Abstract. Traditional tomographic imaging of industrial and medical objects is usually related with difficulties in multi data collecting and large computational burden. On the other hand, limited data do not allow to get acquire for quality image. The article introduces new virtual deformation technology, giving the opportunity to provide tomographic imaging of the objects given limited input projection data in the case when a source object image is available. This technique recently obtained the recognition in medical imaging procedures. The article gives start to the application of this technique for industrial x-ray tomography demonstrating its main peculiarities using elastic matching deformation of simulated input data.