# scalePatch

Below is a demonstration of the features of the `scalePatch` function

## Contents

## Syntax

`[Fs,Vs]=scalePatch(F,V,scalefactor);`

## Description

This function seperates the nodes (if shared) for all faces. If a constant or spatially varying scalefactor is provided the faces are scaled (around their mean) as well.

## Examples

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

Plot settings

fontSize=15; plotColor1=0.25.*ones(1,3); plotColor2=0.75.*ones(1,3); edgeWidth=2; markerSize=25;

## Example: Seperate and scale faces homogeneously

%Defining geodesic dome triangulation r=1; %sphere radius n=2; %Refinements [F,V,~]=geoSphere(n,r); %Detach nodes and shrink faces scaleFactor=0.5; [Fs,Vs]=scalePatch(F,V,scaleFactor);

%Plotting results cFigure; subplot(1,2,1); hold on; gpatch(F,V,'rw','k',1,edgeWidth); axisGeom(gca,fontSize); camlight headlight; view(2); subplot(1,2,2); hold on; gpatch(F,V,'rw','none',0.5); gpatch(Fs,Vs,'bw','k',1,edgeWidth); axisGeom(gca,fontSize); camlight headlight; view(2); drawnow;

## Example: Seperate and shrink faces in a spatially varying way

Create a spatially varying shrink factor between 0 and 1

scaleFactor=V(:,2); scaleFactor=mean(scaleFactor(F),2); scaleFactor=scaleFactor-min(scaleFactor(:)); scaleFactor=scaleFactor./max(scaleFactor(:));

Detach nodes and shrink faces

[Fs,Vs]=scalePatch(F,V,scaleFactor);

Plotting results

cFigure; subplot(1,2,1); hold on; gpatch(F,V,'rw','k',1,edgeWidth); axisGeom(gca,fontSize); camlight headlight; view(2); subplot(1,2,2); hold on; gpatch(F,V,'rw','none',0.5); gpatch(Fs,Vs,'bw','k',1,edgeWidth); axisGeom(gca,fontSize); camlight headlight; view(2); 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) 2018 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/.

**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/.