obtainSphere

 Obtain the V-representation of an approximized two-dimensional sphere 

 This is a subfunction used by obtainVrep. Use obtainVrep instead.

 See also: obtainVRep, obtainHRep

• obtainVrep3d This is a subfunction.

0001 function vrep = obtainSphere(n)
0002 % Obtain the V-representation of an approximized two-dimensional sphere
0003 %
0004 % This is a subfunction used by obtainVrep. Use obtainVrep instead.
0005 %
0006 % See also: obtainVRep, obtainHRep
0007 
0008 % The elk-library: convex geometry applied to crystallization modeling.
0009 %   Copyright (C) 2012 Alexander Reinhold
0010 %
0011 % This program is free software: you can redistribute it and/or modify it
0012 %   under the terms of the GNU General Public License as published by the
0013 %   Free Software Foundation, either version 3 of the License, or (at your
0014 %   option) any later version.
0015 %
0016 % This program is distributed in the hope that it will be useful, but
0017 %   WITHOUT ANY WARRANTY; without even the implied warranty of
0018 %   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
0019 %   General Public License for more details.
0020 %
0021 % You should have received a copy of the GNU General Public License along
0022 %   with this program.  If not, see <http://www.gnu.org/licenses/>.
0023 
0024 phi = 0:(pi/n):(pi-pi/n/2);
0025 theta = 0:(pi/n):(2*pi-pi/n/2);
0026 
0027 phi = ones(2*n,1)*phi;
0028 theta = theta'*ones(1,n);
0029 
0030 X = sin(theta).*cos(phi);
0031 Y = sin(theta).*sin(phi);
0032 Z = cos(theta);
0033 
0034 vrep.V(:,1) = X(:);
0035 vrep.V(:,2) = Y(:);
0036 vrep.V(:,3) = Z(:);