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+utils/imdeform_affine_fft.m

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+% AFFINE_DEFORM_FFT apply accurate affine deformation on image
+% use only for minor corrections !!
+%
+% img = affine_deform_fft(img, affine_matrix, shift)
+%
+% Inputs:  
+%     **img             - 2D or stack of 2D images 
+%     **affine_matrix   - 2x2xN affine matrix 
+%     **shift           - Nx2 vector of shifts to be applied 
+% *returns*: 
+%     ++img             - deformed image 
+
+
+%*-----------------------------------------------------------------------*
+%|                                                                       |
+%|  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.                             |
+%|                                                                       |f
+%|  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 = imdeform_affine_fft(img, affine_matrix, shift)
+    import utils.*
+    if nargin < 3
+        shift = [];
+    end
+    if ~isempty(shift)
+        img = imshift_fft(img, shift); 
+    end
+    if ~isempty(affine_matrix)
+        if size(affine_matrix,3)>1
+            for i=1:size(affine_matrix,3)
+                [scale, asymmetry, rotation, shear]  = math.decompose_affine_matrix(double(gather(affine_matrix(:,:,i))));
+                if any(abs(scale(:)-1) > 1e-5)
+                    img(:,:,i) = imrescale_frft(img(:,:,i), scale, scale.*asymmetry); 
+                end
+                if any(abs(shear(:)) > 1e-5)
+                    img(:,:,i) = imshear_fft(img(:,:,i),shear,1); 
+                end
+                if any(abs(rotation(:))> 1e-5)
+                    img(:,:,i) = imrotate_ax_fft(img(:,:,i),rotation,3); 
+                end
+            end
+            
+        else
+
+            [scale, asymmetry, rotation, shear]  = math.decompose_affine_matrix(double(gather(affine_matrix)));
+            if any(abs(scale(:)-1) > 1e-5)
+                img = imrescale_frft(img, scale, scale.*asymmetry); 
+            end
+            if any(abs(shear(:)) > 1e-5)
+                img = imshear_fft(img,shear,1); 
+            end
+            if any(abs(rotation(:))> 1e-5)
+                img = imrotate_ax_fft(img,rotation,3); 
+            end
+        end
+    end
+end