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