Abstract <p>When studying the internal structure of objects consisting of several dissimilar parts by computed tomography, there often arises a necessity of using radiations of different types, interacting with matter in different ways. Examples of such are synchrotron radiation and thermal neutrons. In this case, a method for joint analysis of data obtained under different conditions should be developed. A method for superposition of three-dimensional data arrays based on determining the coordinates of four reference points and an affine transformation of the coordinate system is proposed. Examples of combining results of studying cultural heritage objects using neutron and synchrotron tomography are presented.</p>