Математичні моделі на основі інтерлайеризації

Abstract

This paper considers mathematical models for the approximation of functions of three variables, where information is known only on a system of layers bounded by planes parallel to the coordinate axes. The structure of interlayerization operators, which allow for the construction of mathematical models of threedimensional objects using available information about them on layers, is investigated. The proposed method can be applied in problems of tomography, geophysics, 3D modeling, and in methods for solving boundary value problems in three dimensional domains