hex2tet

Below is a demonstration of the features of the hex2tet function

Contents

Syntax

[TET,Vtet,C]=hex2tet(HEX,V,C,tetOpt);

Description

clear; close all; clc;

Plot settings

fontSize=25;
faceAlpha1=0.25;
edgeWidth=3;
markerSize=75;
cMap=gjet(6);

Examples

Converting a hexahedral element to tetrahedral elements

Creating an example hexahedral element

V=[0 0 0; 1 0 0; 1 1 0; 0 1 0; 0 0 1; 1 0 1; 1 1 1; 0 1 1;]; %nodes
E=1:8; %Element

[F,CF]=element2patch(E);  %Patch data for plotting

cFigure;
subplot(2,3,1); hold on;
title('Original element set','FontSize',fontSize);
gpatch(F,V,cMap(1,:),'k',1,edgeWidth);
% patchNormPlot(F,V,0.25);
plotV(V,'k.','MarkerSize',markerSize);
colormap(cMap);
axisGeom(gca,fontSize);
axis off;

for q=1:1:5

    % Subdeviding the hexahedral element
    convertMethod=q; %Corresponse
    [Es,Vs,Cs]=hex2tet(E,V,[],convertMethod);
    [Fs,CFs]=element2patch(Es); %Patch data for plotting

    subplot(2,3,q+1); hold on;
    title(['Converted, method: ',num2str(q)],'FontSize',fontSize);
    gpatch(Fs,Vs,cMap(q+1,:),'k',0.5,edgeWidth);
%     patchNormPlot(Fs,Vs,0.25);
    plotV(Vs,'k.','MarkerSize',markerSize);

    colormap(cMap);
    axisGeom(gca,fontSize);
    axis off;
end
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) 2019 Kevin Mattheus Moerman

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/.

Published with MATLAB® R2019a