Artículo
D'Andrea, C. "Resultants and Moving Surfaces" (2001) Journal of Symbolic Computation. 31(5):585-602
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Abstract:
We prove a conjectured relationship between resultants and the determinants arising in the formulation of the method of moving surfaces for computing the implicit equation of rational surfaces formulated by Sederberg. In addition, we extend the validity of this method to the case of not properly parametrized surfaces without base points. © 2001 Academic Press.
Registro:
| Documento: | Artículo |
| Título: | Resultants and Moving Surfaces |
| Autor: | D'Andrea, C. |
| Filiación: | Departamento de Matemática, F.C.E. y N., Universidad de Buenos Aires, (1428) Buenos Aires, Argentina |
| Año: | 2001 |
| Volumen: | 31 |
| Número: | 5 |
| Página de inicio: | 585 |
| Página de fin: | 602 |
| DOI: | http://dx.doi.org/10.1006/jsco.2001.0443 |
| Título revista: | Journal of Symbolic Computation |
| Título revista abreviado: | J. Symb. Comput. |
| ISSN: | 07477171 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_07477171_v31_n5_p585_DAndrea |
Referencias:
- Chardin, M., The resultant via a Koszul complex (1993) Computational Algebraic Geometry, pp. 29-39. , F. Eyssette, & A. Galligo. Boston: Birkhäuser
- Cox, D., Goldman, R., Zhang, M., On the validity of implicitization by moving quadrics for rational surfaces with no base points (2000) J. Symb. Comput., 29, pp. 419-440
- Cox, D., Little, J., O'Shea, D., (1998) Using Algebraic Geometry, , New York: Springer-Verlag
- Demazure, M., Notes Informelles de Calcul Formel
- Dixon, A.L., The eliminant of three quantics in two independent variables (1908) Proc. London Math. Soc., 6, pp. 49-69
- Gelfand, I., Kapranov, M., Zelevinsky, A., (1994) Discriminants, Resultants and Multidimensional Determinants, , Boston: Birkhäuser
- Horn, R., Johnson, C., (1985) Matrix Analysis, , Cambridge: Cambridge University Press
- Sederberg, T.W., Chen, F., (1995) Proceedings of SIGGRAPH, p. 301. , 308
- Sederberg, T.W., Goldman, R., Du, H., Implicitizing rational curves by the method of moving algebraic surfaces (1997) J. Symb. Comput., 23, pp. 153-173
- Sturmfels, B., Sparse elimination theory (1993) Computational Algebraic Geometry and Commutative Algebra, Proceedings, Cortona, June, 1991, pp. 264-298. , D. Eisenbud, & L. Robbiano. Cambridge: Cambridge University Press
- Zhang, M., Chionh, E., Goldman, R., On a relationship between the moving line and moving conic coefficient matrices (1999) Comput.-Aided Geom. Des., 16, pp. 517-527
Citas:
---------- APA ----------
(2001) . Resultants and Moving Surfaces. Journal of Symbolic Computation, 31(5), 585-602.http://dx.doi.org/10.1006/jsco.2001.0443
---------- CHICAGO ----------
D'Andrea, C. "Resultants and Moving Surfaces" . Journal of Symbolic Computation 31, no. 5 (2001) : 585-602.http://dx.doi.org/10.1006/jsco.2001.0443
---------- MLA ----------
D'Andrea, C. "Resultants and Moving Surfaces" . Journal of Symbolic Computation, vol. 31, no. 5, 2001, pp. 585-602.http://dx.doi.org/10.1006/jsco.2001.0443
---------- VANCOUVER ----------
D'Andrea, C. Resultants and Moving Surfaces. J. Symb. Comput. 2001;31(5):585-602.http://dx.doi.org/10.1006/jsco.2001.0443
