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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 = drawMesh(varargin)
%DRAWMESH Draw a 3D mesh defined by vertex and face arrays.
%
% drawMesh(VERTICES, FACES)
% Draws the 3D mesh defined by vertices VERTICES and the faces FACES.
% vertices is a NV-by-3 array containing coordinates of vertices, and
% FACES is either a NF-by-3 or NF-by-4 array containing face vertex
% indices of the triangular or rectangular faces.
% FACES can also be a cell array, each cell containing an array of vertex
% indices for the corresponding face. In this case the faces may have
% variable number of vertices.
%
% drawMesh(MESH)
% Specifies the mesh as a structure containing at least the fields
% 'vertices' and 'faces', using the same conventions as above.
%
% drawMesh(..., COLOR)
% Use the specified color to render the mesh faces.
%
% drawMesh(..., NAME, VALUE)
% Use one or several pairs of parameter name/value to specify drawing
% options. Options are the same as the 'patch' function.
%
% drawMesh(AX,...)
% Draw into the axis specified by AX instead of the current axis.
%
%
% H = drawMesh(...);
% Also returns a handle to the created patch.
%
% Example:
% % display a polyhedra with polygonal faces
% [v, f] = createSoccerBall;
% drawMesh(v, f);
%
% % Display a mesh representing a torus, using uniform face color
% [v, f] = torusMesh;
% figure; hold on; axis equal; view(3);
% drawMesh(v, f, 'FaceColor', 'g')
% % paint the mesh according to vertex x-coordinate
% figure; hold on; axis equal; view(3);
% drawMesh(v, f, 'VertexColor', v(:,1), 'LineStyle', 'none');
%
% See also
% meshes3d, polyhedra, patch
%
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2005-02-10
% Copyright 2005-2023 INRA - TPV URPOI - BIA IMASTE
%% Parse input arguments
% extract first argument
var1 = varargin{1};
varargin(1) = [];
% Check if first input argument is an axes handle
if isAxisHandle(var1)
ax = var1;
var1 = varargin{1};
varargin(1) = [];
else
ax = gca;
end
% Check if the input is a mesh structure
if isstruct(var1)
% extract data to display
vertices = var1.vertices;
faces = var1.faces;
else
% assumes input is given with vertices+faces arrays
vertices = var1;
faces = varargin{1};
varargin(1) = [];
end
% if vertices are 2D points, add a z=0 coordinate
if size(vertices, 2) == 2
vertices(1, 3) = 0;
end
%% Pre-processing for formatting display options
% default color for drawing mesh
faceColor = [1 0 0];
% combine defualt face color with varargin
if isempty(varargin)
varargin = [{'FaceColor'}, faceColor];
elseif length(varargin) == 1
% if only one optional argument is provided, it is assumed to be color
faceColor = varargin{1};
varargin = [{'FaceColor'}, varargin];
elseif length(varargin) > 1
% check if FaceColor option is specified,
% and if not use default face color
indFC = strcmpi(varargin(1:2:end), 'FaceColor');
if ~any(indFC)
varargin = [{'FaceColor'}, {faceColor}, varargin];
end
end
% check if simplified options are present
indVC = find(strcmpi(varargin(1:2:end), 'VertexColor'));
if ~isempty(indVC)
vertexColor = varargin{indVC * 2};
varargin([indVC*2-1 indVC*2]) = [];
indFC = find(strcmpi(varargin(1:2:end), 'FaceColor'));
if ~isempty(indFC)
varargin([indFC*2-1 indFC*2]) = [];
end
varargin = [{'FaceVertexCData'}, {vertexColor}, {'FaceColor'}, {'interp'}, varargin];
end
%% Draw the mesh
% overwrite on current figure
hold(ax, 'on');
% Use different processing depending on the type of faces
if isnumeric(faces)
% array FACES is a NF-by-NV indices array, with NF: number of faces,
% and NV: number of vertices per face
h = patch('Parent', ax, ...
'vertices', vertices, 'faces', faces, ...
varargin{:});
elseif iscell(faces)
% array FACES is a cell array. Need to draw each face as a single
% patch.
h = zeros(length(faces(:)), 1);
for iFace = 1:length(faces(:))
% get vertices of the cell
face = faces{iFace};
% Special processing in case of multiple polygonal face:
% each polygonal loop is separated by a NaN.
if sum(isnan(face)) ~= 0
% find indices of loops breaks
inds = find(isnan(face));
% replace NaNs by index of first vertex of each polygon
face(inds(2:end)) = face(inds(1:end-1)+1);
face(inds(1)) = face(1);
face(length(face)+1)= face(inds(end)+1);
end
% draw current face
cnodes = vertices(face, :);
h(iFace) = patch(ax, cnodes(:, 1), cnodes(:, 2), cnodes(:, 3), faceColor);
end
% set up drawing options
set(h, varargin{:});
else
error('MatGeom:drawMesh', 'Second argument must be a face array');
end
%% Process output arguments
% format output parameters
if nargout > 0
varargout = {h};
end
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