# joinElementSets

Below is a demonstration of the features of the joinElementSets function

## Contents

```clear; close all; clc;
```

## Syntax

[FT,VT,CT]=joinElementSets(Fc,Vc,Cc);

## Description

This function joins element data. The node sets, element descriptions, and color data, are joined together.

## Examples

Plot settings

```fontSize=10;
faceAlpha1=1;
faceAlpha2=0.3;
```

## EXAMPLE 1: Joining sets of patch data of the same type

Defining an example triangulated surface model

```% Defining a deformed and rotated torus shape
n=2;
V2(:,3)=V2(:,3)+2;

nr=15;
nc=25;
[F3,V3]=patchTorus(r,nr,rc,nc,ptype);
```
```Fc={F1,F2,F3};
Vc={V1,V2,V3};
[FT,VT,CT]=joinElementSets(Fc,Vc);
```

Plotting the results

```cFigure;

p=[1 3 5];
for q=1:1:numel(Fc)
subplot(3,2,p(q));
title(['Set ',num2str(q)],'FontSize',fontSize);
xlabel('X','FontSize',fontSize);ylabel('Y','FontSize',fontSize); zlabel('Z','FontSize',fontSize);
hold on;
patch('Faces',Fc{q},'Vertices',Vc{q},'FaceColor','flat','CData',q*ones(size(Fc{q},1),1),'EdgeColor','k','FaceAlpha',faceAlpha1);
axis equal; view(3); axis tight;  grid on;  set(gca,'FontSize',fontSize);
colormap(gjet(numel(Fc))); caxis([0.5 numel(Fc)+0.5]);
end

subplot(3,2,[2 4 6]);
title('Joined sets','FontSize',fontSize);
xlabel('X','FontSize',fontSize);ylabel('Y','FontSize',fontSize); zlabel('Z','FontSize',fontSize);
hold on;
patch('Faces',FT,'Vertices',VT,'FaceColor','flat','CData',CT,'EdgeColor','k','FaceAlpha',faceAlpha1);
axis equal; view(3); axis tight;  grid on;  set(gca,'FontSize',fontSize);
colormap(gjet(numel(Fc))); colorbar; caxis([0.5 numel(Fc)+0.5]);
drawnow;
```

## EXAMPLE 2: Joining sets of patch data of the different types

Defining an example triangulated surface model

```% Defining a deformed and rotated torus shape
n=2;
[F2,V2]=geoSphere(n,r/2);
V2(:,3)=V2(:,3)+2;

nr=15;
nc=25;
ptype='honey';
[F3,V3]=patchTorus(r,nr,rc,nc,ptype);
```
```Fc={F1,F2,F3};
Vc={V1,V2,V3};
[FT,VT,CT]=joinElementSets(Fc,Vc);
```

Plotting the results

```cFigure;

p=[1 3 5];
for q=1:1:numel(Fc)
subplot(3,2,p(q));
title(['Set ',num2str(q)],'FontSize',fontSize);
xlabel('X','FontSize',fontSize);ylabel('Y','FontSize',fontSize); zlabel('Z','FontSize',fontSize);
hold on;
patch('Faces',Fc{q},'Vertices',Vc{q},'FaceColor','flat','CData',q*ones(size(Fc{q},1),1),'EdgeColor','k','FaceAlpha',faceAlpha1);
axis equal; view(3); axis tight;  grid on;  set(gca,'FontSize',fontSize);
colormap(gjet(numel(Fc))); caxis([0.5 numel(Fc)+0.5]);
end

subplot(3,2,[2 4 6]);
title('Joined sets','FontSize',fontSize);
xlabel('X','FontSize',fontSize);ylabel('Y','FontSize',fontSize); zlabel('Z','FontSize',fontSize);
hold on;

for q=1:1:numel(Fc)
patch('Faces',FT{q},'Vertices',VT,'FaceColor','flat','CData',q*ones(size(FT{q},1),1),'EdgeColor','k','FaceAlpha',faceAlpha1);
end

axis equal; view(3); axis tight;  grid on;  set(gca,'FontSize',fontSize);
colormap(gjet(numel(Fc))); colorbar; caxis([0.5 numel(Fc)+0.5]);
drawnow;
```

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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) 2017 Kevin Mattheus Moerman

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