Accurate parametrization of conics by NURBS

IEEE Computer Graphics and Applications

Volumn 16, Issue 6, 1996, Pages 64-71

  Blanc, Carole ^a   Schlick, Christophe ^a  

^a UNIVERSITÉ DE BORDEAUX   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CALCULATIONS; COMPUTATIONAL GEOMETRY; COMPUTATIONAL METHODS; COMPUTER SOFTWARE; FUNCTIONS; HEURISTIC METHODS; MATHEMATICAL MODELS; OPTIMIZATION; POLYNOMIALS; SPHERES;

CIRCLES; CIRCULAR ARC; CONICS; NONUNIFORM RATIONAL B SPLINE; PARAMETRIZATION; RATIONAL LINEAR FUNCTION; SQUARE; TRIANGLE; TRIGONOMETRY; ZIGZAG REPARAMETRIZATION;

COMPUTER GRAPHICS;

EID: 0030286455     PISSN: 02721716     EISSN: None     Source Type: Journal    
DOI: 10.1109/38.544074     Document Type: Review

References (13)

1. L. Piegl and W. Tiller, The Book of NURBS, Springer Verlag, New York, 1995.
2. G. Farin, NURB Curves and Surfaces, A.K. Peters, Boston, 1995.
3. A. Forrest, Curves and Surfaces for Computer-Aided Design, doctoral dissertation, Cambridge University, Cambridge, U.K., 1968.
4. K. Versprille, Computer Aided Design Applications of the Rational B-Spline Approximation Form, doctoral dissertation, University of Syracuse, New York, 1975.
5. G. Farin, "From Conics to NURBS: A Tutorial and Survey," IEEE Computer Graphics & Applications, Vol. 12, No. 5, 1989, pp. 78-86.
6. L. Piegl and W. Tiller, "A Menagerie of Rational B-Spline Circles," IEEE CG&A, Vol. 9, No. 5, Sept. 1989, pp. 48-56.
7. G. Farin, Curves and Surfaces for Computer Aided Geometric Design, Academic Press, 1990.
8. L. Piegl, "Infinite Control Points: A Method for Representing Surfaces of Revolution Using Boundary Data," IEEE CG&A, Vol. 7, No. 3, May 1989, pp. 45-55.
9. W. Tiller, "Rational B-Splines for Curve and Surface Representation," IEEE CG&A, Vol. 3, No. 6, Sept. 1983, pp. 61-69.
10. C. Blanc, Modélisation et Déformation des Surfaces pour la Synthèse d'Images, doctoral dissertation (in French), Université de Bordeaux, Bordeaux, France, 1994.
11. E. Lee and M. Lucian, "Moebius Reparametrization of Rational B-Splines," Computer Aided Geometric Design, Vol. 8, 1991, pp. 213-238.
12. R. Farouki and T. Sakkalis, "Real Rational Curves are not Unit Speed," Computer Aided Geometric Design, Vol. 8, No. 2, 1991, pp. 151-158.
13. R. Bartels, J. Beatty, and B. Barsky, An Introduction to Splines for Computer Graphics and Geometric Modeling, Morgan Kaufmann, San Francisco, 1987.