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%ISHOMOG2 Test if SE(2) homogeneous transformation
%
% ISHOMOG2(T) is true (1) if the argument T is of dimension 3x3 or 3x3xN, else
% false (0).
%
% ISHOMOG2(T, 'valid') as above, but also checks the validity of the rotation
% sub-matrix.
%
% Notes::
% - The first form is a fast, but incomplete, test for a transform in SE(3).
% - Does not work for the SE(3) case.
%
% See also ISHOMOG, ISROT2, ISVEC.
% Copyright (C) 1993-2014, by Peter I. Corke
%
% This file is part of The Robotics Toolbox for MATLAB (RTB).
%
% RTB is free software: you can redistribute it and/or modify
% it under the terms of the GNU Lesser General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
%
% RTB 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 Lesser General Public License for more details.
%
% You should have received a copy of the GNU Leser General Public License
% along with RTB. If not, see <http://www.gnu.org/licenses/>.
%
% http://www.petercorke.com
function h = ishomog2(tr, rtest)
d = size(tr);
if ndims(tr) >= 2
h = all(d(1:2) == [3 3]);
if h && nargin > 1
h = abs(det(tr(1:2,1:2)) - 1) < eps;
end
else
h = false;
end