identifyMaximaSlidingWindow

 find maxima in periodic data

 The idea is to slide a window over the periodic data and count the times
   for which certain values are the maximum in the window.

 THIS IS NO USER FUNCTION

• identifyEdges identify edges of a boundary

0001 function maxIndexVector = identifyMaximaSlidingWindow(dataVector, windowSize)
0002 % find maxima in periodic data
0003 %
0004 % The idea is to slide a window over the periodic data and count the times
0005 %   for which certain values are the maximum in the window.
0006 %
0007 % THIS IS NO USER FUNCTION
0008 
0009 % The elk-library: convex geometry applied to crystallization modeling.
0010 %   Copyright (C) 2013 Alexander Reinhold
0011 %
0012 % This program is free software: you can redistribute it and/or modify it
0013 %   under the terms of the GNU General Public License as published by the
0014 %   Free Software Foundation, either version 3 of the License, or (at your
0015 %   option) any later version.
0016 %
0017 % This program is distributed in the hope that it will be useful, but
0018 %   WITHOUT ANY WARRANTY; without even the implied warranty of
0019 %   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
0020 %   General Public License for more details.
0021 %
0022 % You should have received a copy of the GNU General Public License along
0023 %   with this program.  If not, see <http://www.gnu.org/licenses/>.
0024 
0025 % add a tiny noise to avoid multiple similar edges
0026 dataVector = dataVector + rand(size(dataVector))*max(dataVector)*1e-10;
0027 
0028 nData = length(dataVector);
0029 filterVector = true(size(dataVector));
0030 for iPos = 1:nData
0031     indexVector = iPos:(iPos+windowSize-1);
0032     indexVector = mod(indexVector - 1, nData) + 1;
0033     filterVector(indexVector) = filterVector(indexVector) & ...
0034         (dataVector(indexVector) == max(dataVector(indexVector)));
0035 end
0036 
0037 maxIndexVector = find(filterVector);