pointSetPrincipalDir

Below is a demonstration of the features of the pointSetPrincipalDir function

Contents

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

Syntax

[V,S,U]=pointSetPrincipalDir(X)

Examples

Plot settings

```fontSize=15;
markerSize=25;
```

Using pointSetPrincipalDir to determine main directions of a point cloud

Simulating an ellipsoid with known directions

```% Ellipsoid axis stretch factors
ellipStretchTrue=[pi 2 1]

% Create ellipsoid patch data
[F,V,~]=geoSphere(3,1);

V=V.*ellipStretchTrue(ones(size(V,1),1),:);

%Create Euler angles to set directions
E=[-0.25*pi 0.25*pi 0.25*pi];
[R_true,~]=euler2DCM(E); %The true directions for X, Y and Z axis
V=(R_true*V')'; %Rotate polyhedron
```
```ellipStretchTrue =

3.1416    2.0000    1.0000

```

This is the true axis system

```R_true
```
```R_true =

0.5000   -0.5000    0.7071
0.1464    0.8536    0.5000
-0.8536   -0.1464    0.5000

```

Determine principal directions of the point set (in this case an ellipsoidal polyhedron).

```[R_fit]=pointSetPrincipalDir(V)
```
```R_fit =

0.5000   -0.5000    0.7071
0.1464    0.8536    0.5000
-0.8536   -0.1464    0.5000

```

Visualizing results

```cFigure; hold on;
gtitle('The polyhedron with true (transparant) and determined (solid) axis directions',fontSize);
gpatch(F,V,0.75*ones(1,3),'none',0.5);
plotV(V,'k.','MarkerSize',markerSize);
legend([hl1 hl2],{'True directions','Fitted directions'});
axisGeom(gca,fontSize);
drawnow;
```

