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% BINNING_3D - bin data along first three axis,
% x = binning_3D(x, binning, centered)
%
% Inputs:
% **x - original array, upsampling will be performed only along the first three axis, array size has to be dividable by binning size
% **binning - scalar or (3,1) array, positive integer binning factor
% *optional*
% **centered - default false, shift the binning by binning/2 offset
%
% returns:
% ++x - binned array
%*-----------------------------------------------------------------------*
%|                                                                       |
%|  Except where otherwise noted, this work is licensed under a          |
%|  Creative Commons Attribution-NonCommercial-ShareAlike 4.0            |
%|  International (CC BY-NC-SA 4.0) license.                             |
%|                                                                       |
%|  Copyright (c) 2017 by Paul Scherrer Institute (http://www.psi.ch)    |
%|                                                                       |
%|      Author: CXS group, PSI  |
%*-----------------------------------------------------------------------*
% You may use this code with the following provisions:
%
% If the code is fully or partially redistributed, or rewritten in another
% computing language this notice should be included in the redistribution.
%
% If this code, or subfunctions or parts of it, is used for research in a
% publication or if it is fully or partially rewritten for another
% computing language the authors and institution should be acknowledged
% in written form in the publication: Data processing was carried out
% using the cSAXS matlab package developed by the CXS group,
% Paul Scherrer Institut, Switzerland.
% Variations on the latter text can be incorporated upon discussion with
% the CXS group if needed to more specifically reflect the use of the package
% for the published work.
%
% A publication that focuses on describing features, or parameters, that
% are already existing in the code should be first discussed with the
% authors.
%
% This code and subroutines are part of a continuous development, they
% are provided as they are without guarantees or liability on part
% of PSI or the authors. It is the user responsibility to ensure its
% proper use and the correctness of the results.
function x = binning_3D(x, binning, centered)
if all(binning == 1); return ; end
if nargin < 3
centered = false;
end
if ismatrix(x)
x = utils.binning_2D(x,binning, centered);
return
end
binning = reshape(binning,1,[]);
assert(ndims(x) == 3, 'Input has to be 3D array')
assert(all(mod(size(x),binning)==0), 'Array has to splitable by binning')
assert(all(size(x) >binning ), 'Array has to larger than binning')
Npix = size(x);
if isscalar(binning)
binning = repmat(binning,3,1);
end
if centered
% make the bins centered
x = x(ceil(binning(1)/2):end-ceil(binning(1)/2)-1, ceil(binning(2)/2):end-ceil(binning(2)/2)-1,ceil(binning(3)/2):end-ceil(binning(3)/2)-1);
Npix(1:3) = Npix(1:3) - reshape(binning,1,[]);
end
x = reshape(x,binning(1), Npix(1)/binning(1), binning(2), Npix(2)/binning(2), binning(3), Npix(3)/binning(3) );
x = squeeze(sum(sum(sum(x,1),3),5));
x = x / prod(binning);
end