On the Validity of Implicitization by Moving Quadrics for Rational Surfaces with No Base Points

Journal of Symbolic Computation

Volumn 29, Issue 3, 2000, Pages 419-440

  Cox, David ^a   Goldman, Ronald ^b   Zhang, Ming ^b  

^a AMHERST COLLEGE   (United States)

^b Rice University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0006100972     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsco.1999.0325     Document Type: Article

References (11)

1. Cox D., Little J., O'Shea D. Using Algebraic Geometry. 1998;Springer-Verlag, New York.
2. Cox D., Sederberg T. W., Chen F. The moving line ideal basis of planar rational curves. Comput. Aided Geom. Des. 15:1998;803-827.
3. Dixon A. L. The eliminant of three quantics in two independent variables. Proc. London Math. Soc. 6:1908;49-69, 473-492.
4. Eisenbud D. Commutative Algebra. 1995;Springer-Verlag, New York.
5. Griffiths P., Harris J. Principles of Algebraic Geometry. 1978;John Wiley & Sons, New York.
6. Hartshorne R. Algebraic Geometry. 1977;Springer-Verlag, New York.
7. Manocha D., Canny J. F. Algorithms for implicitizing rational parametric surfaces. Comput. Aided Geom. Des. 9:1992;25-50.
8. Matsumura H. Commutative Ring Theory. 1986;Cambridge University Press, Cambridge.
9. T. W. Sederberg, F. Chen, Proceedings of SIGGRAPH, 1995, 301, 308.
10. Sederberg T. W., Goldman R. N., Du H. Implicitizing rational curves by the method of moving algebraic curves. J. Symb. Comput. 23:1997;153-175.
11. Zhang M., Chionh E. W., Goldman R. N. On a relationship between the moving line and moving conic coefficient matrices. Comput. Aided Geom. Des. 16:1999;517-527.