Output of the singular value decomposition data data

```[R_fit,S,U]=pointSetPrincipalDir(V)
```
```R_fit =

0.5000   -0.5000    0.7071
0.1464    0.8536    0.5000
-0.8536   -0.1464    0.5000

S =

45.9575         0         0
0   29.2575         0
0         0   14.6287

U =

0.0000   -0.0359   -0.0581
-0.0000   -0.0359    0.0581
0.0000    0.0359    0.0581
-0.0000    0.0359   -0.0581
-0.0359   -0.0581   -0.0000
-0.0359    0.0581    0.0000
0.0359    0.0581    0.0000
0.0359   -0.0581   -0.0000
-0.0581    0.0000   -0.0359
0.0581    0.0000   -0.0359
0.0581   -0.0000    0.0359
-0.0581   -0.0000    0.0359
0.0000    0.0000   -0.0684
-0.0211   -0.0553   -0.0342
0.0211   -0.0553   -0.0342
-0.0342   -0.0211   -0.0553
0.0342   -0.0211   -0.0553
0.0000   -0.0000    0.0684
-0.0211   -0.0553    0.0342
0.0211   -0.0553    0.0342
0.0342   -0.0211    0.0553
-0.0342   -0.0211    0.0553
-0.0211    0.0553    0.0342
0.0211    0.0553    0.0342
0.0342    0.0211    0.0553
-0.0342    0.0211    0.0553
-0.0211    0.0553   -0.0342
0.0211    0.0553   -0.0342
-0.0342    0.0211   -0.0553
0.0342    0.0211   -0.0553
-0.0000   -0.0684   -0.0000
-0.0553   -0.0342   -0.0211
-0.0553   -0.0342    0.0211
-0.0000    0.0684    0.0000
-0.0553    0.0342   -0.0211
-0.0553    0.0342    0.0211
0.0553    0.0342   -0.0211
0.0553    0.0342    0.0211
0.0553   -0.0342   -0.0211
0.0553   -0.0342    0.0211
-0.0684    0.0000   -0.0000
0.0684   -0.0000    0.0000
0.0000   -0.0187   -0.0658
-0.0110   -0.0474   -0.0480
0.0110   -0.0474   -0.0480
-0.0178   -0.0297   -0.0590
0.0178   -0.0297   -0.0590
0.0000   -0.0187    0.0658
-0.0110   -0.0474    0.0480
0.0110   -0.0474    0.0480
0.0178   -0.0297    0.0590
-0.0178   -0.0297    0.0590
0.0000    0.0187    0.0658
-0.0110    0.0474    0.0480
0.0110    0.0474    0.0480
0.0178    0.0297    0.0590
-0.0178    0.0297    0.0590
-0.0000    0.0187   -0.0658
-0.0110    0.0474   -0.0480
0.0110    0.0474   -0.0480
-0.0178    0.0297   -0.0590
0.0178    0.0297   -0.0590
-0.0297   -0.0590   -0.0178
-0.0297   -0.0590    0.0178
-0.0187   -0.0658   -0.0000
-0.0474   -0.0480   -0.0110
-0.0474   -0.0480    0.0110
-0.0297    0.0590    0.0178
-0.0297    0.0590   -0.0178
-0.0187    0.0658    0.0000
-0.0474    0.0480   -0.0110
-0.0474    0.0480    0.0110
0.0297    0.0590    0.0178
0.0297    0.0590   -0.0178
0.0187    0.0658    0.0000
0.0474    0.0480   -0.0110
0.0474    0.0480    0.0110
0.0297   -0.0590   -0.0178
0.0297   -0.0590    0.0178
0.0187   -0.0658   -0.0000
0.0474   -0.0480   -0.0110
0.0474   -0.0480    0.0110
-0.0480   -0.0110   -0.0474
-0.0480    0.0110   -0.0474
-0.0590   -0.0178   -0.0297
-0.0590    0.0178   -0.0297
-0.0658    0.0000   -0.0187
0.0480   -0.0110   -0.0474
0.0480    0.0110   -0.0474
0.0590    0.0178   -0.0297
0.0590   -0.0178   -0.0297
0.0658   -0.0000   -0.0187
0.0480   -0.0110    0.0474
0.0480    0.0110    0.0474
0.0590    0.0178    0.0297
0.0590   -0.0178    0.0297
0.0658   -0.0000    0.0187
-0.0480   -0.0110    0.0474
-0.0480    0.0110    0.0474
-0.0590   -0.0178    0.0297
-0.0590    0.0178    0.0297
-0.0658    0.0000    0.0187
-0.0180   -0.0111   -0.0650
0.0180   -0.0111   -0.0650
-0.0180    0.0111   -0.0650
0.0180    0.0111   -0.0650
-0.0000   -0.0581   -0.0359
-0.0291   -0.0402   -0.0470
-0.0111   -0.0650   -0.0180
-0.0402   -0.0470   -0.0291
0.0291   -0.0402   -0.0470
0.0111   -0.0650   -0.0180
0.0402   -0.0470   -0.0291
-0.0359    0.0000   -0.0581
-0.0470   -0.0291   -0.0402
0.0359    0.0000   -0.0581
0.0470   -0.0291   -0.0402
