 3), acol]);
        e2 = det([node(elem(i, :), 3), node(elem(i, :), 1), acol]);
        e3 = det([node(elem(i, :), 1), node(elem(i, :), 2), acol]);
        vol(i) = sqrt(e1 * e1 + e2 * e2 + e3 * e3) / 2;
    end
    return
end
dim = size(elem, 2);
enum = size(elem, 1);
vol = zeros(enum, 1);
for i = 1:enum
    detmat = [node(elem(i, :), :)'; ones(1, dim)];
    vol(i) = det(detmat);
end
if (nargin == 3 && strcmp(option, 'signed'))
    vol = vol / prod(1:size(node, 2));
else
    vol = abs(vol) / prod(1:size(node, 2));
end