Variative modelling of one-dimensional contours according to the given conditions

Abstract

Model of the surface of complex shape is usually formed on the basis of the frame, elements of which are plane and spatial curves. The task of ensuring the functional properties of these surfaces requires the development of methods for the formation of linear elements of the model as a one dimensional contours with the desirable law of geometric characteristics change. The order of fixation and order of smoothness of contour, curvature and torsion values which change along the curve are those characteristics for spatial curves.