crossProdMat

Below is a demonstration of the features of the crossProdMat function

Contents

clear; close all; clc;

Syntax

A=crossProdMat(a);

Description

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).

Examples

% 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

GIBBON www.gibboncode.org

Kevin Mattheus Moerman, [email protected]

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License: https://github.com/gibbonCode/GIBBON/blob/master/LICENSE

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

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Published with MATLAB® R2022a