The following article illustrates the methods of geometric modelling of functional curves; the quality of which determines the design characteristics of an industrial product. The problem with the low quality of existing methods in geometric modelling of functional curves is identified. To solve this problem, the article proposes the use of the features of the C3D FairCurveModeler geometric modelling kernel developed for high-quality curve modelling, according to smoothness criteria (class F curves). The features of the C3D FairCurveModeler geometric modelling kernel are based on engineering and computational geometry, as well as the NURBS theory. The C3D FairCurveModeler has a great potential for industrial modelling applications, as it can improve a product's characteristics by refining its shape quality. The C3D FairCurveModeler release applications for CAD and Microsoft Excel platforms; the WebFairCurveModeler cloud product developed based on libraries of the C3D geometric modelling kernel are offered to accelerate the implementation of the C3D FairCurveModeler features in the engineering practice. Specialized CAD applications, as well as applications based on the C3D FairCurveModeler, are presented for modelling of a plough working surface, an aerodynamic profile, gas turbine engine, steam turbine blade profiles, flat cam profile, a road and aesthetic curves.

Keywords: C3D Labs, C3D FairCurveModeler, Fair Curves, Smooth Curves, Class F Curves