Below is a demonstration of the features of the crossProdMat function
clear; close all; clc;
This function computes the so-called "cross product matrix". The output is a matrix A which is a skew-symmetric tensor, which allows for the computation of the cross product with the input vector a. In other words the matrix A can be used to compute c=A*b which is equivalent to c=cross(a,b).
% Example vector a=[1 0 0]' % Compute the cross product matrix [A]=crossProdMat(a) % Example vector to compute cross product with b=[0 1 0]' % Use A to compute cross product axb c=A*b % Check "traditional" approach c=cross(a,b)
a = 1 0 0 A = 0 0 0 0 0 -1 0 1 0 b = 0 1 0 c = 0 0 1 c = 0 0 1
Kevin Mattheus Moerman, [email protected]
GIBBON footer text
GIBBON: The Geometry and Image-based Bioengineering add-On. A toolbox for image segmentation, image-based modeling, meshing, and finite element analysis.
Copyright (C) 2006-2022 Kevin Mattheus Moerman and the GIBBON contributors
This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) 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/.