The uniqueness of Bézier control points

Computer Aided Geometric Design

Volumn 14, Issue 9, 1997, Pages 877-879

  Berry, Thomas G ^a   Patterson, Richard R ^b  

^a UNIVERSIDAD SIMÓN BOLÍVAR   (Venezuela)

^b INDIANA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTER GRAPHICS; GRAPH THEORY; MATHEMATICAL TRANSFORMATIONS;

BEZIER CONTROL POINT; PARAMETERIZATION; PROJECTIVE TRANSFORMATION;

COMPUTER AIDED DESIGN;

EID: 0031372066     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8396(97)00016-2     Document Type: Article

References (8)

1. Abhyankar, S.S. and Bajaj, C.L. (1989), Automatic parameterization of rational curves and surfaces IV: Algebraic space curves, ACM Transactions on Graphics 8, 325-334.
2. Cox, D., Little, J. and O'Shea, D. (1992), Ideals, Varieties, and Algorithms, Springer, New York.
3. Farin, G. and Worsey, A. (1991), Reparametrization and degree elevation for rational Bézier curves, in: Farin, G., ed., NURBS for Curve and Surface Design, SIAM, Philadelphia.
4. Garrity, T. and Warren, J. (1989), On computing the intersection of a pair of algebraic surfaces, Computer Aided Geometric Design 6, 137-153.
5. Goldman, R.N., Sederberg, T.W. and Anderson, D.C. (1984), Vector elimination: a technique for the implicitization, inversion, and intersection of planar parametric rational polynomial curves, Computer Aided Geometric Design 1, 327-356.
6. Patterson, R. (1985), Projective transformations of the parameter of a Bernstein-Bézier curve, ACM Transactions on Graphics 4, 276-290.
7. Sederberg, T.W. (1986), Improperly parametrized rational curves, Computer Aided Geometric Design 3, 67-75.
8. Walker, R. (1950), Algebraic Curves, Springer, New York.