Abstract
Methods for modeling the microrelief of surfaces considered in the theory of shaping: flat, round, cylindrical, discrete-defined, etc. differ in their intended purpose. To evaluate the micro geometry of the surface layer of machined parts, which is carried out in order to match the shape of the microrelief of the performance details using known item parameters: All parameters are determined on a specific surface length from 0.1 to 25 mm. The parameters used to estimate the microrelief are one- dimensional. They allow us to represent the microrelief as a surface with numerical marks. A surface with numeric marks is a set of points whose coordinates are set in a three-dimensional Cartesian coordinate system. The law of location of points in space is not defined. A surface with numerical marks as a geometric image does not contain information about changes in geometric characteristics: the curvature in the normal section, the Riemann-Christoffel tensor, etc. which can be used to estimate its shape. The modular-geometric approach eliminates this problem.
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