hemiSphereRegionMesh

Below is a demonstration of the features of the ind2patch function

Contents

clear; close all; clc;

Syntax

[F,V,regionIndSub]=hemiSphereRegionMesh(hemiSphereStruct);

Description

The hemiSphereRegionMesh function creates the faces (F), vertices (or nodes, V) and the region indices (regeionIndSub) for a hemi-sphere according to the input structure hemiSphereStruct. The latter defines the sphere radius, the number of refinement steps for the regions and the number of refinement steps for the mesh. For more information on the refinement see the geoSphere and subTri functions and associated demo files. A complete sphere is first represented as an icosahedron which is then refined (subtriangulated) hemiSphereStruct.nRefineRegions times (whereby for each iteration each triangle is subdevided into 4 triangles). This initial subdevision defines the element regions. The next refinement step defines the number of triangles for each region. The field hemiSphereStruct.nRefineMesh defines how many times each mesh region is iteratively subtriangulated.

Examples

clear; close all; clc;

Plot settings

fontSize=25;
faceAlpha=1;
lineWidth=1;
markerSize=5;

Example: Creating a hemisphere mesh using the hemiSphereRegionMesh function

Defining hemi-sphere parameters

hemiSphereStruct.sphereRadius=1; %Sphere radius
hemiSphereStruct.nRefineRegions=2; %Number of refinement steps for regions
hemiSphereStruct.nRefineMesh=2; %Number of refinement steps for mesh

% Get hemi-sphere mesh
[F,V,regionIndSub]=hemiSphereRegionMesh(hemiSphereStruct);

Plotting results

%Creating a random color for the each mesh region
cmap=hsv(max(regionIndSub(:)));
cmap=cmap(randperm(size(cmap,1)),:); %scramble colors

hf=cFigure;
hold on; view(3);
title('Half dome showing regions with subtriangulated mesh','FontSize',fontSize);
xlabel('X','FontSize',fontSize); ylabel('Y','FontSize',fontSize); zlabel('Z','FontSize',fontSize);

hp=patch('Faces',F,'Vertices',V);
set(hp,'FaceColor','flat','EdgeColor','k','CData',regionIndSub,'FaceAlpha',faceAlpha,'LineWidth',lineWidth,'Marker','o','MarkerFaceColor','k','MarkerEdgeColor','none','MarkerSize',markerSize);

colormap(cmap); %colorbar;
axis tight;  axis equal;  grid on;
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) 2017 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/.