File: boundingBox3d.m

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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 box = boundingBox3d(points)
%BOUNDINGBOX3D Bounding box of a set of 3D points.
%
%   BOX = boundingBox3d(POINTS)
%   Returns the bounding box of the set of points POINTS. POINTS is a
%   N-by-3 array containing points coordinates. The result BOX is a 1-by-6 
%   array, containing:
%   [XMIN XMAX YMIN YMAX ZMIN ZMAX]
%
%   Example
%     % Draw bounding box of a cubeoctehedron
%     [v e f] = createCubeOctahedron;
%     box3d = boundingBox3d(v);
%     figure; hold on;
%     drawMesh(v, f);
%     drawBox3d(box3d);
%     set(gcf, 'renderer', 'opengl')
%     axis([-2 2 -2 2 -2 2]);
%     view(3)
%     
%   See also 
%   boxes3d, drawBox3d

% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2011-04-01, using Matlab 7.9.0.529 (R2009b)
% Copyright 2011-2023 INRA - Cepia Software Platform

% Parse input
if isstruct(points)
    if isfield(points, 'vertices')
    points = points.vertices;
    else
        error(['If a struct is passed to boundingBox3d, it must have ' ...
            'the field ''vertices''!'])
    end
end

% compute extreme x and y values
xmin = min(points(:,1));
xmax = max(points(:,1));
ymin = min(points(:,2));
ymax = max(points(:,2));
box = [xmin xmax ymin ymax];

% process case of 3D points
if size(points, 2) > 2
    zmin = min(points(:,3));
    zmax = max(points(:,3));
    box = [xmin xmax ymin ymax zmin zmax];
end