tesgrid

Below is a demonstration of the features of the tesgrid function

Contents

clear; close all; clc;

Syntax

[F,V]=tesgrid(xrange,yrange); [E,V]=tesgrid(xrange,yrange,zrange);

Description

This function generates a gridded mesh and outputs a tesselation for that mesh. The input is similar to that of the ndgrid function in that a desired range for the x, y, and z coordinates is given. The output consists of the mesh simplices. For 2D input only the x and y ranges are specified and the output consists of quadrilateral faces and vertices of a 2D mesh. For 3D input the z coordinate range is also specified and the output consists of hexahedral elements and vertices.

Examples

Plot settings

fontSize=20;
faceAlpha1=0.8;

Creating a quadrilateral gridded mesh using tesgrid

Specifying coordinate ranges

xrange=linspace(-5,5,20);
yrange=linspace(0,11,11);

Using tesgrid to create a gridded quadrilateral mesh

[F,V]=tesgrid(xrange,yrange);

Plotting model

cFigure; hold on;
title('A gridded quadrilateral mesh','FontSize',fontSize);
gpatch(F,V,'gw','k',faceAlpha1); %Visualize the mesh
patchNormPlot(F,V); %Show normal directions
axisGeom(gca,fontSize);
camlight headlight;
drawnow;

Creating a hexahedral gridded mesh using tesgrid

Specifying coordinate ranges

xrange=linspace(-3,3,6);
yrange=linspace(0,11,4);
zrange=linspace(-pi,pi,6);

Using tesgrid to create a gridded quadrilateral mesh

[E,V]=tesgrid(xrange,yrange,zrange);
[F]=element2patch(E);

Plotting model

cFigure; hold on;
title('A gridded hexahedral mesh','FontSize',fontSize);
gpatch(F,V,'gw','k',faceAlpha1); %Visualize the mesh
patchNormPlot(F,V); %Show normal directions
axisGeom(gca,fontSize);
camlight headlight;
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