Planar G~2 transition curves composed of cubic Bezier spiral segments

摘要

In curve and surface design it is often desirable to have a planar transition curve, composed of at most two spiral segments, between two circles. The purpose may be practical, e.g., in highway design, or aesthetic. Cubic Bezier curves are commonly used in curve and surface design because they are of low degree, are easily evaluated, and allow infection points. This paper generalizes earlier results on planar cubic Bezier spiral segments which were proposed as transition curve elements, and examines techniques for curve design using the new results.