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2026-09-17 20:39:08 +09:00 · 2026-08-07 15:56:42 +09:00
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+% IMGAUSSFILT2_FFT apply gaussian smoothing along all three dimensions
+% faster than matlab version 
+%
+%  A = imgaussfilt2_fft(A,sigma)
+%
+% Inputs: 
+%   **A   3D volume to be smoothed 
+%   **sigma   gaussian smoothing constant 
+%   **split   3x1 int vector to split the volume and save memory 
+% *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 A = imgaussfilt2_fft(A,sigma, split)
+    % gaussian blurring along first 2 dimension 
+    import math.*
+    if isscalar(sigma) && sigma == 0
+        return
+    end
+    if nargin < 3
+        split = 1; 
+    end
+    
+    isReal = isreal(A); 
+    
+    Npx = size(A);
+    
+    A = fft2_partial(A, split);
+
+    for dim=1:2
+        if isscalar(sigma)
+            grid = single((-Npx(dim)/2:Npx(dim)/2-1));
+            ker = exp(-grid.^2/ sigma^2)';
+        elseif isvector(sigma)
+            % use user given kernel , assume splitable 1D kernel 
+            ker = zeros(Npx(dim),1,'like', A); 
+            Ns = length(sigma);
+            ker(ceil(Npx(dim)/2)+[-floor(Ns/2):ceil(Ns/2)-1]) = sigma;
+        else
+            error('N-dim kernel not implemented')
+        end
+        ker = ker / sum(ker);
+        ker = fft(ker,[],1);
+
+        ker_shape = ones(1,2);
+        ker_shape(dim) = Npx(dim);
+        B = reshape(ker,ker_shape);
+        if isa(A, 'gpuArray'); B = gpuArray(B); end
+        A = A.*B;
+    end
+    clear B
+    
+    A = ifft2_partial(A, split);
+    
+    if isReal
+        A = real(A);
+    end
+    
+    % Im not sure why, but the output needs to be fftshifted
+    A = fftshift_2D(A);
+        
+end