0.0180   -0.0111    0.0650
-0.0180   -0.0111    0.0650
0.0180    0.0111    0.0650
-0.0180    0.0111    0.0650
0.0000   -0.0581    0.0359
-0.0291   -0.0402    0.0470
-0.0111   -0.0650    0.0180
-0.0402   -0.0470    0.0291
0.0291   -0.0402    0.0470
0.0111   -0.0650    0.0180
0.0402   -0.0470    0.0291
0.0359   -0.0000    0.0581
0.0470   -0.0291    0.0402
-0.0359   -0.0000    0.0581
-0.0470   -0.0291    0.0402
0.0000    0.0581    0.0359
-0.0291    0.0402    0.0470
-0.0111    0.0650    0.0180
-0.0402    0.0470    0.0291
0.0291    0.0402    0.0470
0.0111    0.0650    0.0180
0.0402    0.0470    0.0291
0.0470    0.0291    0.0402
-0.0470    0.0291    0.0402
-0.0000    0.0581   -0.0359
-0.0291    0.0402   -0.0470
-0.0111    0.0650   -0.0180
-0.0402    0.0470   -0.0291
0.0291    0.0402   -0.0470
0.0111    0.0650   -0.0180
0.0402    0.0470   -0.0291
-0.0470    0.0291   -0.0402
0.0470    0.0291   -0.0402
-0.0581   -0.0359    0.0000
-0.0650   -0.0180   -0.0111
-0.0650   -0.0180    0.0111
-0.0581    0.0359   -0.0000
-0.0650    0.0180   -0.0111
-0.0650    0.0180    0.0111
0.0581    0.0359    0.0000
0.0650    0.0180   -0.0111
0.0650    0.0180    0.0111
0.0581   -0.0359    0.0000
0.0650   -0.0180   -0.0111
0.0650   -0.0180    0.0111
-0.0000   -0.0276   -0.0626
-0.0055   -0.0421   -0.0536
0.0055   -0.0421   -0.0536
-0.0090   -0.0331   -0.0591
0.0090   -0.0331   -0.0591
0.0000   -0.0276    0.0626
-0.0055   -0.0421    0.0536
0.0055   -0.0421    0.0536
0.0090   -0.0331    0.0591
-0.0090   -0.0331    0.0591
0.0000    0.0276    0.0626
-0.0055    0.0421    0.0536
0.0055    0.0421    0.0536
0.0090    0.0331    0.0591
-0.0090    0.0331    0.0591
0.0000    0.0276   -0.0626
-0.0055    0.0421   -0.0536
0.0055    0.0421   -0.0536
-0.0090    0.0331   -0.0591
0.0090    0.0331   -0.0591
-0.0331   -0.0591   -0.0090
-0.0331   -0.0591    0.0090
-0.0276   -0.0626   -0.0000
-0.0421   -0.0536   -0.0055
-0.0421   -0.0536    0.0055
-0.0331    0.0591    0.0090
-0.0331    0.0591   -0.0090
-0.0276    0.0626    0.0000
-0.0421    0.0536   -0.0055
-0.0421    0.0536    0.0055
0.0331    0.0591    0.0090
0.0331    0.0591   -0.0090
0.0276    0.0626    0.0000
0.0421    0.0536   -0.0055
0.0421    0.0536    0.0055
0.0331   -0.0591   -0.0090
0.0331   -0.0591    0.0090
0.0276   -0.0626   -0.0000
0.0421   -0.0536   -0.0055
0.0421   -0.0536    0.0055
-0.0536   -0.0055   -0.0421
-0.0536    0.0055   -0.0421
-0.0591   -0.0090   -0.0331
-0.0591    0.0090   -0.0331
-0.0626    0.0000   -0.0276
0.0536   -0.0055   -0.0421
0.0536    0.0055   -0.0421
0.0591    0.0090   -0.0331
0.0591   -0.0090   -0.0331
0.0626    0.0000   -0.0276
0.0536   -0.0055    0.0421
0.0536    0.0055    0.0421
0.0591    0.0090    0.0331
0.0591   -0.0090    0.0331
0.0626   -0.0000    0.0276
-0.0536   -0.0055    0.0421
-0.0536    0.0055    0.0421
-0.0591   -0.0090    0.0331
-0.0591    0.0090    0.0331
-0.0626   -0.0000    0.0276
-0.0000   -0.0094   -0.0677
0.0000    0.0094   -0.0677
-0.0091   -0.0056   -0.0675
0.0091   -0.0056   -0.0675
-0.0091    0.0056   -0.0675
0.0091    0.0056   -0.0675
-0.0162   -0.0519   -0.0415
-0.0256   -0.0577   -0.0262
-0.0107   -0.0574   -0.0355
-0.0254   -0.0483   -0.0411
-0.0163   -0.0609   -0.0264
-0.0310   -0.0518   -0.0320
0.0162   -0.0519   -0.0415
0.0256   -0.0577   -0.0262
0.0107   -0.0574   -0.0355
0.0254   -0.0483   -0.0411
0.0163   -0.0609   -0.0264
0.0310   -0.0518   -0.0320
-0.0262   -0.0256   -0.0577
-0.0415   -0.0162   -0.0519
-0.0264   -0.0163   -0.0609
-0.0320   -0.0310   -0.0518
