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% IMGAUSSFILT3_CONV apply gaussian smoothing along all three dimensions using convolution,
% faster than matlab alternative
%
%
% A = imgaussfilt3_conv(A,sigma)
%
% Inputs:
% **A 3D volume to be smoothed
% **sigma gaussian smoothing constant, scalar or use vector for anizotropic kernel smoothing
% returns:
% ++A smoothed volume
%*-----------------------------------------------------------------------*
%|                                                                       |
%|  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 = imgaussfilt3_conv(X, filter_size)
%% faster equivalent to the imgaussfilt3 in matlab
shape_0 = {[], 1,1};
for ax = 1:3
if filter_size(min(end,ax)) == 0
continue
end
if ax == 1 || filter_size(min(end,ax-1)) ~= filter_size(min(end,ax))
ker = get_kernel(filter_size(min(end,ax)) , class(X));
end
shape = circshift(shape_0, ax-1);
X = convn(X, reshape(ker,shape{:}), 'same');
end
end
function ker = get_kernel(filter_size, class)
grid = (-ceil(2*filter_size):ceil(2*filter_size)) / filter_size;
ker = exp(-grid.^2);
ker = ker / sum(ker);
if isa(class, 'gpuArray')
ker = gpuArray(single(ker));
end
end