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2026-09-17 19:39:08 +09:00 · 2026-08-07 15:56:42 +09:00
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+% IMSHIFT_FFT_AX  will apply subpixel shift that can be different for each 
+% frame along one dimension only 
+% If apply_fft == false, then images will be assumed to be in fourier space 
+%
+% Inputs:
+%   **img - inputs ndim array to be shifted along ax-th dimension
+%   **ax  - axis along which the array will be shifted 
+%   **shift - Nx1 vector of shifts, positive direction is up
+%   **apply_fft = false - if the img is already after fft, default is false
+% *returns*: 
+%   ++img - shifted image  / 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 img = imshift_fft_ax(img, shift, ax, apply_fft)
+
+
+    if nargin < 4
+        apply_fft = true;
+    end
+    if all(shift == 0)
+        return
+    end
+    
+    isReal = isreal(img); 
+    
+    Npix = size(img);
+    
+    if ndims(img) == 3
+        Np = [1,1,Npix(3)];
+    else
+        Np = Npix;
+        Np(ax) = 1; 
+    end
+
+    Ng = ones(1,3);
+    if ax > ndims(img)
+        Npix(ax) = 1; 
+    end
+    
+    Ng(ax) = Npix(ax);
+
+    
+    
+    
+    if isscalar(shift)
+         shift = shift .* ones(Np);
+    end
+    
+    grid = ifftshift(-fix(Npix(ax)/2):ceil(Npix(ax)/2)-1)/Npix(ax);
+      
+    X = bsxfun(@times, reshape(shift,Np), reshape(grid,Ng));
+    X =  exp((-2i*pi)*X);
+    
+    
+    if apply_fft
+        img = math.fft_partial(img, ax, 1+mod(ax, ndims(img)) );
+    end
+        
+    img = bsxfun(@times, img,X);
+   
+    if apply_fft
+        img = math.ifft_partial(img, ax, 1+mod(ax, ndims(img)) );
+    end
+        
+    if isReal
+        img = real(img);
+    end
+
+end
+