-0.0355   -0.0107   -0.0574
-0.0411   -0.0254   -0.0483
0.0262   -0.0256   -0.0577
0.0415   -0.0162   -0.0519
0.0264   -0.0163   -0.0609
0.0320   -0.0310   -0.0518
0.0355   -0.0107   -0.0574
0.0411   -0.0254   -0.0483
0.0000   -0.0094    0.0677
0.0000    0.0094    0.0677
0.0091   -0.0056    0.0675
-0.0091   -0.0056    0.0675
0.0091    0.0056    0.0675
-0.0091    0.0056    0.0675
-0.0162   -0.0519    0.0415
-0.0256   -0.0577    0.0262
-0.0107   -0.0574    0.0355
-0.0254   -0.0483    0.0411
-0.0163   -0.0609    0.0264
-0.0310   -0.0518    0.0320
0.0162   -0.0519    0.0415
0.0256   -0.0577    0.0262
0.0107   -0.0574    0.0355
0.0254   -0.0483    0.0411
0.0163   -0.0609    0.0264
0.0310   -0.0518    0.0320
0.0262   -0.0256    0.0577
0.0415   -0.0162    0.0519
0.0264   -0.0163    0.0609
0.0320   -0.0310    0.0518
0.0355   -0.0107    0.0574
0.0411   -0.0254    0.0483
-0.0262   -0.0256    0.0577
-0.0415   -0.0162    0.0519
-0.0264   -0.0163    0.0609
-0.0320   -0.0310    0.0518
-0.0355   -0.0107    0.0574
-0.0411   -0.0254    0.0483
-0.0162    0.0519    0.0415
-0.0256    0.0577    0.0262
-0.0107    0.0574    0.0355
-0.0254    0.0483    0.0411
-0.0163    0.0609    0.0264
-0.0310    0.0518    0.0320
0.0162    0.0519    0.0415
0.0256    0.0577    0.0262
0.0107    0.0574    0.0355
0.0254    0.0483    0.0411
0.0163    0.0609    0.0264
0.0310    0.0518    0.0320
0.0262    0.0256    0.0577
0.0415    0.0162    0.0519
0.0264    0.0163    0.0609
0.0355    0.0107    0.0574
0.0320    0.0310    0.0518
0.0411    0.0254    0.0483
-0.0262    0.0256    0.0577
-0.0415    0.0162    0.0519
-0.0264    0.0163    0.0609
-0.0355    0.0107    0.0574
-0.0320    0.0310    0.0518
-0.0411    0.0254    0.0483
-0.0162    0.0519   -0.0415
-0.0256    0.0577   -0.0262
-0.0107    0.0574   -0.0355
-0.0254    0.0483   -0.0411
-0.0163    0.0609   -0.0264
-0.0310    0.0518   -0.0320
0.0162    0.0519   -0.0415
0.0256    0.0577   -0.0262
0.0107    0.0574   -0.0355
0.0254    0.0483   -0.0411
0.0163    0.0609   -0.0264
0.0310    0.0518   -0.0320
-0.0262    0.0256   -0.0577
-0.0415    0.0162   -0.0519
-0.0264    0.0163   -0.0609
-0.0355    0.0107   -0.0574
-0.0320    0.0310   -0.0518
-0.0411    0.0254   -0.0483
0.0262    0.0256   -0.0577
0.0415    0.0162   -0.0519
0.0264    0.0163   -0.0609
0.0355    0.0107   -0.0574
0.0320    0.0310   -0.0518
0.0411    0.0254   -0.0483
-0.0094   -0.0677   -0.0000
0.0094   -0.0677    0.0000
-0.0056   -0.0675   -0.0091
0.0056   -0.0675   -0.0091
-0.0056   -0.0675    0.0091
0.0056   -0.0675    0.0091
-0.0519   -0.0415   -0.0162
-0.0577   -0.0262   -0.0256
-0.0483   -0.0411   -0.0254
-0.0518   -0.0320   -0.0310
-0.0574   -0.0355   -0.0107
-0.0609   -0.0264   -0.0163
-0.0519   -0.0415    0.0162
-0.0577   -0.0262    0.0256
-0.0483   -0.0411    0.0254
-0.0518   -0.0320    0.0310
-0.0574   -0.0355    0.0107
-0.0609   -0.0264    0.0163
-0.0094    0.0677    0.0000
0.0094    0.0677    0.0000
-0.0056    0.0675    0.0091
0.0056    0.0675    0.0091
-0.0056    0.0675   -0.0091
0.0056    0.0675   -0.0091
-0.0519    0.0415   -0.0162
-0.0577    0.0262   -0.0256
-0.0483    0.0411   -0.0254
-0.0518    0.0320   -0.0310
-0.0574    0.0355   -0.0107
-0.0609    0.0264   -0.0163
-0.0519    0.0415    0.0162
-0.0577    0.0262    0.0256
-0.0483    0.0411    0.0254
-0.0518    0.0320    0.0310
-0.0574    0.0355    0.0107
-0.0609    0.0264    0.0163
0.0519    0.0415   -0.0162
0.0577    0.0262   -0.0256
0.0483    0.0411   -0.0254
0.0518    0.0320   -0.0310
0.0574    0.0355   -0.0107
