File: steinerPolygon.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 nodes = steinerPolygon(points)
%STEINERPOLYGON Create a Steiner polygon from a set of vectors.
%
%   NODES = steinerPolygon(VECTORS);
%   Builds the (convex) polygon which contains an edge for each one of the
%   vectors given by VECTORS.
%
%   Example
%   n = steinerPolygon([1 0;0 1;1 1]);
%   drawPolygon(n);
%
%   See also 
%   polygons2d, drawPolygon

% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2006-04-28
% Copyright 2006-2023 INRA - CEPIA Nantes - MIAJ (Jouy-en-Josas)

nodes = [0 0];
for i=1:length(points)
    nodes = [nodes; nodes+repmat(points(i,:), [size(nodes, 1) 1])]; %#ok<AGROW>
end

K = convhull(nodes(:,1), nodes(:,2));
nodes = nodes(K, :);