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function hm = plotmesh(node, varargin)
%
% hm=plotmesh(node,face,elem,opt)
%
% plot surface and volumetric meshes
%
% author: Qianqian Fang <q.fang at neu.edu>
%
% input:
% node: a node coordinate list, 3 columns for x/y/z; if node has a
% 4th column, it will be used to set the color at each node.
% face: a triangular surface face list; if face has a 4th column,
% it will be used to separate the surface into
% sub-surfaces and display them in different colors;
% face can be a cell array, each element of the array represents
% a polyhedral facet of the mesh, if an element is an array with
% two array subelements, the first one is the node index, the
% second one is a scalar as the group id of the facet.
% elem: a tetrahedral element list; if elem has a 5th column,
% it will be used to separate the mesh into
% sub-domains and display them in different colors.
% opt: additional options for the plotting
%
% for simple point plotting, opt can be markers
% or color options, such as 'r.', or opt can be
% a logic statement to select a subset of the mesh,
% such as 'x>0 & y+z<1', or an equation defining
% a plane at which a mesh cross-section is plotted, for
% example 'y=2*x'; opt can have more than one
% items to combine these options, for example:
% plotmesh(...,'x>0','r.'); the range selector must
% appear before the color/marker specifier
%
% in the event where all of the above inputs have extra settings related to
% the color of the plot, the priorities are given in the following order:
%
% opt > node(:,4) > elem(:,5) > face(:,4)
%
% output:
% hm: handle or handles (vector) to the plotted surfaces
%
% example:
%
% h=plotmesh(node,'r.');
% h=plotmesh(node,'x<20','r.');
% h=plotmesh(node,face);
% h=plotmesh(node,face,'y>10');
% h=plotmesh(node,face,'facecolor','r');
% h=plotmesh(node,elem,'x<20');
% h=plotmesh(node,elem,'x<20 & y>0');
% h=plotmesh(node,face,elem);
% h=plotmesh(node,face,elem,'linestyle','--');
% h=plotmesh(node,elem,'z=20');
%
% -- this function is part of iso2mesh toolbox (http://iso2mesh.sf.net)
%
selector = [];
opt = [];
face = [];
elem = [];
if (nargin > 1)
hasopt = 0;
for i = 1:length(varargin)
if (ischar(varargin{i}))
if (~isempty(regexp(varargin{i}, '[x-zX-Z]')) && ~isempty(regexp(varargin{i}, '[><=&|]')))
selector = varargin{i};
if (nargin >= i + 1)
opt = varargin(i + 1:end);
end
else
opt = varargin(i:end);
end
if (i == 1)
face = [];
elem = [];
elseif (i == 2)
if (iscell(varargin{1}) || size(varargin{1}, 2) < 4)
face = varargin{1};
elem = [];
elseif (size(varargin{1}, 2) == 4)
faceid = unique(varargin{1}(:, 4));
if (length(faceid) == 1)
face = varargin{1};
elem = [];
elseif (any(hist(varargin{1}(:, 4), unique(varargin{1}(:, 4))) > 50))
face = varargin{1};
elem = [];
else
elem = varargin{1};
face = [];
end
else
elem = varargin{1};
face = [];
end
elseif (i == 3)
face = varargin{1};
elem = varargin{2};
end
hasopt = 1;
break
end
end
if (hasopt == 0)
if (length(varargin) >= 2)
face = varargin{1};
elem = varargin{2};
if (length(varargin) > 2)
opt = varargin(3:end);
end
elseif (iscell(varargin{1}) || size(varargin{1}, 2) < 4)
face = varargin{1};
elem = [];
elseif (size(varargin{1}, 2) == 4)
faceid = unique(varargin{1}(:, 4));
if (length(faceid) == 1)
face = varargin{1};
elem = [];
elseif (any(hist(varargin{1}(:, 4), unique(varargin{1}(:, 4))) > 50))
face = varargin{1};
elem = [];
else
elem = varargin{1};
face = [];
end
else
elem = varargin{1};
face = [];
end
end
end
holdstate = ishold;
if (~holdstate)
cla;
end
if (size(node, 2) == 4 && size(elem, 2) == 5)
warning(['You have specified the node colors by both the 4th ' ...
'and 5th columns of node and face inputs, respectively. ' ...
'The node input takes priority']);
end
if (isempty(face) && isempty(elem))
if (isempty(selector))
if (isempty(opt))
h = plot3(node(:, 1), node(:, 2), node(:, 3), 'o');
else
h = plot3(node(:, 1), node(:, 2), node(:, 3), opt{:});
end
else
x = node(:, 1);
y = node(:, 2);
z = node(:, 3);
idx = eval(['find(' selector ')']);
if (~isempty(idx))
if (isempty(opt))
h = plot3(node(idx, 1), node(idx, 2), node(idx, 3), 'o');
else
h = plot3(node(idx, 1), node(idx, 2), node(idx, 3), opt{:});
end
else
warning('nothing to plot');
end
end
end
if (~isempty(face))
hold on;
if (isempty(selector))
if (isempty(opt))
h = plotsurf(node, face);
else
h = plotsurf(node, face, opt{:});
end
else
if (iscell(face))
cent = meshcentroid(node, face);
else
cent = meshcentroid(node, face(:, 1:3));
end
x = cent(:, 1);
y = cent(:, 2);
z = cent(:, 3);
idx = eval(['find(' selector ')']);
if (~isempty(idx))
if (iscell(face))
h = plotsurf(node, face(idx), opt{:});
else
h = plotsurf(node, face(idx, :), opt{:});
end
else
warning('no surface to plot');
end
end
end
if (~isempty(elem))
hold on;
if (isempty(selector))
if (isempty(opt))
h = plottetra(node, elem);
else
h = plottetra(node, elem, opt{:});
end
else
cent = meshcentroid(node, elem(:, 1:4));
x = cent(:, 1);
y = cent(:, 2);
z = cent(:, 3);
if (regexp(selector, '='))
if (size(node, 2) == 4)
[cutpos, cutvalue, facedata] = qmeshcut(elem, node(:, 1:3), node(:, 4), selector);
elseif (size(node, 2) == 3)
[cutpos, cutvalue, facedata] = qmeshcut(elem, node, node(:, 3), selector);
else
error('plotmesh can only plot 3D tetrahedral meshes');
end
if (~isreal(cutvalue))
cutvalue = abs(cutvalue);
end
h = patch('Vertices', cutpos, 'Faces', facedata, 'FaceVertexCData', cutvalue, 'facecolor', 'interp', opt{:});
else
idx = eval(['find(' selector ')']);
if (~isempty(idx))
if (isempty(opt))
h = plottetra(node, elem(idx, :));
else
h = plottetra(node, elem(idx, :), opt{:});
end
else
warning('no tetrahedral element to plot');
end
end
end
end
if (exist('h', 'var') && ~holdstate)
hold off;
end
if (exist('h', 'var'))
if (any(get(gca, 'dataaspectratio') > 1e8))
view(3);
end
axis equal;
end
if (exist('h', 'var') && nargout >= 1)
hm = h;
end
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