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% mergesacc() - handle temporal saccade clusters
%
% Usage:
% >> sac = mergesacc(sac,x,mindist,mode)
%
% Inputs:
% sac output of saccpar (size: nsac * 9 columns)
% x eye position of corresponding data epoch
% mindist minimum required distance (in samples) between detected
% movements in order to treat them as separate saccades
% (i.e. minimum allowed fixation duration)
% mode [1,2,3, or 4] Specifies way in which saccade clusters
% are treated:
% 1: do nothing, keep all saccades
% 2: only first saccade of each cluster is kept
% 3: only largest saccade of each cluster is kept
% 4: saccades of the cluster are merged into one (longer) sacc.
%
% Outputs:
% sac modified sac, changed according to "mode"
% % columns of [sac]:
% 1: saccade onset (sample)
% 2: saccade offset (sample)
% 3: duration (samples)
% 4: NaN (originally: delay between eyes in samples)
% 5: vpeak (peak velocity)
% 6: saccade distance
% 7: saccade angle (based on distance)
% 8: saccade amplitude
% 9: saccade angle (based on amplitude)
%
% Note: This function is not part of the original algorithms proposed by
% Engbert et al. (2003, 2006). It intends to solve the problem that
% single eye movements may be detected as multiple saccades by microsacc,
% binsacc, and saccpar. For example, overshoots towards the end of saccades
% ("glissades") are frequently detected as a separate saccade events, even
% though they are probably better regarded as part of the same movement.
% One consequence of this can be extremely short fixation durations
% (e.g. < 50 ms).
%
% Note: This function is experimental.
%
% See also:
% smoothdata, vecvel, velthresh, microsacc_plugin, binsacc, saccpar
%
% Author: od
% Copyright (C) 2009-2017 Olaf Dimigen & Ulrich Reinacher, HU Berlin
% olaf.dimigen@hu-berlin.de
% This program is free software; you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation; either version 3 of the License, or
% (at your option) any later version.
%
% This program is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with this program; if not, write to the Free Software
% Foundation, 51 Franklin Street, Boston, MA 02110-1301, USA
function sac = mergesacc(sac,x,mindist,mode)
if nargin < 4
error('\n%s() expects four inputs',mfilename)
end
% column with sacc. size information
% col. 6: distance (sacc. endpoint minus startpoint)
% col. 8: amplitude (max minus min in full sacc. trajectory)
AMPCOL = 6;
nsac = size(sac,1);
keep = true(nsac,1); % vector of saccades to keep
% determine temporal distance to preceding saccade
if nsac > 1
tempdist = [NaN; sac(2:end,1)-sac(1:end-1,2)];
else
tempdist = NaN;
end
% get index of saccades that form temporal clusters
ix_close = find(tempdist < mindist);
if ~isempty(ix_close)
% get beginning, end, length of saccade clusters
clustlist = findsequence2(ix_close);
clustlist(:,1) = clustlist(:,1)-1; % include first saccade
clustlist(:,3) = clustlist(:,3)+1; % update cluster length
% go tru saccade clusters
for n = 1:size(clustlist,1)
ix = clustlist(n,1):clustlist(n,2);
% how to treat saccade clusters?
switch mode
case 1
% do nothing
return
case 2
% keep first saccade of each cluster
keep(ix(2):ix(end)) = 0;
case 3
% keep largest saccade of each cluster
keep(ix) = 0;
[tmp,ix_max] = max(sac(ix,AMPCOL));
keep(ix(ix_max)) = 1;
case 4
% merge all saccades of cluster into one movement
newsac(1) = sac(ix(1),1); % onset
newsac(2) = sac(ix(end),2); % offset
newsac(3) = newsac(2)-newsac(1)+1; % duration
newsac(4) = NaN; % originally: delay between eyes
% saccade peak velocity (vmax), here: max of individual vmax'es of cluster saccades
newsac(5) = max(sac(ix,5));
% alternative: go back to raw data to get overall vmax
% newsac(5) = max( sqrt( vel(newsac(1):newsac(2),1).^2 + vel(newsac(1):newsac(2),2).^2 ) );
% saccade distance (dx,dy) & angle (based on distance)
dx = x(newsac(2),1)-x(newsac(1),1);
dy = x(newsac(2),2)-x(newsac(1),2);
newsac(6) = sqrt(dx.^2+dy.^2);
newsac(7) = atan2(dy,dx); % angle1
% saccade amplitude (dX,dY) & angle (based on amplitude)
i = newsac(1):newsac(2);
[minx, ix1] = min(x(i,1));
[maxx, ix2] = max(x(i,1));
[miny, iy1] = min(x(i,2));
[maxy, iy2] = max(x(i,2));
dX = sign(ix2-ix1)*(maxx-minx);
dY = sign(iy2-iy1)*(maxy-miny);
newsac(8) = sqrt(dX.^2+dY.^2);
newsac(9) = atan2(dX,dY); % angle2
% insert new saccade into table
sac(ix(1),1:9) = newsac;
keep(ix(1)) = 1;
keep(ix(2):ix(end)) = 0; % delete other sacc. of cluster
otherwise
error('\n%s(): Cluster mode not recognized. 1, 2, 3, or 4 expected.',mfilename)
end
end % cluster loop
% remove other saccades of clusters
sac = sac(keep,:);
end