0.0609    0.0264   -0.0163
0.0519    0.0415    0.0162
0.0577    0.0262    0.0256
0.0483    0.0411    0.0254
0.0518    0.0320    0.0310
0.0574    0.0355    0.0107
0.0609    0.0264    0.0163
0.0519   -0.0415   -0.0162
0.0577   -0.0262   -0.0256
0.0483   -0.0411   -0.0254
0.0518   -0.0320   -0.0310
0.0574   -0.0355   -0.0107
0.0609   -0.0264   -0.0163
0.0519   -0.0415    0.0162
0.0577   -0.0262    0.0256
0.0483   -0.0411    0.0254
0.0518   -0.0320    0.0310
0.0574   -0.0355    0.0107
0.0609   -0.0264    0.0163
-0.0677    0.0000   -0.0094
-0.0677    0.0000    0.0094
-0.0675   -0.0091   -0.0056
-0.0675   -0.0091    0.0056
-0.0675    0.0091   -0.0056
-0.0675    0.0091    0.0056
0.0677   -0.0000   -0.0094
0.0677   -0.0000    0.0094
0.0675    0.0091   -0.0056
0.0675    0.0091    0.0056
0.0675   -0.0091   -0.0056
0.0675   -0.0091    0.0056
-0.0090   -0.0245   -0.0632
0.0090   -0.0245   -0.0632
-0.0091   -0.0150   -0.0661
0.0091   -0.0150   -0.0661
-0.0000   -0.0480   -0.0486
-0.0146   -0.0390   -0.0542
-0.0055   -0.0533   -0.0424
-0.0202   -0.0443   -0.0480
0.0146   -0.0390   -0.0542
0.0055   -0.0533   -0.0424
0.0202   -0.0443   -0.0480
-0.0181   -0.0206   -0.0626
-0.0237   -0.0353   -0.0536
0.0181   -0.0206   -0.0626
0.0237   -0.0353   -0.0536
0.0090   -0.0245    0.0632
-0.0090   -0.0245    0.0632
0.0091   -0.0150    0.0661
-0.0091   -0.0150    0.0661
0.0000   -0.0480    0.0486
-0.0146   -0.0390    0.0542
-0.0055   -0.0533    0.0424
-0.0202   -0.0443    0.0480
0.0146   -0.0390    0.0542
0.0055   -0.0533    0.0424
0.0202   -0.0443    0.0480
0.0181   -0.0206    0.0626
0.0237   -0.0353    0.0536
-0.0181   -0.0206    0.0626
-0.0237   -0.0353    0.0536
0.0090    0.0245    0.0632
-0.0090    0.0245    0.0632
0.0091    0.0150    0.0661
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0.0000    0.0480    0.0486
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0.0146    0.0390    0.0542
0.0055    0.0533    0.0424
0.0202    0.0443    0.0480
0.0181    0.0206    0.0626
0.0237    0.0353    0.0536
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0.0237    0.0353   -0.0536
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-0.0206   -0.0626   -0.0181
-0.0353   -0.0536   -0.0237
-0.0245   -0.0632    0.0090
-0.0390   -0.0542    0.0146
-0.0206   -0.0626    0.0181
-0.0353   -0.0536    0.0237
-0.0150   -0.0661   -0.0091
-0.0150   -0.0661    0.0091
-0.0480   -0.0486   -0.0000
-0.0443   -0.0480   -0.0202
-0.0533   -0.0424   -0.0055
-0.0443   -0.0480    0.0202
-0.0533   -0.0424    0.0055
-0.0245    0.0632    0.0090
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-0.0206    0.0626    0.0181
-0.0353    0.0536    0.0237
-0.0245    0.0632   -0.0090
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-0.0206    0.0626   -0.0181
-0.0353    0.0536   -0.0237
-0.0150    0.0661    0.0091
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-0.0533    0.0424   -0.0055
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0.0245    0.0632    0.0090
0.0390    0.0542    0.0146
0.0206    0.0626    0.0181
0.0353    0.0536    0.0237
0.0245    0.0632   -0.0090
0.0390    0.0542   -0.0146
0.0206    0.0626   -0.0181
0.0353    0.0536   -0.0237
0.0150    0.0661    0.0091
0.0150    0.0661   -0.0091
0.0480    0.0486    0.0000
0.0443    0.0480   -0.0202
0.0533    0.0424   -0.0055
0.0443    0.0480    0.0202
0.0533    0.0424    0.0055
0.0245   -0.0632   -0.0090
0.0390   -0.0542   -0.0146
0.0206   -0.0626   -0.0181
0.0353   -0.0536   -0.0237
0.0245   -0.0632    0.0090
