Title :
Shape control of cubic B-spline and NURBS curves by knot modifications
Author :
Hoffmann, Miklos ; Juhász, Imre
Author_Institution :
Inst. of Math. & Comput. Sci., Karoly Eszterhazy Coll., Eger, Hungary
Abstract :
Presents shape control methods for cubic B-spline and NURBS curves by the modification of their knot values and by the simultaneous modification of weights and knots. Theoretical aspects of knot modification are also discussed, concerning the paths of points on a curve and the existence of an envelope for the family of curves resulting from a knot modification for curves of degree k
Keywords :
computational geometry; shape control; splines (mathematics); NURBS curves; cubic B-spline curves; curve point paths; envelope; knot modification; shape control methods; weight modification; Books; Computational geometry; Computer science; Design automation; Educational institutions; Mathematics; Shape control; Spline; Surface reconstruction; Surface topography;
Conference_Titel :
Information Visualisation, 2001. Proceedings. Fifth International Conference on
Conference_Location :
London
Print_ISBN :
0-7695-1195-3
DOI :
10.1109/IV.2001.942040
