triPolyDualRefine

Below is a demonstration of the features of the triPolyDualRefine function

Contents

clear; close all; clc;

Syntax

[Ft,Vt,Ct,indIni]=triPolyDualRefine(F,V);

Description

This function refines a triangulated polyhedron by first creating the dual tesselation and by then triangulating the dual tesselation by reintroducing the original point set near the centres of the dual faces.

Examples

Plot settings

fontSize=15;
faceAlpha=1;
edgeColor=0.*ones(1,3);
edgeWidth=1;
markerSize=15;

Example: Subtriangulating a triangulated surface

Building example geometry

[F,V]=regionTriMesh2D({[-1 -1; -1 1; 1 1; 1 -1]},0.25,1,0);
V(:,3)=0;
[Fq,Vq,Cq,indIni]=triPolyDualRefine(F,V);
cMap=gjet(size(Fq,1));
cMap=cMap(randperm(size(cMap,1)),:);

cFigure;
subplot(1,2,1); hold on;
title('Original','FontSize',fontSize);
gpatch(F,V,'gw','k');
axisGeom(gca,fontSize);
view(2);

subplot(1,2,2); hold on;
title('Refined','FontSize',fontSize);
gpatch(Fq,Vq,Cq,'k');
plotV(Vq(indIni,:),'k.','MarkerSize',markerSize);
axisGeom(gca,fontSize);
colormap(cMap);
view(2);
drawnow;

Example: Subtriangulating a closed polyhedron (sphere)

Building example geometry

%Defining geodesic dome
r=1; %sphere radius
n=2; %Refinements
[F,V,~]=geoSphere(n,r);
[Fq,Vq,Cq,indIni]=triPolyDualRefine(F,V);
cMap=gjet(size(Fq,1));
cMap=cMap(randperm(size(cMap,1)),:);

cFigure;
subplot(1,2,1); hold on;
title('Original','FontSize',fontSize);
gpatch(F,V,'gw','k');
axisGeom(gca,fontSize);
camlight headlight;

subplot(1,2,2); hold on;
title('Refined','FontSize',fontSize);
gpatch(Fq,Vq,Cq,'k');
plotV(Vq(indIni,:),'k.','MarkerSize',markerSize);
axisGeom(gca,fontSize);
camlight headlight;
colormap(cMap);
drawnow;

Example: Subtriangulating a closed polyhedron (dinosaur)

Building example geometry

[F,V]=parasaurolophus;
[Fq,Vq,Cq,indIni]=triPolyDualRefine(F,V);
cMap=gjet(size(Fq,1));
cMap=cMap(randperm(size(cMap,1)),:);

cFigure;
subplot(1,2,1); hold on;
title('Original','FontSize',fontSize);
gpatch(F,V,'gw','k');
axisGeom(gca,fontSize);
camlight headlight;

subplot(1,2,2); hold on;
title('Refined','FontSize',fontSize);
gpatch(Fq,Vq,Cq,'k');
plotV(Vq(indIni,:),'k.','MarkerSize',markerSize);
axisGeom(gca,fontSize);
camlight headlight;
colormap(cMap);
drawnow;

GIBBON www.gibboncode.org

Kevin Mattheus Moerman, gibbon.toolbox@gmail.com

GIBBON footer text

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/.