polyTube

Below is a demonstration of the features of the polyTube function

Contents

clear; close all; clc;

Syntax

[Fs,Vs,Cs,Cs_rgb,Cs_d]=polyTube(Vg,optStruct);

Description

The polyTube function can be used to

Examples

Plot settings

markerSize=15;
lineWidth=2;
fontSize=10;

Example 1: Creating a swept tube

Creating example curve

t=linspace(0,4*pi,50);
Vg=[ t(:) sin(t(:)) cos(t(:))];
Vg=evenlySampleCurve(Vg);

Create tube

clear optStruct
optStruct.r=1.2; %Radius
optStruct.nr=25; %Number of points allong circumference
optStruct.patchType='quad'; %Output mesh type
optStruct.fixOpt=0; %Option to fix self intersection

[Fs,Vs,Cs]=polyTube(Vg,optStruct);

Visualization

cFigure;
subplot(1,2,1); hold on;
hp1=plotV(Vg,'k.-','MarkerSize',markerSize,'LineWidth',lineWidth);
axisGeom;

subplot(1,2,2); hold on;
hp2=gpatch(Fs,Vs,Cs,'k',1,1);
axisGeom; camlight headlight;

legend([hp1 hp2],{'Guide curve','Tube'});
gdrawnow;

Example 2: Variable radius

Creating example curve

t=linspace(0,1.5*pi,50);
r=linspace(0.25,1,50)'; %Defining radius allong curve
Vg=[t(:) zeros(size(t(:))) sin(t(:))];
Vg=evenlySampleCurve(Vg);

Create tube

clear optStruct
optStruct.r=r; %Radius
optStruct.nr=25; %Number of points allong circumference
optStruct.patchType='quad'; %Output mesh type
optStruct.fixOpt=0; %Option to fix self intersection

[Fs,Vs,Cs]=polyTube(Vg,optStruct);

Visualization

cFigure; hold on;
title('Variable radius');
gpatch(Fs,Vs,Cs,'k',1,1);
axisGeom; camlight headlight;
gdrawnow;

Example 3: Triangulated surface output and closed ends

Creating example curve

r=linspace(0.25,1,30)'; %Defining radius allong curve
t=linspace(0,pi,30);
Vg=[t(:) zeros(size(t(:))) -2*sin(t(:))];
Vg=evenlySampleCurve(Vg);

Create tube with open ends

clear optStruct
optStruct.r=1;
optStruct.nr=25;
optStruct.patchType='tri';
optStruct.closeOpt=0;
[Fs1,Vs1,Cs1]=polyTube(Vg,optStruct);

Create tube with closed ends

clear optStruct
optStruct.r=1;
optStruct.nr=25;
optStruct.patchType='tri';
optStruct.closeOpt=1;
[Fs2,Vs2,Cs2]=polyTube(Vg,optStruct);

Visualization

cFigure;
subplot(1,2,1); hold on;
title('Open tube')
gpatch(Fs1,Vs1,Cs1,'k',1,1);
axisGeom; camlight headlight;

subplot(1,2,2); hold on;
title('Closed tube')
gpatch(Fs2,Vs2,Cs2,'k',1,1);
axisGeom; camlight headlight;

gdrawnow;

Example 4: Using the fix option to attempt to fix self intersections

Creating example curve

t=linspace(0,pi,30);
Vg=[t(:) 2*sin(t(:)) zeros(size(t(:))) ];
Vg=evenlySampleCurve(Vg);

Create tube without self-intersection fix

clear optStruct
optStruct.r=1.2;
optStruct.nr=25;
optStruct.patchType='quad';
optStruct.fixOpt=0;
[Fs1,Vs1,Cs1]=polyTube(Vg,optStruct);

Create tube with self-intersection fix

clear optStruct
optStruct.r=1.2;
optStruct.nr=25;
optStruct.patchType='quad';
optStruct.fixOpt=1;
[Fs2,Vs2,Cs2]=polyTube(Vg,optStruct);

Visualization

cFigure;
subplot(1,2,1); hold on;
title('Self intersecting tube')
gpatch(Fs1,Vs1,'rw','k',0.5,2);
axisGeom; camlight headlight;
view(2);

subplot(1,2,2); hold on;
title('Fixed tube')
gpatch(Fs2,Vs2,'gw','k',1,2);
axisGeom; camlight headlight;
view(2);

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) 2006-2020 Kevin Mattheus Moerman

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Published with MATLAB® R2020a