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%WTRANS Transform a wrench between coordinate frames
%
% WT = WTRANS(T, W) is a wrench (6x1) in the frame represented by the homogeneous
% transform T (4x4) corresponding to the world frame wrench W (6x1).
%
% The wrenches W and WT are 6-vectors of the form [Fx Fy Fz Mx My Mz].
%
% See also TR2DELTA, TR2JAC.
% Copyright (C) 1993-2011, 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/>.
function Wt = wtrans(T, W)
f = W(1:3); m = W(4:6);
k = cross(f, transl(T) ) + m;
ft = t2r(T)' * f;
mt = t2r(T)' * k;
Wt = [ft; mt];