Non-uniform Rational B-splines Assignment Help

Assignment Help: >> Geometrical Modeling Of Curves - Non-uniform Rational B-splines

Non-uniform Rational B-splines (NURBS):

Tracing down the roots of NURBS as utilized in CAD and graphics is not easy. Though, if we consider the two major ingredients on NURBS and rational

B-splines then we may begin an overview with Coons. Coons recommended the use of rational polynomials to represent conic sections precisely. Further Forrest pursued the ideas and gave a rigorous treatment of rational conics and cubics. De Boor ,Schoenberg, Cox, and Masfield. Riesenfeld have introduced B-spline curves & surfaces into CAD/CAM and graphics. Following Riesenfeld, Versrille extended B-splines to rational B-splines. His work 1975 was the first written account of NURBS. By the late year of 1970s, the CAD/CAM industry identified the need for a modeler that had a common internal method of representing and storing different geometric entities. At about the same time, three major groups looked at the possibility of utilizing NURBS.

Analytic and Geometric Properties Mathematical definitions of NURBS curves
Need of NURBS Standard for the Exchange of Product Model Data
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