% 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