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## Copyright (C) 2024 David Legland
## All rights reserved.
##
## Redistribution and use in source and binary forms, with or without
## modification, are permitted provided that the following conditions are met:
##
## 1 Redistributions of source code must retain the above copyright notice,
## this list of conditions and the following disclaimer.
## 2 Redistributions in binary form must reproduce the above copyright
## notice, this list of conditions and the following disclaimer in the
## documentation and/or other materials provided with the distribution.
##
## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ''AS IS''
## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
## IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
## ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE FOR
## ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
## DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
## SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
## CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
## OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
## OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
##
## The views and conclusions contained in the software and documentation are
## those of the authors and should not be interpreted as representing official
## policies, either expressed or implied, of the copyright holders.
function varargout = cylinderMesh(cyl, varargin)
%CYLINDERMESH Create a 3D mesh representing a cylinder.
%
% [V, F] = cylinderMesh(CYL)
% Computes vertex coordinates and face vertex indices of a mesh
% representing a 3D cylinder given as [X1 Y1 Z1 X2 Y2 Z2 R].
%
% [V, F] = cylinderMesh(..., OPT)
% with OPT = 'open' (0) (default) or 'closed' (1), specify if the bases
% of the cylinder should be included.
%
% [V, F] = cylinderMesh(..., NAME, VALUE);
% Specifies one or several options using parameter name-value pairs.
% Available options are:
% 'nPerimeter' the number of points represeting the perimeter
% 'nRho' the number of circles along the hight
%
% Example
% % Draw a rotated cylinder
% cyl = [0 0 0 10 20 30 5];
% [v, f] = cylinderMesh(cyl);
% figure;drawMesh(v, f, 'FaceColor', 'r');
% view(3); axis equal;
%
% % Draw three mutually intersecting cylinders
% p0 = [30 30 30];
% p1 = [90 30 30];
% p2 = [30 90 30];
% p3 = [30 30 90];
% [v1, f1] = cylinderMesh([p0 p1 25]);
% [v2, f2] = cylinderMesh([p0 p2 25]);
% [v3, f3] = cylinderMesh([p0 p3 25],'closed','nPeri',40,'nRho',20);
% figure; hold on;
% drawMesh(v1, f1, 'FaceColor', 'r');
% drawMesh(v2, f2, 'FaceColor', 'g');
% drawMesh(v3, f3, 'FaceColor', 'b');
% view(3); axis equal
% set(gcf, 'renderer', 'opengl')
%
% See also
% drawCylinder, torusMesh, sphereMesh
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2012-10-25, using Matlab 7.9.0.529 (R2009b)
% Copyright 2012-2023 INRA - Cepia Software Platform
parser = inputParser;
addRequired(parser, 'cyl', @(x) validateattributes(x, {'numeric'},...
{'size',[1 7],'real','finite','nonnan'}));
capParValidFunc = @(x) (islogical(x) ...
|| isequal(x,1) || isequal(x,0) || any(validatestring(x, {'open','closed'})));
addOptional(parser,'cap','open', capParValidFunc);
addParameter(parser, 'nPerimeter', 20, @(x) validateattributes(x,{'numeric'},...
{'integer','scalar','>=',4}));
addParameter(parser, 'nRho', 10, @(x) validateattributes(x,{'numeric'},...
{'integer','scalar','>=',2}));
parse(parser,cyl,varargin{:});
cyl=parser.Results.cyl;
cap=lower(parser.Results.cap(1));
NoPP=parser.Results.nPerimeter;
nRho=parser.Results.nRho;
% extract cylinder data
p1 = cyl(:, 1:3);
p2 = cyl(:, 4:6);
r = cyl(:, 7);
% compute length and orientation
[theta, phi, rho] = cart2sph2d(p2 - p1);
% parametrisation on x
t = linspace(0, 2*pi, NoPP+1);
lx = r * cos(t);
ly = r * sin(t);
% parametrisation on z
lz = linspace(0, rho, nRho);
% generate surface grids
x = repmat(lx, [length(lz) 1]);
y = repmat(ly, [length(lz) 1]);
z = repmat(lz', [1 length(t)]);
% transform points
trans = localToGlobal3d(p1, theta, phi, 0);
[x, y, z] = transformPoint3d(x, y, z, trans);
% convert to FV mesh
[vertices, faces] = surfToMesh(x, y, z, 'xPeriodic', true);
% Close cylinder
if cap == 'c' || cap == 1
nR = round(r/(rho/(nRho-1)));
% Base at p1
P1 = circleMesh([0 0 0 r 0 0 0], 'nP',NoPP, 'nR',nR);
P1 = transformMesh(P1, trans);
P1.faces = fliplr(P1.faces);
% Base at p2
P2 = circleMesh([transformPoint3d(p2, inv(trans)) r 0 0 0], 'nP',NoPP, 'nR',nR);
P2 = transformMesh(P2, trans);
% Triangulate the lateral surface of the mesh
latSurf.vertices = vertices;
latSurf.faces = triangulateFaces(faces);
mesh = concatenateMeshes(latSurf, P1, P2);
[vertices, faces] = removeDuplicateVertices(mesh, 1e-8);
end
% format output
varargout = formatMeshOutput(nargout, vertices, faces);
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