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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 = grOpen(varargin)
%GROPEN Morphological opening on graph.
%
% LBL2 = grOpen(EDGES, LBL1)
% The labels are the result of a morphological erosion followed by a
% morphological dilation.
%
% Example
% grOpen
%
% See also
% grClose, grErode, grDilate
%
% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2006-01-20
% Copyright 2006-2023 INRA - CEPIA Nantes - MIAJ (Jouy-en-Josas)
if length(varargin) == 2
edges = varargin{1};
lbl = varargin{2};
elseif length(varargin) == 3
edges = varargin{2};
lbl = varargin{3};
else
error('Wrong number of arguments in "grOpen"');
end
uni = unique(edges(:));
% performs erosion
lbl2 = zeros(size(lbl));
for n = 1:length(uni)
neigh = grAdjacentNodes(edges, uni(n));
lbl2(uni(n)) = min(lbl([uni(n); neigh]));
end
% performs dilation
for n = 1:length(uni)
neigh = grAdjacentNodes(edges, uni(n));
lbl(uni(n)) = max(lbl2([uni(n); neigh]));
end
varargout{1} = lbl;
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