1## Copyright (C) 2021 David Legland 2## All rights reserved. 3## 4## Redistribution and use in source and binary forms, with or without 5## modification, are permitted provided that the following conditions are met: 6## 7## 1 Redistributions of source code must retain the above copyright notice, 8## this list of conditions and the following disclaimer. 9## 2 Redistributions in binary form must reproduce the above copyright 10## notice, this list of conditions and the following disclaimer in the 11## documentation and/or other materials provided with the distribution. 12## 13## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ''AS IS'' 14## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 15## IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 16## ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE FOR 17## ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 18## DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR 19## SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER 20## CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, 21## OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE 22## OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 23## 24## The views and conclusions contained in the software and documentation are 25## those of the authors and should not be interpreted as representing official 26## policies, either expressed or implied, of the copyright holders. 27 28function average = pointSetsAverage(pointSets, varargin) 29%POINTSETSAVERAGE Compute the average of several point sets. 30% 31% AVERAGESET = pointSetsAverage(POINTSETS) 32% POINTSETS is a cell array containing several liste of points with the 33% same number of points. The function compute the average coordinate of 34% each vertex, and return the resulting average point set. 35% 36% Example 37% pointSetsAverage 38% 39% See also 40% 41% 42% ------ 43% Author: David Legland 44% e-mail: david.legland@grignon.inra.fr 45% Created: 2011-04-01, using Matlab 7.9.0.529 (R2009b) 46% Copyright 2011 INRA - Cepia Software Platform. 47 48% check input 49if ~iscell(pointSets) 50 error('First argument must be a cell array'); 51end 52 53% number of sets 54nSets = length(pointSets); 55 56% get reference size of coordinates array 57set1 = pointSets{1}; 58refSize = size(set1); 59 60% allocate memory for result 61average = zeros(refSize); 62 63% iterate on point sets 64for i = 1:nSets 65 % get current point set, and check its size 66 set = pointSets{i}; 67 if sum(size(set) ~= refSize) > 0 68 error('All point sets must have the same size'); 69 end 70 71 % cumulative sum of coordinates 72 average = average + set; 73end 74 75% normalize by the number of sets 76average = average / nSets; 77