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70 lines
3.1 KiB
Matlab
70 lines
3.1 KiB
Matlab
% INTERPOLATEFT Computes 2D interpolated image using Fourier transform, i.e. dirichlet
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% interpolation. Computes the FT and then adjusts the size by zero padding
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% or cropping then it computes the IFT. A real valued input may have
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% residual imaginary components, which is given by numerical precision of
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% the FT and IFT.
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%
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% imout = interpolateFT(im,outsize,ax)
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%
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% Inputs:
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% **im - Input complex array
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% **outsize - Output size of array [N pixels]
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% **ax - index of axis along which interpolation is done
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%
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% *returns*:
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% ++imout - Output complex image
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%
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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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% proper use and the correctness of the results.
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function [ imout ] = interpolateFT(im,outsize)
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import math.fftshift_2D
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import math.ifftshift_2D
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import utils.crop_pad
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Nout = outsize;
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Nin = size(im);
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imFT = fftshift_2D(fft2(im));
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imout = crop_pad(imFT, outsize);
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imout = ifft2(ifftshift_2D(imout))*(Nout(1)*Nout(2)/(Nin(1)*Nin(2)));
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