MATHEMATICAL MODELING AND OPTIMIZATION IN PROBLEMS OF DESIGNING HIGHWAYS WITH BOX SURFACES
The problems of creating mathematical and software for a new method of spatial tracing of highways based on box surfaces formed by the movement of an open polyhedron are considered. At the same time, the formed mathematical surfaces are a kind of splines - composite Bezier surfaces of the fifth degree, which are present in developed systems of geometric design. Recommendations on tracing highways by means of computer aided design are presented, which allow excluding dips in spatial visibility, to ensure visual clarity and smoothness of the designed highways.