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

Authors:
Miklós Hoffmann;Yajuan Li;Guozhao Wang
Affiliations:
Institute of Mathematics and Computer Science, Károly Eszterházy University, H-3300 Eger, Hungary;Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, Hangzhou 310027, China;Institute of Computer Graphics and Image Processing, Department of Mathematics, Zhejiang University, Hangzhou 310027, China
Venue:
Computer Aided Geometric Design
Year:
2006

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Abstract

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 @a@?(0,@p] about what the only fact we know is that @a-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.