An automated curve fairing algorithm for cubic B-spline curves

Journal of Computational and Applied Mathematics

Volumn 102, Issue 1, 1999, Pages 73-85

  Poliakoff, Janet F ^a   Wong, Yew Kee ^a   Thomas, Peter D ^a  

^a NOTTINGHAM TRENT UNIVERSITY   (United Kingdom)

Author keywords

Cubic splines; Curve fairing; Curve fairness indicator; Curve fitting

Indexed keywords

ALGORITHMS; GRAPH THEORY; INTERPOLATION; ITERATIVE METHODS;

CUBIC B-SPLINES; CURVE FAIRING;

CURVE FITTING;

EID: 0033078239     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(98)00209-X     Document Type: Article

References (10)

1. Q. Ding, B.J. Davies, Surface Engineering Geometry for CAD and Manufacture, Ellis Horwood, Chichester, UK, 1987.
2. G. Farin, Curves and Surfaces for Computer Aided Geometric Design 2nd ed., Academic Press, New York, 1990.
3. J. Hoschek, Smoothing of curves and surfaces, Comput. Aided Geom. Des. 2 (1985) 97-105.
4. J.A.P. Kjellander, Smoothing of cubic parametric splines, Comput. Aided Des. 15 (1983) 175-179.
5. K.J. McCallum, J.M. Zhang, Curve-smoothing techniques using B-splines, Comput. J. 29 (1986) 564-569.
6. H. Nowacki, Curve and surface generation and fairing, in: G.W. Zobrist, C. Sabharwal (Eds.), Progress in Computer Graphics vol. 1, Ablex Publishing, Norwood, NJ, 1992, 137-176.
7. J.F. Poliakoff, An improved algorithm for automatic fairing of non-uniform parametric cubic splines, Comput. Aided Des. 28 (1996) 59-66.
8. W. Renz, Interactive smoothing of digitized point data, Comput. Aided Des. 14 (1982) 267-269.
9. N. Sapidis, Towards automatic shape improvement of curves and surfaces for computer graphics and CAD/CAM applications, in: G.W. Zobrist, C. Sabharwal (Eds.), Progress in Computer Graphics, vol. 1, Ablex Publishing, Norwood, NJ, 1992, pp. 216-253.
10. N. Sapidis, G. Farin, Automatic fairing algorithm for B-spline curves, Comput. Aided Des. 22 (1990) 121-129.