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fold_slice/tomo/+nonrigid/nonrigid_registration.m
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2026-08-07 15:56:42 +09:00

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% nonrigid_registration - recovered DVF for given full reconstruction and
% subreconstructions using optical flow method
%
%[shift_3D_total, vol_err, img_deform] = nonrigid_registration(volume_deform, volume_reference, weight, par, smooth, Niter, shift_3D_total)
%
% Inputs:
% **volume_deform low quality deformed volume to be matched with reference
% **volume_reference reference volume used for alignment
% **weight importance weights for the 3D volumes
% **par tomography parameter structure
% **smooth constant to smooth the recovered DVF
% **Niter number of iterations for the optical flow method
% **shift_3D_total initial deformation field (zeros)
% Outputs:
% ++shift_3D_all recovered deformation for given full reconstruction and subreconstructions
% ++vol_err error between volume and subvolumes
%*-----------------------------------------------------------------------*
%|                                                                       |
%|  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) 2018 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 [shift_3D_total, vol_err] = nonrigid_registration(volume_deform, volume_reference, weight, par, smooth, Niter, shift_3D_total)
% estimate deformation fields to match two 3D volumes
Npix = size(volume_deform);
if ~exist('shift_3D_total', 'var')
for ii = 1:3
shift_3D_total{ii}= gpuArray.zeros( ceil(Npix/par.downsample_DVF) , 'single');
end
end
img_deform = utils.interp3_gpu(volume_deform, shift_3D_total{:});
for iter = 1:Niter
% core : estimate of the deformation field
[shift_3D,vol_err(iter)] = nonrigid.find_shift_3D_nonrigid(img_deform,volume_reference, weight, par.downsample_DVF, smooth, par.regular);
for ii = 1:3
shift_3D_total{ii} = shift_3D_total{ii}+ par.relax_pos_corr*shift_3D{ii};
end
% apply inverse deformations on the deformated object
img_deform = utils.interp3_gpu(volume_deform, -shift_3D_total{1}, -shift_3D_total{2}, -shift_3D_total{3} );
if iter > 1 && vol_err(end) > vol_err(end-1)
break
end
end
end