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
ipapp@inf.unideb.hu
Miklós Hoffmann
Inst. of Mathematics and Computer Science, Károly Eszterházy College, Leányka str. 4, 3300 Eger, Hungary
hofi@ektf.hu
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
[ Fulltext-pdf (113 KB)] for subscribers only.