Applications of Differential Geometry of Curves in Roads Design

Abstract

An important role in the roads design is played by plane curves, if the road lies on a plane surface and by space curves, if the road can not be embeded in a plane. This article presents some work done in the two and three dimensional roads design, by using the differential geometry methods. A study of a general case for plane roads is given.

Keywords

• roads design
• spline curves
• frenet frame
• curvature
• torsion
• parabola