Paths of C-Bezier and C-B-spline curves

摘要

C-Bezier and C-B-spline curves, as the trigonometric extensions of cubic uniform spline curves are well-known in geometric modeling. These curves depend on a shape parameter alpha is an element of (0, pi] about what the only fact we know is that alpha -> 0 yields the cubic polynomial curves. The geometric effect of the alteration of this parameter is discussed in this paper by the help of relative parametrization and linear approximation. (c) 2006 Elsevier B.V. All rights reserved.