# subCurve

Below is a demonstration of the features of the subCurve function

## Syntax

[VN]=subCurve(Vt,np,closeLoopOpt);

## Description

The subCurve function can be used to increase the point density of the input curve by adding evenly spaced points between each of the curve segments.

## Examples

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

PLOT SETTINGS

```fontSize=15;
markerSize1=45;
lineWidth1=2;
lineWidth2=5;
lineWidth3=2;
faceAlpha=0.5;
```

## Example: Linearly upsample an open ended curve with intermediate points

Simulating a curve

```Vt=[0 0 0; 10 0 0; 5 10 0; 10 0 10; 0 10 10; ];
```

Upsampling the curve

```np=3; %Number of desired intermediate points to be added
[VN]=subCurve(Vt,np); %Using subcurve to upsample curve
```

Plotting results

```hf1=cFigure;
title('A linearly upsampled curve','FontSize',fontSize);
xlabel('X','FontSize',fontSize);ylabel('Y','FontSize',fontSize); zlabel('Z','FontSize',fontSize);
hold on;

plotV(Vt,'k.-.','lineWidth',lineWidth1,'MarkerSize',markerSize1);
plotV(VN,'r.-','lineWidth',lineWidth1/2,'MarkerSize',markerSize1/2);

axis equal; view(3); axis tight;  grid on;  set(gca,'FontSize',fontSize);
drawnow;
```

## Example: Linearly upsample a closed curve with intermediate points

Upsampling the curve

```np=3; %Number of desired intermediate points to be added
closeLoopOpt=1; %Enable closed loop option
[VN]=subCurve(Vt,np,closeLoopOpt); %Using subcurve to upsample curve
```

Plotting results

```hf1=cFigure;
title('A linearly upsampled curve with closed end condition','FontSize',fontSize);
xlabel('X','FontSize',fontSize);ylabel('Y','FontSize',fontSize); zlabel('Z','FontSize',fontSize);
hold on;

plotV(Vt,'k.-.','lineWidth',lineWidth1,'MarkerSize',markerSize1);
plotV(VN,'r.-','lineWidth',lineWidth1/2,'MarkerSize',markerSize1/2);

axis equal; view(3); axis tight;  grid on;  set(gca,'FontSize',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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