Abstract
Rational B-splines provide a single precise mathematical form capable of representing the common analytical shapes—lines, planes, conic curves including circles, free-form curves, quadric, and sculptured surfaces—that are used in computer graphics and computer-aided design. Currently, NonUniform Rational B-Spline (NURBS) curves and surfaces are the standard for curve and surface description in computer graphics. (NURBS are incorporated into most of the current geometric modeling systems. Rational B-spline basis functions and curves are a generalization of nonrational B-spline basis functions and curves. Thus, they carry forward nearly all the analytic and geometric characteristics of their nonrational B-spline counterparts. Rational B-spline curves are used to represent all the conic sections, and they provide a single mathematical description capable of blending the conic sections into free-form curves.
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
