# 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;
gpatch(F,V,'gw','k',faceAlpha1); %Visualize the mesh
patchNormPlot(F,V); %Show normal directions
axisGeom(gca,fontSize);
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);
drawnow;
```

GIBBON www.gibboncode.org

Kevin Mattheus Moerman, gibbon.toolbox@gmail.com

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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.

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