File: intersectBoxes3d.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 = intersectBoxes3d(box1, box2)
%INTERSECTBOXES3D Intersection of two 3D bounding boxes.
%
%   RES = intersectBoxes3d(BOX1, BOX2)
%
%   Example
%   box1 = [5 20 5 30 10 50];
%   box2 = [0 15 0 15 0 20];
%   intersectBoxes3d(box1, box2)
%   ans = 
%       5 15 5 15 10 20
%
%   See also 
%   boxes3d, drawBox3d, mergeBoxes3d
%

% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2010-07-26, using Matlab 7.9.0.529 (R2009b)
% Copyright 2010-2023 INRA - Cepia Software Platform

% unify sizes of data
if size(box1,1) == 1
    box1 = repmat(box1, size(box2,1), 1);
elseif size(box2, 1) == 1
    box2 = repmat(box2, size(box1,1), 1);
elseif size(box1,1) ~= size(box2,1)
    error('Bad size for inputs');
end

% compute extreme coords
mini = min(box1(:,2:2:end), box2(:,2:2:end));
maxi = max(box1(:,1:2:end), box2(:,1:2:end));

% concatenate result into a new box structure
box = [maxi(:,1) mini(:,1) maxi(:,2) mini(:,2) maxi(:,3) mini(:,3)];