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% SMOOTH_EDGES takes stack of 2D images and smooths boundaries to avoid sharp edge artefacts during imshift_fft
%
% img = smooth_edges(img, win_size, dims)
%
% Inputs:
% **img - 2D stacked array, smoothing is done along first two dimensions
% **win_size - size of the smoothing region, default is 3
% **dims - list of dimensions along which will by smoothing done
% Outputs:
% ++img - smoothed 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 img = smooth_edges(img, win_size, dims)
if nargin < 3
dims = [1,2]; % default is smooth along first 2 dimensions
end
if nargin < 2
win_size = 5;
end
try
Npix = size(img);
for i = dims
ind = {':',':',':'};
if Npix(i) <= 2*win_size ; continue; end
win_size = max(win_size, 3);
% get indices of the edge regions
ind{i} = [Npix(i)-win_size+1:Npix(i),1:win_size];
ker_size = [1,1];
ker_size(i) = win_size;
img_tmp = img(ind{:});
kernel = reshape(gausswin(win_size,2.5), ker_size);
% smooth across the image edges
img_tmp = convn(img_tmp, kernel, 'same');
% avoid boundary issues from convolution
boundary_shape = [1,1];
boundary_shape(i) = length(ind{i});
img_tmp = bsxfun(@rdivide, img_tmp, conv(ones(boundary_shape), kernel, 'same'));
img(ind{:}) = img_tmp;
end
catch err
warning('Smooth edges failed: %s', err.message)
end
end
function w = gausswin(L, a)
% Compute window according to [1]
N = L-1;
n = (0:N)'-N/2;
w = exp(-(1/2)*(a*n/(N/2)).^2);
end