Mathematical model of resolution of the inverse problem of geometric optics in profilometry of extended internal reflecting surfaces

The article describes a mathematical model for solving the inverse problem of optics in application to measuring the shape of internal extended surfaces of nodes and details of mechanisms and machines used in all fields of economies. The method measuring the shape of such surfaces based on this model will significantly improve the quality of products, increase the reliability and trouble-free of their operation and implement their operation according to their actual technical state. The implementation of the proposed mathematical and technical solutions will give a great economic effect.