The Construction of Polynomial Spiral Segment Using Cubic Ball Basis Functions

B-splines, Bezier, Ball curves and NURBS (non-uniform rational B-splines) are commonly used in CADand CAGD applications. Unfortunately their fairness is not guaranteed. Spiral segments help us in designingimproved form of curves called fair curves. Such fair curves are useful in sophisticated applications such asdesign of routes of high ways and railways and mobile robot trajectories. In this paper we have developed thepolynomial cubic Ball spiral segment with degree of freedom. The effect of shape parameters is also observed.In the end results are represented in graphical form.