0.0390   -0.0542    0.0146
0.0206   -0.0626    0.0181
0.0353   -0.0536    0.0237
0.0150   -0.0661   -0.0091
0.0150   -0.0661    0.0091
0.0480   -0.0486   -0.0000
0.0443   -0.0480   -0.0202
0.0533   -0.0424   -0.0055
0.0443   -0.0480    0.0202
0.0533   -0.0424    0.0055
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-0.0626    0.0181   -0.0206
-0.0661   -0.0091   -0.0150
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0.0486    0.0000   -0.0480
0.0542   -0.0146   -0.0390
0.0424   -0.0055   -0.0533
0.0480   -0.0202   -0.0443
0.0542    0.0146   -0.0390
0.0424    0.0055   -0.0533
0.0480    0.0202   -0.0443
0.0632    0.0090   -0.0245
0.0536    0.0237   -0.0353
0.0626    0.0181   -0.0206
0.0632   -0.0090   -0.0245
0.0536   -0.0237   -0.0353
0.0626   -0.0181   -0.0206
0.0661    0.0091   -0.0150
0.0661   -0.0091   -0.0150
0.0486   -0.0000    0.0480
0.0542   -0.0146    0.0390
0.0424   -0.0055    0.0533
0.0480   -0.0202    0.0443
0.0542    0.0146    0.0390
0.0424    0.0055    0.0533
0.0480    0.0202    0.0443
0.0632    0.0090    0.0245
0.0536    0.0237    0.0353
0.0626    0.0181    0.0206
0.0632   -0.0090    0.0245
0.0536   -0.0237    0.0353
0.0626   -0.0181    0.0206
0.0661    0.0091    0.0150
0.0661   -0.0091    0.0150
-0.0486   -0.0000    0.0480
-0.0542   -0.0146    0.0390
-0.0424   -0.0055    0.0533
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-0.0542    0.0146    0.0390
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-0.0632   -0.0090    0.0245
-0.0536   -0.0237    0.0353
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-0.0536    0.0237    0.0353
-0.0626    0.0181    0.0206
-0.0661   -0.0091    0.0150
-0.0661    0.0091    0.0150
-0.0182    0.0000   -0.0659
-0.0273   -0.0056   -0.0624
0.0182    0.0000   -0.0659
0.0273   -0.0056   -0.0624
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0.0273    0.0056   -0.0624
-0.0056   -0.0624   -0.0273
0.0056   -0.0624   -0.0273
-0.0351   -0.0442   -0.0386
-0.0386   -0.0351   -0.0442
-0.0000   -0.0659   -0.0182
-0.0442   -0.0386   -0.0351
0.0351   -0.0442   -0.0386
0.0386   -0.0351   -0.0442
0.0442   -0.0386   -0.0351
0.0182   -0.0000    0.0659
0.0273   -0.0056    0.0624
-0.0182   -0.0000    0.0659
-0.0273   -0.0056    0.0624
0.0273    0.0056    0.0624
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0.0056   -0.0624    0.0273
-0.0351   -0.0442    0.0386
-0.0386   -0.0351    0.0442
-0.0000   -0.0659    0.0182
-0.0442   -0.0386    0.0351
0.0351   -0.0442    0.0386
0.0386   -0.0351    0.0442
0.0442   -0.0386    0.0351
-0.0056    0.0624    0.0273
0.0056    0.0624    0.0273
-0.0351    0.0442    0.0386
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-0.0000    0.0659    0.0182
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0.0351    0.0442    0.0386
0.0386    0.0351    0.0442
0.0442    0.0386    0.0351
-0.0056    0.0624   -0.0273
0.0056    0.0624   -0.0273
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0.0351    0.0442   -0.0386
0.0386    0.0351   -0.0442
0.0442    0.0386   -0.0351
-0.0624   -0.0273   -0.0056
-0.0624   -0.0273    0.0056
-0.0659   -0.0182   -0.0000
-0.0624    0.0273   -0.0056
-0.0624    0.0273    0.0056
-0.0659    0.0182   -0.0000
0.0624    0.0273   -0.0056
0.0624    0.0273    0.0056
0.0659    0.0182    0.0000
0.0624   -0.0273   -0.0056
0.0624   -0.0273    0.0056
0.0659   -0.0182    0.0000

```

GIBBON www.gibboncode.org

Kevin Mattheus Moerman, gibbon.toolbox@gmail.com

GIBBON footer text

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/.