polythick

Below is a demonstration of the features of the polythick function

Syntax
Description
Examples
Example 1: Thickening a curve
Example 2: Thickening a curve with curvature

clear; close all; clc;

Syntax

[Xu Yu Xl Yl]=polythick(x,y,t,nSteps,resampleFactor);

Description

This function thickens a polygon defined by x, y. It generates the upper (Xu, Yu) and lower (Xl, Yl) coordinates depending on the thickness t.

The slope is calculated at each coordinate and points are copied upwards and downwards (thickening) orthogonal to the local slope.

Examples

Plot settings

markerSize=15;
lineWidth=2;
fontSize=25;

Example 1: Thickening a curve

x=linspace(0,2*pi,25)';
y=sin(x);
t=0.25;
nSteps=5;
resampleFactor=1;

[xu,yu,xl,yl]=polythick(x,y,t,nSteps,resampleFactor);

cFigure;  hold on;
plot(x,y,'g.-','MarkerSize',markerSize,'LineWidth',lineWidth);
plot(xu,yu,'r.-','MarkerSize',markerSize,'LineWidth',lineWidth);
plot(xl,yl,'b.-','MarkerSize',markerSize,'LineWidth',lineWidth);
axis equal; axis tight; grid on; box on;
set(gca,'FontSize',fontSize)
drawnow;

Example 2: Thickening a curve with curvature

x=linspace(0,2*pi,25)';
y=5*sin(x);
t=0.25;
nSteps=5;
resampleFactor=5; %Upsample to sample high curvature region better
interpMethod='pchip';

[xu,yu,xl,yl]=polythick(x,y,t,nSteps,resampleFactor,interpMethod);

cFigure;  hold on;
plot(x,y,'g.-','MarkerSize',markerSize,'LineWidth',lineWidth);
plot(xu,yu,'r.-','MarkerSize',markerSize,'LineWidth',lineWidth);
plot(xl,yl,'b.-','MarkerSize',markerSize,'LineWidth',lineWidth);
axis equal; axis tight; grid on; box on;
set(gca,'FontSize',fontSize)
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.

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.