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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 average = pointSetsAverage(pointSets, varargin)
%POINTSETSAVERAGE Compute the average of several point sets.
%
% AVERAGESET = pointSetsAverage(POINTSETS)
% POINTSETS is a cell array containing several liste of points with the
% same number of points. The function compute the average coordinate of
% each vertex, and return the resulting average point set.
%
% Example
% pointSetsAverage
%
% See also
%
% ------
% 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
% check input
if ~iscell(pointSets)
error('First argument must be a cell array');
end
% number of sets
nSets = length(pointSets);
% get reference size of coordinates array
set1 = pointSets{1};
refSize = size(set1);
% allocate memory for result
average = zeros(refSize);
% iterate on point sets
for i = 1:nSets
% get current point set, and check its size
set = pointSets{i};
if sum(size(set) ~= refSize) > 0
error('All point sets must have the same size');
end
% cumulative sum of coordinates
average = average + set;
end
% normalize by the number of sets
average = average / nSets;
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