subtri

Below is a demonstration of the features of the subtri function

Contents

Syntax

[Fs,Vs]=subtri(F,V,n,uniqueOpt);

Description

The subtri function enables refinement of triangulated data

Examples

clear; close all; clc;

Plot Settings

fontSize=15;
faceAlpha=1;
edgeColor=0.2*ones(1,3);
edgeWidth=1.5;
markerSize=35;
markerSize2=20;

Refining a triangle

V=[0 0 0; 1 0 0; 0.5 sqrt(3)/2 0];
F=[1 2 3];

n=0:1:3; %Number of added edge nodes
pColors=gjet(numel(n));

cFigure;
for q=1:1:numel(n)
    [Fs,Vs]=subtri(F,V,n(q));
    subplot(2,2,q); hold on;
    title([num2str(n(q)),' added edge nodes'],'FontSize',fontSize);
    gpatch(Fs,Vs,pColors(q,:),'k');
    plotV(Vs,'k.','markerSize',markerSize2);
    plotV(V,'k.','markerSize',markerSize);

    axis equal; axis tight; view(2);
end
drawnow;

Refining a tetrahedron

[V,F]=platonic_solid(1,1);

n=0:1:3; %Number of added edge nodes
pColors=gjet(numel(n));

cFigure;
for q=1:1:numel(n)
    [Fs,Vs]=subtri(F,V,n(q));
    subplot(2,2,q); hold on;
    title([num2str(n(q)),' added edge nodes'],'FontSize',fontSize);
    gpatch(Fs,Vs,pColors(q,:),'k');
    plotV(Vs,'k.','markerSize',markerSize2);
    plotV(V,'k.','markerSize',markerSize);
    axisGeom(gca,fontSize);
    camlight headlight;
end
drawnow;

Refining triangulated surfaces in general

[F,V]=geoSphere(1,1);

n=[0 1 2 3]; %Number of added edge nodes
pColors=gjet(numel(n));

cFigure;
for q=1:1:numel(n)
    [Fs,Vs]=subtri(F,V,n(q));
    subplot(2,2,q); hold on;
    title([num2str(n(q)),' added edge nodes'],'FontSize',fontSize);
    gpatch(Fs,Vs,pColors(q,:),'k');
    axisGeom(gca,fontSize);
    camlight headlight;
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