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69 lines
3.1 KiB
Matlab
69 lines
3.1 KiB
Matlab
% GET_IMG_INT_2D use FFT2 to integate the image along both axis -> can be used for phase
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% unwrapping
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%
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% integral = get_img_int_2D(dX,dY)
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%
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% Inputs:
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% **dX - horizontal phase gradient
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% **dY - vertical phase gradient
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% *returns*
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% ++integral - 2D stack scalar rotation-free arrays that has vertical and horizontal gradients close to dX, dY
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%*-----------------------------------------------------------------------*
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%| |
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%| Except where otherwise noted, this work is licensed under a |
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%| Creative Commons Attribution-NonCommercial-ShareAlike 4.0 |
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%| International (CC BY-NC-SA 4.0) license. |
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%| |
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%| Copyright (c) 2017 by Paul Scherrer Institute (http://www.psi.ch) |
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%| |
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%| Author: CXS group, PSI |
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%*-----------------------------------------------------------------------*
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% You may use this code with the following provisions:
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%
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% If the code is fully or partially redistributed, or rewritten in another
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% computing language this notice should be included in the redistribution.
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%
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% If this code, or subfunctions or parts of it, is used for research in a
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% publication or if it is fully or partially rewritten for another
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% computing language the authors and institution should be acknowledged
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% in written form in the publication: “Data processing was carried out
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% using the “cSAXS matlab package” developed by the CXS group,
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% Paul Scherrer Institut, Switzerland.”
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% Variations on the latter text can be incorporated upon discussion with
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% the CXS group if needed to more specifically reflect the use of the package
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% for the published work.
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%
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% A publication that focuses on describing features, or parameters, that
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% are already existing in the code should be first discussed with the
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% authors.
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%
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% This code and subroutines are part of a continuous development, they
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% are provided “as they are” without guarantees or liability on part
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% of PSI or the authors. It is the user responsibility to ensure its
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%
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function integral = get_img_int_2D(dX,dY)
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Np = size(dX);
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fD = math.fft2_partial(dX + 1i*dY);
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xgrid = ifftshift(-fix(Np(2)/2):ceil(Np(2)/2)-1)/Np(2);
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ygrid = ifftshift(-fix(Np(1)/2):ceil(Np(1)/2)-1)/Np(1);
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% not sure why, but it seems to need also shift by 1 pixels to make it
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% consistent with gradient
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X = exp((2i*pi)*(xgrid+ygrid'));
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% apply integration filter
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X = X./ (2i*pi*(xgrid+1i*ygrid'));
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X(1,1) = 0;
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integral = bsxfun(@times, fD,X);
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integral = math.ifft2_partial(integral);
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end
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