G1 arc spline approximation of quadratic Bézier curves

CAD Computer Aided Design

Volumn 30, Issue 8, 1998, Pages 615-620

  Ahn, Young Joon ^a,b   Kim, Hong Oh ^a,c,d   Lee, Kyoung Yong ^a,e  

^a Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

^b Yonsei University   (South Korea)

^c KAIST ^*  (South Korea)

^d UNIVERSITY OF WISCONSIN   (United States)

^e Korea University   (South Korea)

Author keywords

Arc splines; CNC machine; Quadratic B zier curves

Indexed keywords

EID: 0001756050     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-4485(98)00016-5     Document Type: Article

References (12)

1. 1 arc splines. Computer Aided Design, 1992, 24, 301-306.
2. Meek, D. S. and Walton, D. J., Approximating quadratic NURBS curves by arc splines. Computer Aided Design, 1993, 25, 371-376.
3. Meek, D. S. and Walton, D. J., Approximating smooth planar curves by arc splines. Journal of Computational and Applied Mathematics, 1995, 59, 221-231.
4. Ong, C. J., Wong, Y. S., Loh, H. T. and Hong, X. G., An optimization approach for biarc curve fitting of B-spline curves. Computer Aided Design, 1996, 28, 951-959.
5. B Parkinson, D. and Moreton, D. N., Optimal biarc-curve fitting. Computer Aided Design, 1991, 23, 411-419.
6. Walton, D. J. and Meek, D. S., Approximating of quadratic Bézier curves by arc splines. Journal of Computational and Applied Mathematics, 1994, 54, 107-120.
7. Sapidis, N. and Frey, W. H., Controlling the curvature of a quadratic Bézier curve. Computer Aided Geometric Design, 1992, 9, 85-91.
8. Farin, G., Curves and Surfaces for Computer Aided Geometric Design. Academic Press, San Diego, CA, 1993.
9. Bolton, K. M., Biarc curves. Computer Aided Design. 1975, 7, 89-92.
10. Nutbourne, A. W. and Martin, R. R., Differential Geometry Applied to Curve and Surface Design, Vol. I: Foundations. Ellis Horwood, Chichester, 1988.
11. Sabin, M. A., The use of cicular arcs to form curves interpolated through empirical data points. Rep. VTO/MS/164, British Aircraft Corporation, Weybridge, 1976.
12. Su, B. Q. and Liu, D. Y., Computational Geometry - Curves and Surfaces Modeling. Academic Press, San Diego, CA, 1989.