Below is a demonstration of the features of the vectorOrthogonalPair function
clear; close all; clc;
Based on the input vector f this function generates the normalized output vectors a and d which are orthogonal to eachother and to f. This function can be useful for describing local element axis systems based e.g. in FEBio (whereby the input vector defaults to e3).
Example 1: Creating a triplet of mutually orthogonal vectors
Creating example vectors
P=eye(3,3); %Vector origins V=euler2DCM([0.25*pi 0.25*pi 0.25*pi]); %Input Vectors, rotated directions % V=eye(3,3); %Input Vectors, x,y,z axes
Compute mutually orthogonal sets using vectorOrthogonalPair
Visualize the sets
cFigure; title('Visualized vectors sets, input vectors=transparent, orthogonal=non-transparent'); quiverVec(P,V,2,'b','none',1,0.2); quiverVec(P,a,1,'r','none',1,1); quiverVec(P,d,1,'g','none',1,1); % quiverVec(P,d,1,'k','none',1,1); axisGeom; camlight headlight; drawnow;
Kevin Mattheus Moerman, [email protected]
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GIBBON: The Geometry and Image-based Bioengineering add-On. A toolbox for image segmentation, image-based modeling, meshing, and finite element analysis.
Copyright (C) 2019 Kevin Mattheus Moerman
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