An algorithm of methods selection for processing multidimensional heterogeneous data based on the general properties of the data used and the methods included in the review is proposed in this paper. The algorithm is implemented in the form of software and a group of interpolation algorithms is compared by the example of the problem of constructing a 3D human face model for a person’s recognition system. It is shown that the proposed algorithm for selecting data processing methods works successfully for a group of data interpolation methods. © 2019, Pleiades Publishing, Ltd.