trisurf_intersect

Below is a demonstration of the features of the trisurf_intersect function

Contents

clear; close all; clc;

Syntax

[P]=trisurf_intersect(TRI1c,N1c,Vn1c,V1,TRI2c,N2c,Vn2c,V2,TRI3c,N3c,Vn3c,V3,d);

Description

This function computes the intersection of a triplet of triangulated surfaces.

Examples

%Surface 1
n1=10;
[X1,Y1]=meshgrid(linspace(-3,3,n1));
Z1=peaks(X1,Y1);
Z1=Z1./max(abs(Z1(:)));
[F1,V1]=grid2patch(X1,Y1,Z1);
[F1,V1]=quad2tri(F1,V1,'a');
[N1,Vn1]=patchNormal(F1,V1);

n2=10;
[X2,Y2]=meshgrid(linspace(-3,3,n2));
Z2=peaks(X2,Y2);
Z2=Z2./max(abs(Z2(:)));
[F2,V2]=grid2patch(X2,Y2,Z2);
[F2,V2]=quad2tri(F2,V2,'a');
R2=euler2DCM([0.4*pi,0,0]);
V2=V2*R2;
[N2,Vn2]=patchNormal(F2,V2);

n3=10;
[X3,Y3]=meshgrid(linspace(-3,3,n3));
Z3=peaks(X3,Y3);
Z3=Z3./max(abs(Z3(:)));
[F3,V3]=grid2patch(X3,Y3,Z3);
[F3,V3]=quad2tri(F3,V3,'a');
R3=euler2DCM([0,0.45*pi,0]);
V3=V3*R3;
[N3,Vn3]=patchNormal(F3,V3);

[P]=trisurf_intersect(F1,N1,Vn1,V1,F2,N2,Vn2,V2,F3,N3,Vn3,V3,5);

cFigure; hold on;
gpatch(F1,V1,'rw','k',0.5);
gpatch(F2,V2,'gw','k',0.5);
gpatch(F3,V3,'bw','k',0.5);
plotV(P,'k.','markerSize',50)
axisGeom; camlight headlight;
gdrawnow

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) 2006-2022 Kevin Mattheus Moerman and the GIBBON contributors

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/.

Published with MATLAB® R2022b