maxDist

Below is a demonstration of the features of the maxDist function

Contents

clear; close all; clc;

Syntax

[D1]=maxDist(V1,V2) [D1,maxIND]=maxDist(V1,V2,maxVarSize,selfAvoid,numFreeBytes)

Description

This function computes "maximal distances", i.e. for each point in V1 the distance to the furthest point in V2 is returned. Additional inputs allow for control of memory use. The optional output maxIND contains the indices of the neartest points in V2 for all points in V1.

PLOT SETTINGS

fontSize=10;
cmap=gray(250);
faceAlpha1=0.5;
faceAlpha2=1;

EXAMPLE FOR POINT CLOUD OR SURFACE DISTANCE COMPUTATION

Building test surfaces

%Defining shape 1 as a sphere
[F1,V1,~]=geoSphere(2,1);

%Defining shape 2 as a deformed sphere
[F2,V2,Vs]=geoSphere(3,1);
freqDef=3;
ampDef=0.25;
ampDefDiff=0.25;
n1=Vs(:,3)+(ampDef-ampDefDiff)+ampDef*sin(freqDef*Vs(:,1));
[V2(:,1),V2(:,2),~]=sph2cart(Vs(:,1),Vs(:,2),n1);

Plotting surfaces

hf1=cFigure;
title('The two surfaces','FontSize',fontSize);
xlabel('X','FontSize',fontSize);ylabel('Y','FontSize',fontSize);zlabel('Z','FontSize',fontSize);
hold on;
gpatch(F1,V1,'gw','g',faceAlpha1);
gpatch(F2,V2,'rw','r',faceAlpha1);

axis equal; view(3); axis tight; grid on;
set(gca,'FontSize',fontSize);
camlight headlight;
drawnow;

Get furthest point based distance metric

D2=maxDist(V2,V1);

On this type of use see also the triSurfSetDist function

Plotting results

[CF]=vertexToFaceMeasure(F2,D2);

hf2=cFigure;
title('Closest point distance metric on surface 2','FontSize',fontSize);
xlabel('X','FontSize',fontSize);ylabel('Y','FontSize',fontSize);zlabel('Z','FontSize',fontSize);
hold on;
patch('faces',F2,'vertices',V2,'FaceColor','flat','CData',CF);
patch('faces',F1,'vertices',V1,'FaceColor',0.5.*ones(1,3),'FaceAlpha',faceAlpha1,'EdgeColor','None');

colormap turbo; colorbar;
axis equal; view(3); axis tight; axis off;
set(gca,'FontSize',fontSize);
camlight headlight;
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) 2006-2023 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.

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Published with MATLAB® R2023a