element2patch

Below is a demonstration of the features of the element2patch function

Contents

Syntax

[F,CF]=element2patch(E,C,elementType);

Description

Use element2patch to generate patch data for the faces of an element set such as tetrahedral or hexahedral elements. The output patch data can be visualized using gpatch. The inputs are the element array E, and optionally also color data on the elements C, and the elementType (e.g. tet4, tet10, hex8). The output consists of the element faces F and the colordata for the elements sampled at the faces CF.

clear; close all; clc;

Examples

PLOT SETTINGS

fontSize=20;
faceAlpha1=1;
faceAlpha2=0.5;

Example: Visualizing a hexahedral mesh

Creating example geometry

boxDim=[5 6 7];
boxEl=[4 5 6];

[meshStruct]=hexMeshBox(boxDim,boxEl);

E=meshStruct.E;
V=meshStruct.V;
C=(1:1:size(E,1))'; %Example data on elements, e.g. element number or stress

Using element2patch to obtain patch data for plotting

[F,C_faces,C_sides]=element2patch(E,C,'hex8');

Plotting model

cFigure;
subplot(1,2,1); title('Element colors');
gpatch(F,V,C_faces,'k',0.5);
axisGeom(gca,fontSize);
camlight headlight;
colormap(gca,gjet(250)); colorbar;

subplot(1,2,2); title('Face side type colors');
gpatch(F,V,C_sides,'k',0.9);

axisGeom(gca,fontSize);
camlight headlight;
colormap(gca,gjet(6)); icolorbar;

drawnow;

Example: Visualizing a tetrahedral mesh

[meshStruct]=tetMeshBox(boxDim,2);
E=meshStruct.elements;
V=meshStruct.nodes;
C=(1:1:size(E,1))'; %Example data on elements, e.g. element number or stress

 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
--- TETGEN Tetrahedral meshing --- 20-Jun-2019 14:47:25
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
--- Writing SMESH file --- 20-Jun-2019 14:47:25
----> Adding node field
----> Adding facet field
----> Adding holes specification
----> Adding region specification
--- Done --- 20-Jun-2019 14:47:25
--- Running TetGen to mesh input boundary--- 20-Jun-2019 14:47:25
Opening /mnt/data/MATLAB/GIBBON/data/temp/temp.smesh.
Delaunizing vertices...
Delaunay seconds:  0.001234
Creating surface mesh ...
Surface mesh seconds:  0.000237
Recovering boundaries...
Boundary recovery seconds:  0.000279
Removing exterior tetrahedra ...
Spreading region attributes.
Exterior tets removal seconds:  5.4e-05
Recovering Delaunayness...
Delaunay recovery seconds:  0.000316
Refining mesh...
Refinement seconds:  0.000796
Optimizing mesh...
Optimization seconds:  0.0001

Writing /mnt/data/MATLAB/GIBBON/data/temp/temp.1.node.
Writing /mnt/data/MATLAB/GIBBON/data/temp/temp.1.ele.
Writing /mnt/data/MATLAB/GIBBON/data/temp/temp.1.face.
Writing /mnt/data/MATLAB/GIBBON/data/temp/temp.1.edge.

Output seconds:  0.000843
Total running seconds:  0.003928

Statistics:

  Input points: 70
  Input facets: 136
  Input segments: 204
  Input holes: 0
  Input regions: 1

  Mesh points: 89
  Mesh tetrahedra: 289
  Mesh faces: 646
  Mesh faces on exterior boundary: 136
  Mesh faces on input facets: 136
  Mesh edges on input segments: 204
  Steiner points inside domain: 19

--- Done --- 20-Jun-2019 14:47:25
 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
--- Importing TetGen files --- 20-Jun-2019 14:47:25
--- Done --- 20-Jun-2019 14:47:25

Using element2patch to obtain patch data for plotting

[F,C_faces,C_sides]=element2patch(E,C,'tet4');

Plotting model

cFigure;
subplot(1,2,1); title('Element colors');
gpatch(F,V,C_faces,'k',0.5);
axisGeom(gca,fontSize);
camlight headlight;
colormap(gca,gjet(250)); colorbar;

subplot(1,2,2); title('Face side type colors');
gpatch(F,V,C_sides,'k',0.9);

axisGeom(gca,fontSize);
camlight headlight;
colormap(gca,gjet(6)); icolorbar;

drawnow;

Example: Studying the element face side labels

% Creating an example polygon
ns=15;
t=linspace(0,pi,ns);
x=cos(t);
y=sin(t);
z=zeros(size(x));
Vc=flipud([x(:) y(:) z(:)]);

%Extruding polygon to a quadrilateral surface
cPar.depth=2;
cPar.patchType='quad';
cPar.dir=0;
cPar.closeLoopOpt=0;
cPar.numSteps=8;
[F,V]=polyExtrude(Vc,cPar);

%Thickening quadrilaterial surface to hexahedral elements
layerThickness=0.5;
numSteps=3;
[E,VE,Fq1,Fq2]=quadThick(F,V,1,layerThickness,numSteps);

%Use element2patch to get patch data
[FE,~,faceSideType]=element2patch(E);

Visualize the face side labels

plotColors=gjet(6);

cFigure;
subplot(3,3,1); hold on;
title('Hexahedral mesh')
gpatch(FE,VE,'kw','k',1);
axisGeom;
camlight headlight;
for q=1:1:6
    subplot(3,3,q+1); hold on;
    title(['Element sides ',num2str(q)]);
    gpatch(FE,VE,'kw','none',0.25);
    gpatch(FE(faceSideType==q,:),VE,plotColors(q,:),'k',1);
    axisGeom;
    camlight headlight;
end
drawnow;

GIBBON www.gibboncode.org

Kevin Mattheus Moerman, [email protected]

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/.

Published with MATLAB® R2019a