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2026-09-17 19:39:08 +09:00 · 2026-08-07 15:56:42 +09:00
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+% GET_IMG_INT_1 use FFT to integate the image along selected axis -> can be used for phase
+% unwrapping
+%
+%   integer = get_img_int_1D(grad_array, ax)
+%
+% Inputs:
+%   **grad_array   -  phase gradient
+%   **ax           -  integration axis 
+% *returns*
+%   ++integral - 2D stack scalar arrays that has gradients along "ax" close to "grad_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 
+% 
+
+function integer = get_img_int_1D(grad_array, ax)
+    if nargin < 2
+        ax = 1;
+    end
+    
+    Np = size(grad_array);    
+
+    if ax == 2
+        grad_array = fft(grad_array,[],2);
+        xgrid = ifftshift(-fix(Np(2)/2):ceil(Np(2)/2)-1)/Np(2);
+
+        % not sure why, but it seems to need also shift by 1 pixel to make it
+        % consistent with gradient 
+        X = exp((2i*pi)*xgrid);
+        % integration filter
+        X = X./ (2i*pi*xgrid);
+        X(1) = 0;
+        integer = bsxfun(@times, grad_array,X);
+        integer = ifft(integer,[],2);
+
+    elseif ax == 1
+        grad_array = fft(grad_array,[],1);
+        ygrid = ifftshift(-fix(Np(1)/2):ceil(Np(1)/2)-1)/Np(1);
+
+        % not sure why, but it seems to need also shift by 1 pixel to make it
+        % consistent with gradient 
+        Y = exp((2i*pi)*ygrid');
+        % integration filter
+        Y = Y./(2i*pi*ygrid');
+        Y(1) = 0;
+        integer = bsxfun(@times, grad_array,Y);
+        integer = ifft(integer,[],1);
+    else
+        error('Non implemented dimension')
+    end
+    
+        
+end