Chorna L. Polycoordinate vectorial-parametrical curves and surfaces in geometric simulation analysis

The thesis is dedicated to application of a method of polycoordinate vectorial parametrical conversions for simulation analysis of curves and surfaces. These methods are founded on polyfabric conversions, polycoordinate B-splines with involvement of polynomials in view of a special weighting coefficient. The coordinate reference lines and plant of probing are presented in a parametrical aspect. Probings properties of alternatives of optimization functionals are conducted in view of miscellaneous weighting coefficients. Their effect on reference dots of convertible plant is established experimentally. Is probed polycoordinate vectorial parametrical conversions of curves on a plane, parametrical cylindrical screw space curves, arbitrary parametrical space curves.