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+utils/get_rotation_matrix_3D.m
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% GET_ROTATION_MATRIX_3D generate 3D rotation matrix of size 3x3xn
%
% rot_3D = get_rotation_matrix_3D(chi, psi, theta)
%
% Inputs:
% chi, psi, theta - rotation angles in degrees , vector or scalar
%*-----------------------------------------------------------------------*
%|                                                                       |
%|  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 processindg was carried out
% usindg 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 rot_3D = get_rotation_matrix_3D(chi, psi, theta)
if numel(chi) ~= numel(psi) || numel(psi) ~= numel(theta)
error('Input sizes are not indentical')
end
N = numel(chi);
rot_3D = zeros(3,3,N);
for ii = 1:N
Rx = [ 1, 0, 0 ;
0, cosd(chi(ii)), -sind(chi(ii));
0, sind(chi(ii)), cosd(chi(ii))];
Ry = [ cosd(psi(ii)), 0, sind(psi(ii)) ;
0, 1, 0;
-sind(psi(ii)), 0, cosd(psi(ii))];
Rz = [ cosd(theta(ii)), -sind(theta(ii)), 0 ;
sind(theta(ii)), cosd(theta(ii)), 0;
0, 0, 1];
rot_3D(:,:,ii) = Rx*Ry*Rz;
end
end