On a relationship between the moving line and moving conic coefficient matrices

Computer Aided Geometric Design

Volumn 16, Issue 6, 1999, Pages 517-527

  Zhang, Ming ^a   Chionh, Eng Wee ^b   Goldman, Ronald N ^a  

^a Rice University   (United States)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTATIONAL METHODS; COMPUTER AIDED DESIGN; CURVE FITTING; POLES AND ZEROS; POLYNOMIALS;

IMPLICITIZATION; MOVING CONIC; MOVING LINE;

MATRIX ALGEBRA;

EID: 0033165387     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8396(99)00014-X     Document Type: Article

References (9)

1. Chionh, E.W., Zhang, M. and Goldman, R.N. (1998), Implicitization matrices in the style of Sylvester with the order of Bezout, submitted for publication.
2. Cox, D., Sederberg, T.W. and Chen, F. (1998), The moving line ideal basis for planar rational curves, Computer Aided Geometric Design 15, 803-827.
3. Goldman, R.N., Sederberg, T. and Anderson, D. (1984), Vector elimination: A technique for the implicitization, inversion, and intersection of planar parametric rational polynomial curves, Computer Aided Geometric Design 1, 327-356.
4. Macaulay, F.S. (1916), The Algebraic Theory of Modular Systems, Cambridge University Press.
5. Manocha, D. and Canny, J.F. (1992), Algorithms for implicitizing rational parametric surfaces, Computer Aided Geometric Design 9, 25-50.
6. De Montaudouin, Y. and Tiller, W. (1984), The Cayley method in computer aided geometric design, Computer Aided Geometric Design 1, 309-326.
7. Sederberg, T.W., Saito, T., Qi, D. and Klimaszewski, K. (1994), Curve implicitization using moving lines, Computer Aided Geometric Design 11, 687-706.
8. Sederberg, T.W. and Chen, F. (1995), Implicitization using moving curves and surfaces, in: Proc. SIGGRAPH, 301-308.
9. Sederberg, T.W., Goldman, R. N. and Du, H. (1997), Implicitizing rational curves by the method of moving algebraic curves, J. Symbolic Comp. 23, 153-175.