edgeVec

Below is a demonstration of the features of the edgeVec function

Contents

clear; close all; clc;

Syntax

[N,Vp,Nv]=edgeVec(E,V);

Description

Computes the edge vectors for the input edges defined by the edge array E and the vertices V. The ouput is the allong edge unit vectors N. Other optional outputs include the edge vector origins Vp, and the vertex edge unit vectors. The latter are an average of both edges connected to the vertex.

Examples

Plot settings

fontSize=15;
lineWidth1=2;
lineWidth2=3;

Example edge data

%Example mesh
plateDim = [1 1];
plateEl  = [2 3];
[F,V]=quadPlate(plateDim,plateEl);

%Get boundary edges as example
E=patchBoundary(F);

Get edge vectors

[N,Vp,Nv]=edgeVec(E,V);

Visualization

cFigure;
subplot(1,2,1); hold on;
hp1=gpatch(F,V,'kw','w',0.5,lineWidth1);
hp2=gedge(E,V,'k',lineWidth2);
hp3=quiverVec(Vp,N,0.2,'o');
legend([hp1 hp2 hp3],{'Mesh','Input edges','Output edge vectors'},'Location','northoutside');
axisGeom(gca,fontSize); view(2);

subplot(1,2,2); hold on;
hp1=gpatch(F,V,'kw','w',0.5,lineWidth1);
hp2=gedge(E,V,'k',lineWidth2);
hp3=quiverVec(V,Nv,0.2,'o');
legend([hp1 hp2 hp3],{'Mesh','Input edges','Output edge vectors at vertices'},'Location','northoutside');
axisGeom(gca,fontSize); view(2);

drawnow;

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) 2006-2023 Kevin Mattheus Moerman and the GIBBON contributors

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Published with MATLAB® R2023a