C2 and G2 Continuous Spline Curves with Shape Parameters
Journal for geometry and graphics, Tome 11 (2007) no. 2, pp. 179-185
Cet article a éte moissonné depuis la source Heldermann Verlag
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.
Classification :
68U05
Mots-clés : B-spline curve, shape parameter, C2 continuity, G2 continuity
Mots-clés : B-spline curve, shape parameter, C2 continuity, G2 continuity
@article{JGG_2007_11_2_JGG_2007_11_2_a3,
author = {I. Papp and M. Hoffmann },
title = {C\protect\textsuperscript{2} and {G\protect\textsuperscript{2}} {Continuous} {Spline} {Curves} with {Shape} {Parameters}},
journal = {Journal for geometry and graphics},
pages = {179--185},
year = {2007},
volume = {11},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JGG_2007_11_2_JGG_2007_11_2_a3/}
}
I. Papp; M. Hoffmann . C2 and G2 Continuous Spline Curves with Shape Parameters. Journal for geometry and graphics, Tome 11 (2007) no. 2, pp. 179-185. http://geodesic.mathdoc.fr/item/JGG_2007_11_2_JGG_2007_11_2_a3/