Abstract
A constructive approach is adopted to build B-spline like basis for a rational cubic spline with a most general description. This general description is quite helpful to produce well controlled shape effects as compared to NURBS. This method provides not only a large variety of very interesting shape controls like biased, point, and interval tensions but, as a special case, also recovers the cubic B-spline curve and the rational cubic spline with tension of Gregory and Sarfraz. This method is also a C 2 alternative to the GC 2 or C 1 spline methods like ν-spline of Nielson, β-splines of Barsky, γ-splines of Boehm, and weighted splines. The method for evaluating this rational cubic B-spline curve is suggested by a transformation to Bernstein-Bézier form. Moreover, the Bernstein-Bézier form of the NURBS is also derived through the usage of the basis functions of the method and a comparative study regarding shape characters is made.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
