Approximating NURBS curves by arc splines

Proceedings - Geometric Modeling and Processing 2000: Theory and Applications

Volumn , Issue , 2000, Pages 175-183

  Yang, Xunnian ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CURVE FITTING; GEOMETRY;

NURBS CURVES; SMOOTH CURVES;

INTERPOLATION;

EID: 84969514581     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/GMAP.2000.838249     Document Type: Conference Paper

References (16)

1. K. M. Bolton, "Biarc curves", Computer Aided Design, 1975, 7, pp. 89-92.
2. M. Yeung, and D. J. Walton, "Curve fitting with arc splines for NC tool path generation", Computer Aided Design, 1994, 26(11), pp. 845-849.
3. G. Farin, Curves and Surfaces for Computer Aided Geometric Design, a practical guide.2. New York: Academic Press, 1990.
4. L. Piegl, "On NURBS: A survey", IEEE CG&A, 1991, 11(1), pp. 55-71.
5. D. S. Meek, and D. J. Walton, "Approximating quadratic NURBS curves by arc splines", Computer Aided Design, 1993, 25(6), pp. 371-376.
6. D. S. Meek, and D. J. Walton, "Approximating of quadratic Bezier curves by arc splines", Journal of Computational and Applied Mathematics, 1994, 54, pp. 107-120.
7. C.L. Ong, S. Wong, H.T. Loh, and X.G. Hong, "An optimization approach for biarc curve fitting of B-spline curves", Computer Aided Design, 1996, 28(12) pp. 951-959.
8. H. Qiu, K. Cheng, and Y. Li, "Optimal circular arc interpolation for NC tool path generation in curve contour manufacturing", Computer Aided Design, 1997, 29(11), pp. 751-760.
9. 1 arc spline approximation of quadratic Bezier curves", Computer Aided Design, 1998, 30(8), pp. 615-620.
10. S.-H. Chuang, and C. Z. Kao, "One-sided arc approximation of B-spline curves for interference-free offsetting", Computer Aided Design, 1999, 31, pp. 111-118.
11. K. Marciniak, and B. Putz, "Approximation of spirals by piecewise curves of fewest circular arc segments", Computer Aided Design, 1984, 16(2), pp. 87-90.
12. D. S. Meek, and D. J. Walton, "Approximating smooth planar curves by arc splines", Journal of Computational and Applied Mathematics, 1995, 59, pp. 221-231.
13. B. Q. Su, and D. Y. Liu, Computational Geometry, Academic Press, USA(1989).
14. W. Boehm, "Inserting new knots into B-spline curves", Computer Aided Design, 1980, 12(4), pp. 199-201.
15. W. Boehm, "Generation of the Bezier points of B-spline curves and surfaces", Computer Aided Design, 1981, 13, pp. 365-366.
16. J. Wallner, "Generalized multiresolution analysis for arc splines", in: Dahlen, M., Lyche, T. And Schumaker, L. L., eds., Mathematical Methods for Curves and Surfaces II, Vanderbilt University Press, pp. 537-544.