Implicitization of rational parametric surfaces

Journal of Symbolic Computation

Volumn 21, Issue 3, 1996, Pages 329-336

  Fix, George ^a   Hsu, Chih Ping ^a   Luo, Tie ^a  

^a UNIVERSITY OF TEXAS AT ARLINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030103126     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsco.1996.0015     Document Type: Article

References (11)

1. Buchberger, B. (1985). Groebner basis: an algorithmic method in polynomial ideal theory. Multidimensional Systems Theory, edited by N. K. Bose, D. Reidel Publishing Company, Dordrecht. 184-232.
2. Cox, D., Little, J., O'Shea, D. (1992). Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra. Springer-Verlag New York, Inc.
3. Hoffmann, C.M. (1989). Geometric and Solid Modeling: An Introduction. Morgan Kaufmann Publish, Inc. San Mateo, California.
4. Hoffmann, C.M. (1993). Implicit Curves and Surfaces in CAGD, IEEE Computer Graphics & Applications 13, 79-88.
5. Kalkbrener, M. (1990). Implicitization of rational parametric curves and Surfaces. Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. Lecture Notes in Computer Science 508, edited by S. Sakata Springer-Verlag, New York. 249-259.
6. Kapur, D. (1992). Elimination Methods: An Introduction. Symbolic and Numerical Computation for Artificial Intelligence, edited by B. R. Donal et al. Academic Press, San Diego, CA. 45-87.
7. Manocha, D., Canny, J. (1992a). Implicit representation of rational parametric surfaces. J. Symbolic Computation 13, 485-510.
8. Manocha, D., Canny, J. (1992b). Algorithm for implicitizing rational parametric surfaces. CAGD. 9, 25-50.
9. Mayr, E., Meyer, A. (1982). The complexity of the word problem for commutative semigroups and polynomial ideals. Adv. Math. 46, 305-329.
10. Sederberg, T.W., Arnon, D.S. (1984). Implicit Equation for a Parametric Surface by Groebner Basis, Proceedings of the 1984 Macsyma user's Conference. General Electric. Schenectady, New York. 431-435.
11. Sederberg, T.W., Anderson, D.C., Goldman, R.N. (1984). Implicit representation of parametric curves and surfaces, Computer Vision, Graphics, and Image Processing 28, 72-84.