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Journal for Geometry and Graphics 11 (2007), No. 2, 179--185
Copyright Heldermann Verlag 2007

C2 and G2 Continuous Spline Curves with Shape Parameters

Ildikó Papp
Dept. of Computer Graphics, University of Debrecen, Egyetem sqr. 1, 4010 Debrecen, Hungary

Miklós Hoffmann
Inst. of Mathematics and Computer Science, Károly Eszterházy College, Leányka str. 4, 3300 Eger, Hungary

Extensions of the classical B-spline curves by shape parameters are discussed in this paper. Using a method of linear blending, first we extend the abilities of GB-splines, originally defined by a uniform shape parameter, to multiple shape parameters. Then two methods, having different types of continuity, are examined in terms of their curvature behavior.

Keywords: B-spline curve, shape parameter, C2 continuity, G2 continuity.

MSC: 68U05

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