Abstract
A modular-geometric approach has been developed. The surface of a complex shape is structured on the basis of the modular principle; the methods of structuring are determined by the problems of the theory of shaping. The modular-geometric approach used to solve these problems consists in approximating a local area of the surface with a contiguous paraboloid. The Riemann-Christoffel tensor is a geometric characteristic for estimating the curvature of a local section. Similarly, the working surfaces of the gas turbine blade and the micro relief of the surface layer are structured. A three-dimensional geometric model of the blade is represented as a superposition of the blade geometry and its micro relief. The geometric characteristics necessary for calculating the 3D model of the blade are determined on the installation of holographic control.
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